Details

analyze329.0ms (3.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	7
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	8
14.1%	14%	85.8%	0.1%	0%	0%	0%	9
25.8%	25.7%	74.1%	0.1%	0%	0%	0%	10
30.1%	30%	69.8%	0.1%	0%	0%	0%	11
34.2%	34.1%	65.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.5s (15.2%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess118.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2164×	`fma-def_binary64`
374×	`distribute-rgt-out_binary64`
341×	`associate-/l*_binary64`
273×	`associate-l_binary64`
218×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	100
1	109	100
2	233	92
3	609	92
4	1275	92
5	2293	92
6	2673	92
7	3080	92
8	3592	92
9	4303	92
10	4326	92
11	5764	92
12	5764	92
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (*.f64 x (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)) (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000)))
(+.f64 y (*.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) y)
(fma.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 x (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(fma.f64 x (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (/.f64 y (/.f64 (fma.f64 (+.f64 x 6012459259764103/1000000000000000) x 104698244219447/31250000000000) (fma.f64 (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) x 11167812716741/40000000000000))))
(+.f64 z (*.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) z)
(fma.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 x (+.f64 x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (/.f64 z (/.f64 (fma.f64 (+.f64 y 6012459259764103/1000000000000000) y 104698244219447/31250000000000) (fma.f64 (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) y 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 z (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(fma.f64 z (/.f64 (fma.f64 y (fma.f64 y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 y (+.f64 y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`
72×	`associate-l_binary64`
63×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) x)
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

eval2.0ms (0%)

Compiler: Compiled 111 to 75 computations (32.4% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Error

14.3b

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.4b	(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
▶	18.9b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	14.6b	(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
▶	15.5b	(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Compiler

Compiled 86 to 62 computations (27.9% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	4.2b	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	17.5b	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

Compiler

Compiled 73 to 50 computations (31.5% saved)

series40.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
6.0ms	z	@	-inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
5.0ms	z	@	inf	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
5.0ms	z	@	-inf	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
3.0ms	y	@	0	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

Compiler

Compiled 3072 to 2456 computations (20.1% saved)

rewrite106.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
382×	`pow2_binary64`
268×	`pow1/3_binary64`
267×	`expm1-udef_binary64`
267×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	305	47
2	3727	47

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 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simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

341×	`log-prod_binary64`
315×	`associate-r_binary64`
309×	`cancel-sign-sub-inv_binary64`
302×	`associate-l_binary64`
295×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	466	3443
1	1213	3089
2	5024	3076

Stop Event

1×	node limit

Counts

201 → 260

Calls

Call 1

Inputs
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(*.f64 1 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(*.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
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(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(*.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2)
(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) -1)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) 1) -1)
(neg.f64 (/.f64 y (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2))
(log.f64 (exp.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
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(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))
(+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(+.f64 0 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 (.f64 (.f64 z 692910599291889/10000000000000000) 1) 307332350656623/625000000000000)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1)
(*.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(*.f64 1 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z 692910599291889/10000000000000000) 3) 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z 692910599291889/10000000000000000) 2) (-.f64 94453173760125479739253764129/390625000000000000000000000000 (.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2) 94453173760125479739253764129/390625000000000000000000000000) (fma.f64 z 692910599291889/10000000000000000 -307332350656623/625000000000000))
(pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 1)
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)
(pow.f64 (sqrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
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(log1p.f64 (expm1.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1))
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(+.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000)
(+.f64 0 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(+.f64 (.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 1) 11167812716741/40000000000000)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)
(*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(*.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) 124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
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(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))

Outputs
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(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
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(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 692910599291889/10000000000000000 (.f64 z z))))
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
✓	0.1b	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	14.4b	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))

Compiler

Compiled 79 to 55 computations (30.4% saved)

series34.0ms (0.4%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	z	@	inf	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
5.0ms	z	@	-inf	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
3.0ms	z	@	inf	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
3.0ms	z	@	-inf	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
2.0ms	z	@	0	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))

Compiler

Compiled 2148 to 1743 computations (18.9% saved)

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`log-prod_binary64`
392×	`pow2_binary64`
274×	`pow1/3_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	311	50
2	3955	50

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

Inputs
(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)

Inputs

(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))

(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))

(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (/.f64 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 2) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 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Outputs

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simplify116.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

371×	`log-prod_binary64`
243×	`cancel-sign-sub-inv_binary64`
240×	`associate-r_binary64`
232×	`cube-prod_binary64`
208×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	3517
1	1062	3204
2	4293	3194

Stop Event

1×	node limit

Counts

167 → 227

Calls

Call 1

Inputs
3350343815022304/279195317918525
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(+.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 3350343815022304/279195317918525 (.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2))))
(+.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 (.f64 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3)) (+.f64 3350343815022304/279195317918525 (*.f64 -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)))))
10000000000000000/692910599291889
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 (/.f64 1 z) 2))) (.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 (.f64 -16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 (/.f64 1 z) 3)) (+.f64 10000000000000000/692910599291889 (.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 (/.f64 1 z) 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
10000000000000000/692910599291889
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 (/.f64 -1 z) 2))) (.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 (+.f64 10000000000000000/692910599291889 (+.f64 (.f64 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (pow.f64 (/.f64 -1 z) 3)) (.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 (/.f64 -1 z) 2)))) (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(*.f64 279195317918525/3350343815022304 y)
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(/.f64 (-.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) 124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))

Outputs
3350343815022304/279195317918525
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(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
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10000000000000000/692910599291889
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10000000000000000/692910599291889
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(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(+.f64 11167812716741/40000000000000 (fma.f64 307332350656623/625000000000000 z (.f64 (.f64 z z) 692910599291889/10000000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	0.6b	(*.f64 z 692910599291889/10000000000000000)
✓	3.4b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	18.1b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 101 to 73 computations (27.7% saved)

series31.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
5.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	y	@	0	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	y	@	inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	z	@	0	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 2152 to 1699 computations (21.1% saved)

rewrite111.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`prod-diff_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
203×	`add-sqr-sqrt_binary64`
192×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	45
1	401	45
2	5487	45

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 z 692910599291889/10000000000000000)
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> 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11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (.f64 (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 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z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 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simplify113.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

590×	`unswap-sqr_binary64`
308×	`cancel-sign-sub-inv_binary64`
287×	`log-prod_binary64`
275×	`associate-l_binary64`
271×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	393	3092
1	1102	2984
2	4441	2972

Stop Event

1×	node limit

Counts

175 → 213

Calls

Call 1

Inputs
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(pow.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) -1)
(neg.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (exp.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(+.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000))
(+.f64 (.f64 y 11167812716741/40000000000000) (.f64 y (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(+.f64 (.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 1) (.f64 (*.f64 y 11167812716741/40000000000000) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) 3) (pow.f64 (.f64 y 11167812716741/40000000000000) 3)) (+.f64 (.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (-.f64 (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000)) (.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))) (.f64 (.f64 y 11167812716741/40000000000000) (.f64 y 11167812716741/40000000000000))) (-.f64 (.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 y 11167812716741/40000000000000)))
(/.f64 (.f64 (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
(pow.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 3)
(pow.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)
(sqrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(log1p.f64 (expm1.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (log.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 1))
(fma.f64 y (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (.f64 y 11167812716741/40000000000000))
(fma.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) y (.f64 y 11167812716741/40000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000))) 1)
(pow.f64 (*.f64 z 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 z 692910599291889/10000000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 z 692910599291889/10000000000000000)) 2)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 z 692910599291889/10000000000000000)) 1))
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(+.f64 (.f64 z 6012459259764103/1000000000000000) (.f64 z z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(/.f64 (.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 (.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))

Outputs
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
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(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z 692910599291889/10000000000000000) 2))
(*.f64 692910599291889/10000000000000000 z)
(log.f64 (pow.f64 (exp.f64 z) 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 692910599291889/10000000000000000))))
(*.f64 692910599291889/10000000000000000 z)
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(log1p.f64 (expm1.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (log.f64 (*.f64 z 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 z)
(exp.f64 (.f64 (log.f64 (.f64 z 692910599291889/10000000000000000)) 1))
(*.f64 692910599291889/10000000000000000 z)
(+.f64 (.f64 z z) (.f64 z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (.f64 z 6012459259764103/1000000000000000) (.f64 z z))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000))))
(/.f64 (*.f64 (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000) z) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(*.f64 (/.f64 z (+.f64 z -6012459259764103/1000000000000000)) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))
(/.f64 (.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (.f64 z (+.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000)) (fma.f64 z z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z 6012459259764103/1000000000000000))))
(/.f64 (fma.f64 z 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 4)) (fma.f64 z z (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z -6012459259764103/1000000000000000))))
(/.f64 (*.f64 z (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)) (+.f64 z -6012459259764103/1000000000000000))
(/.f64 z (/.f64 (+.f64 z -6012459259764103/1000000000000000) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000)))
(*.f64 (/.f64 z (+.f64 z -6012459259764103/1000000000000000)) (fma.f64 z z -36149666350323105395943207394609/1000000000000000000000000000000))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	0.2b	(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	13.9b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Compiler

Compiled 62 to 43 computations (30.6% saved)

series25.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
3.0ms	z	@	inf	(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
3.0ms	z	@	-inf	(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)
3.0ms	z	@	-inf	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
3.0ms	z	@	inf	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Compiler

Compiled 1720 to 1372 computations (20.2% saved)

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`log-prod_binary64`
408×	`pow2_binary64`
285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
284×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	323	42
2	3882	42

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs

(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 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104698244219447/31250000000000)) y x)) 1))))))

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

482×	`associate-*l/_binary64`
386×	`unswap-sqr_binary64`
343×	`associate-*r/_binary64`
294×	`associate-+l+_binary64`
281×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3123
1	684	3047
2	2234	2458

Stop Event

1×	node limit

Counts

117 → 144

Calls

Call 1

Inputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 3)) (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2)) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (+.f64 (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 -1 z) 2)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
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(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1))
(+.f64 x (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))
(+.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) x)
(+.f64 0 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))
(+.f64 (.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 1) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))) 1)
(*.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1)
(*.f64 1 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2) (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 2) (-.f64 (.f64 x x) (.f64 (*.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y) 2) (.f64 x x)) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y (neg.f64 x)))
(pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 1)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 2))
(log.f64 (exp.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x))))
(log.f64 (.f64 (exp.f64 x) (exp.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y))))
(log.f64 (.f64 (exp.f64 (.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(exp.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)) 1))

Outputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304)
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(+.f64 279195317918525/3350343815022304 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z z))))
(+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) (.f64 z (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
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(+.f64 (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 z 279195317918525/3350343815022304) (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (.f64 z z) (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3))))
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692910599291889/10000000000000000
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(+.f64 692910599291889/10000000000000000 (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
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(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)) (+.f64 692910599291889/10000000000000000 (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
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692910599291889/10000000000000000
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(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
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(fma.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3)) (+.f64 692910599291889/10000000000000000 (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (+.f64 (fma.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow.f64 (/.f64 1 z) 2) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (+.f64 (/.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) (+.f64 692910599291889/10000000000000000 (/.f64 (/.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 z) z))))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
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(fma.f64 (+.f64 (/.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) z)) (/.f64 11167812716741/40000000000000 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) y x)
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eval490.0ms (5.1%)

Compiler: Compiled 24489 to 17335 computations (29.2% saved)

prune256.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	969	12	981
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	973	12	985

Error

Counts

985 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	39.3b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
▶	13.5b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	23.7b	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	14.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	18.9b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
▶	17.9b	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	16.3b	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
	17.7b	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
▶	14.6b	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	13.4b	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
▶	26.1b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
	34.1b	x

Compiler

Compiled 310 to 231 computations (25.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	0.1b	(/.f64 y 3350343815022304/279195317918525)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series9.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
1.0ms	y	@	inf	(/.f64 y 3350343815022304/279195317918525)
1.0ms	y	@	0	(/.f64 y 3350343815022304/279195317918525)
1.0ms	y	@	-inf	(/.f64 y 3350343815022304/279195317918525)
1.0ms	y	@	inf	(+.f64 x (/.f64 y 3350343815022304/279195317918525))

Compiler

Compiled 282 to 228 computations (19.1% saved)

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	138	9
2	1889	9

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 279195317918525/3350343815022304 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 279195317918525/3350343815022304))) (/.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2)) (/.f64 1 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 279195317918525/3350343815022304) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2) (*.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) x)))))

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

505×	`times-frac_binary64`
389×	`fma-def_binary64`
295×	`log-prod_binary64`
242×	`unswap-sqr_binary64`
242×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	575
1	299	550
2	1023	540
3	5877	540

Stop Event

1×	node limit

Counts

93 → 64

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(-.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1)
(*.f64 y 279195317918525/3350343815022304)
(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(.f64 (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) (pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(.f64 (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))
(log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (+.f64 1 (fma.f64 y 279195317918525/3350343815022304 x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 279195317918525/3350343815022304))) (/.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 2) (-.f64 x (.f64 y 279195317918525/3350343815022304))))
(*.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 279195317918525/3350343815022304) 2)) (/.f64 1 (-.f64 x (.f64 y 279195317918525/3350343815022304))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (-.f64 (.f64 y 279195317918525/3350343815022304) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 279195317918525/3350343815022304)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (-.f64 (.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (+.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 2) (-.f64 (.f64 x x) (.f64 (*.f64 y 279195317918525/3350343815022304) x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 279195317918525/3350343815022304) 2)) (-.f64 x (*.f64 y 279195317918525/3350343815022304)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (-.f64 (.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 279195317918525/3350343815022304) 2))) (neg.f64 (-.f64 x (*.f64 y 279195317918525/3350343815022304))))
(/.f64 (-.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 2) (.f64 x x)) (-.f64 (*.f64 y 279195317918525/3350343815022304) x))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 2))
(log.f64 (exp.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(exp.f64 (log.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 1 (*.f64 y 279195317918525/3350343815022304) x)
(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) x)

Outputs
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
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(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
x
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(fma.f64 279195317918525/3350343815022304 y x)
x
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(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 279195317918525/3350343815022304 y x)
x
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
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(-.f64 (+.f64 1 (*.f64 y 279195317918525/3350343815022304)) 1)
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(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
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(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
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(.f64 (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(sqrt.f64 (pow.f64 (*.f64 y 279195317918525/3350343815022304) 2))
(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
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(/.f64 y 3350343815022304/279195317918525)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
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(*.f64 279195317918525/3350343815022304 y)
(/.f64 y 3350343815022304/279195317918525)
(-.f64 (+.f64 1 (fma.f64 y 279195317918525/3350343815022304 x)) 1)
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(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(fma.f64 279195317918525/3350343815022304 y x)
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (-.f64 (*.f64 y 279195317918525/3350343815022304) x)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) 1) (fma.f64 x x (.f64 y (.f64 279195317918525/3350343815022304 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 279195317918525/3350343815022304 y) (fma.f64 279195317918525/3350343815022304 y (neg.f64 x)))))
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(fma.f64 279195317918525/3350343815022304 y x)
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(fma.f64 1 x (*.f64 y 279195317918525/3350343815022304))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) 2) (cbrt.f64 (.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 279195317918525/3350343815022304))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) x)
(fma.f64 279195317918525/3350343815022304 y x)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	0.1b	(/.f64 y 10000000000000000/692910599291889)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 y 10000000000000000/692910599291889)
1.0ms	y	@	-inf	(/.f64 y 10000000000000000/692910599291889)
1.0ms	y	@	inf	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
1.0ms	x	@	0	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
1.0ms	y	@	inf	(/.f64 y 10000000000000000/692910599291889)

Compiler

Compiled 282 to 228 computations (19.1% saved)

rewrite109.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	138	9
2	1889	9

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y -10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y 692910599291889/10000000000000000))) (/.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (-.f64 (*.f64 x x) (*.f64 (*.f64 y 692910599291889/10000000000000000) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) (*.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) x)))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

505×	`times-frac_binary64`
389×	`fma-def_binary64`
295×	`log-prod_binary64`
242×	`unswap-sqr_binary64`
242×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	575
1	299	550
2	1023	540
3	5877	540

Stop Event

1×	node limit

Counts

93 → 64

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(-.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)
(*.f64 y 692910599291889/10000000000000000)
(.f64 (.f64 y 692910599291889/10000000000000000) 1)
(.f64 1 (.f64 y 692910599291889/10000000000000000))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 692910599291889/10000000000000000))
(.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) 692910599291889/10000000000000000))
(.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (+.f64 1 (fma.f64 y 692910599291889/10000000000000000 x)) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 692910599291889/10000000000000000))) (/.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 x (.f64 y 692910599291889/10000000000000000))))
(*.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 692910599291889/10000000000000000) 2)) (/.f64 1 (-.f64 x (.f64 y 692910599291889/10000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (.f64 x x) (.f64 (*.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 692910599291889/10000000000000000) 2)) (-.f64 x (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 y 692910599291889/10000000000000000) 2))) (neg.f64 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (.f64 x x)) (-.f64 (*.f64 y 692910599291889/10000000000000000) x))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) x)

Outputs
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 y 10000000000000000/692910599291889)
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(fma.f64 692910599291889/10000000000000000 y x)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	0.2b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series6.0ms (0.1%)

Counts

2 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 279195317918525/3350343815022304 y)
1.0ms	y	@	-inf	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
1.0ms	x	@	0	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
1.0ms	y	@	inf	(*.f64 279195317918525/3350343815022304 y)
1.0ms	y	@	inf	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

Compiler

Compiled 282 to 228 computations (19.1% saved)

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1732	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 279195317918525/3350343815022304 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 279195317918525/3350343815022304 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) x)))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

538×	`div-sub_binary64`
535×	`associate-l_binary64`
497×	`associate-r_binary64`
310×	`log-prod_binary64`
278×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	640
1	256	543
2	864	437
3	5969	437

Stop Event

1×	node limit

Counts

52 → 54

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x
(-.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)
(pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))
(log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))
(exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))
(-.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (-.f64 (.f64 279195317918525/3350343815022304 y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 279195317918525/3350343815022304 y) x)))
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 279195317918525/3350343815022304 y) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)))) (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 279195317918525/3350343815022304 (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 y 279195317918525/3350343815022304 x)
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (.f64 279195317918525/3350343815022304 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(fma.f64 (sqrt.f64 (.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (.f64 279195317918525/3350343815022304 y)) x)

Outputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
x
x
(-.f64 (+.f64 1 (*.f64 279195317918525/3350343815022304 y)) 1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 279195317918525/3350343815022304 y) 1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (cbrt.f64 (*.f64 279195317918525/3350343815022304 y)) 3)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (sqrt.f64 (*.f64 279195317918525/3350343815022304 y)) 2)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(sqrt.f64 (pow.f64 (*.f64 279195317918525/3350343815022304 y) 2))
(*.f64 279195317918525/3350343815022304 y)
(log.f64 (pow.f64 (exp.f64 279195317918525/3350343815022304) y))
(*.f64 279195317918525/3350343815022304 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 279195317918525/3350343815022304 y)))
(*.f64 279195317918525/3350343815022304 y)
(log1p.f64 (expm1.f64 (*.f64 279195317918525/3350343815022304 y)))
(*.f64 279195317918525/3350343815022304 y)
(exp.f64 (log.f64 (*.f64 279195317918525/3350343815022304 y)))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (+.f64 1 (fma.f64 279195317918525/3350343815022304 y x)) 1)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(-.f64 (/.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (-.f64 (.f64 279195317918525/3350343815022304 y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(*.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 1 (fma.f64 279195317918525/3350343815022304 y x))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2) (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(*.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (*.f64 279195317918525/3350343815022304 y))))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)))) (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 1 (/.f64 (-.f64 (.f64 279195317918525/3350343815022304 y) x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 279195317918525/3350343815022304 (*.f64 y x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y))))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 279195317918525/3350343815022304 y)) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -279195317918525/3350343815022304 x) (.f64 y (.f64 y 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 279195317918525/3350343815022304 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 279195317918525/3350343815022304 y) 2)) (-.f64 x (*.f64 279195317918525/3350343815022304 y)))
(/.f64 (-.f64 (pow.f64 (.f64 279195317918525/3350343815022304 y) 2) (.f64 x x)) (-.f64 (*.f64 279195317918525/3350343815022304 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -77950025547626246938538175625/11224803678858206361900017468416)) (fma.f64 y -279195317918525/3350343815022304 x))
(pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 1)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (cbrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 3)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(pow.f64 (sqrt.f64 (fma.f64 279195317918525/3350343815022304 y x)) 2)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(sqrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 2))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(log.f64 (exp.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(cbrt.f64 (pow.f64 (fma.f64 279195317918525/3350343815022304 y x) 3))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(expm1.f64 (log1p.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(log1p.f64 (expm1.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(exp.f64 (log.f64 (fma.f64 279195317918525/3350343815022304 y x)))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 279195317918525/3350343815022304 y x)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 y 279195317918525/3350343815022304 x)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 1 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 279195317918525/3350343815022304 y)) 2) (cbrt.f64 (.f64 279195317918525/3350343815022304 y)) x)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 279195317918525/3350343815022304 y))
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)
(fma.f64 (sqrt.f64 (.f64 279195317918525/3350343815022304 y)) (sqrt.f64 (.f64 279195317918525/3350343815022304 y)) x)
(+.f64 1 (-.f64 (fma.f64 279195317918525/3350343815022304 y x) 1))
(+.f64 (fma.f64 279195317918525/3350343815022304 y x) 0)
(fma.f64 279195317918525/3350343815022304 y x)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	0.0b	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	0.1b	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	0.1b	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series35.0ms (0.4%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
3.0ms	z	@	inf	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
3.0ms	z	@	-inf	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
3.0ms	z	@	-inf	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
3.0ms	z	@	inf	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

Compiler

Compiled 1954 to 1553 computations (20.5% saved)

rewrite94.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`prod-diff_binary64`
545×	`log-prod_binary64`
252×	`fma-def_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	234	34
2	3312	34

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))

Outputs
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simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

423×	`cancel-sign-sub-inv_binary64`
295×	`log-prod_binary64`
261×	`fma-def_binary64`
247×	`distribute-rgt-neg-in_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	425	3509
1	1052	3391
2	3603	3338

Stop Event

1×	node limit

Counts

242 → 280

Calls

Call 1

Inputs
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(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(.f64 -160041699537014921582740396107/2504069538682520235663395798110 (.f64 y z))
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
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x
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x
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(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
x
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
(+.f64 (/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))) x)
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(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889))
(/.f64 (neg.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3))) (neg.f64 (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) 100000000000000000000000000000000/480125098611044764748221188321)))
(/.f64 (neg.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) (neg.f64 (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1)
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3)
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2)
(pow.f64 (/.f64 (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) 100000000000000000000000000000000/480125098611044764748221188321) (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) -1)
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3))
(expm1.f64 (log1p.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1))
(fma.f64 2504069538682520235663395798110/160041699537014921582740396107 (neg.f64 (/.f64 1 z)) 10000000000000000/692910599291889)
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (neg.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 10000000000000000/692910599291889)
(fma.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (neg.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 10000000000000000/692910599291889)
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889)
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(fma.f64 -1 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)) (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)

Outputs
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
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(/.f64 y (-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))))
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(.f64 -160041699537014921582740396107/2504069538682520235663395798110 (.f64 y z))
(.f64 z (.f64 y -160041699537014921582740396107/2504069538682520235663395798110))
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(fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (.f64 y (.f64 z z)) (fma.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (.f64 y (pow.f64 z 4)) (fma.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (.f64 y (pow.f64 z 3)) (.f64 -160041699537014921582740396107/2504069538682520235663395798110 (.f64 y z)))))
(fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (.f64 y (.f64 z z)) (fma.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (.f64 y (pow.f64 z 4)) (fma.f64 -160041699537014921582740396107/2504069538682520235663395798110 (.f64 y z) (.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (.f64 y (pow.f64 z 3))))))
(fma.f64 -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (.f64 y (.f64 z z)) (fma.f64 -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 (.f64 y (pow.f64 z 4)) (.f64 y (+.f64 (.f64 -160041699537014921582740396107/2504069538682520235663395798110 z) (.f64 -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (pow.f64 z 3))))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
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(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 3)) (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (-.f64 (.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(*.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (/.f64 1 (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 100000000000000000000000000000000/480125098611044764748221188321)))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (fma.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) -10000000000000000/692910599291889) 100000000000000000000000000000000/480125098611044764748221188321))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 100000000000000000000000000000000/480125098611044764748221188321))
(/.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (*.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (.f64 z z))) (/.f64 1 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 1)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3) 1/3)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (cbrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 3)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (sqrt.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 2)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(pow.f64 (/.f64 (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) 100000000000000000000000000000000/480125098611044764748221188321) (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 3))) -1)
(*.f64 (-.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (/.f64 1 (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 100000000000000000000000000000000/480125098611044764748221188321)))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (fma.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) (+.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) -10000000000000000/692910599291889) 100000000000000000000000000000000/480125098611044764748221188321))
(/.f64 (+.f64 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/.f64 -15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3))) (fma.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 100000000000000000000000000000000/480125098611044764748221188321))
(pow.f64 (/.f64 (+.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889) (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))) -1)
(.f64 (-.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (.f64 z z))) (/.f64 1 (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (+.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 (+.f64 100000000000000000000000000000000/480125098611044764748221188321 (/.f64 -6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z))) (-.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))
(sqrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 2))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(log.f64 (exp.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(cbrt.f64 (pow.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 3))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(expm1.f64 (log1p.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(exp.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) 1))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 2504069538682520235663395798110/160041699537014921582740396107 (neg.f64 (/.f64 1 z)) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 1 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (neg.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (neg.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))) (cbrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 -1 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)) (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 10000000000000000/692910599291889)
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
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localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))
✓	0.1b	(*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)
✓	0.2b	(.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
✓	3.0b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))

Compiler

Compiled 57 to 41 computations (28.1% saved)

series16.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
1.0ms	z	@	inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
1.0ms	z	@	-inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
1.0ms	y	@	inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
1.0ms	z	@	inf	(.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))

Compiler

Compiled 740 to 614 computations (17% saved)

rewrite125.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary64`
568×	`prod-diff_binary64`
323×	`pow2_binary64`
322×	`fma-def_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	254	29
2	3490	29

Stop Event

1×	node limit

Counts

4 → 174

Calls

Call 1

Inputs
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
(.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
(*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)
(+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y 279195317918525/3350343815022304) (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y 279195317918525/3350343815022304) 1) (.f64 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 3) (pow.f64 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 3)) (+.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 2) (-.f64 (pow.f64 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 2) (.f64 (.f64 y 279195317918525/3350343815022304) (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 y 279195317918525/3350343815022304) 2) (pow.f64 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) 2)) (-.f64 (.f64 y 279195317918525/3350343815022304) (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 3)) y) (fma.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 2)) y) (-.f64 279195317918525/3350343815022304 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 (pow.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 3))) (fma.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) -279195317918525/3350343815022304) 77950025547626246938538175625/11224803678858206361900017468416))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (-.f64 77950025547626246938538175625/11224803678858206361900017468416 (pow.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 2))) (-.f64 279195317918525/3350343815022304 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 y 3) (pow.f64 (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 3) (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 y (.f64 z (fma.f64 z 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-155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 y (fma.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 279195317918525/3350343815022304 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 279195317918525/3350343815022304 y (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) y) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) (.f64 z y) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) y (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y 279195317918525/3350343815022304) (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 y (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (.f64 z (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))) (.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) 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3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (fma.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (fma.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z) (-.f64 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3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)) (neg.f64 (fma.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 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simplify171.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

375×	`cancel-sign-sub-inv_binary64`
331×	`times-frac_binary64`
293×	`associate-l_binary64`
277×	`associate-r_binary64`
252×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	429	2842
1	1045	2594
2	3527	2518

Stop Event

1×	node limit

Counts

234 → 260

Calls

Call 1

Inputs
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
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(/.f64 1 (/.f64 (fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400) (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)))
(/.f64 1 (/.f64 (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z)))))
(/.f64 (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400))
(/.f64 (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000) (fma.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z) (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 -23265571835620385449372015940359760705039569006995910999756264738360237431/10553266211230463168728826708800154029515613880058511220242965153460105353625600 z))))
(/.f64 (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z))) (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))
(/.f64 (neg.f64 (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)) (neg.f64 (fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400)))
(/.f64 (neg.f64 (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z)))) (neg.f64 (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))
(/.f64 (fma.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080))
(pow.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 1)
(pow.f64 (pow.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 3)
(pow.f64 (sqrt.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 155900051080628738716045985239/56124018394291031809500087342080) 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400) (fma.f64 3323551567806188124637011382194464569951153686080196086882908438692394364805070817908631316412765807647300308221503565506257643257889/6648358131230012282492277871350764432715368609992792676971183591825004905774773230632697847402180227517833868906809766956991288832497287168000 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/176785350895399229332556051132753649373740215222282505784149730667059444577753454877356326912000)) -1)
(pow.f64 (/.f64 (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) (-.f64 24304825926942649962295480741151107170296249740890205887121/3149905440722718088495328711377149875567937175795148638938726400 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z)))) -1)
(sqrt.f64 (pow.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 2))
(log.f64 (exp.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080))))
(cbrt.f64 (pow.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080) 3))
(expm1.f64 (log1p.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))
(log1p.f64 (expm1.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))
(exp.f64 (log.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)) 1))
(fma.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 1 -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 1 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (cbrt.f64 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z))) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z))) (cbrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (sqrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (sqrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (sqrt.f64 z)) (sqrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080)

Outputs
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 (-.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080) z)))
(*.f64 y (fma.f64 z (fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 1 -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 1 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (cbrt.f64 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (*.f64 z z))) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) (cbrt.f64 (.f64 (*.f64 z z) 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 (.f64 z z) 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400)) (cbrt.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400 (.f64 z z))) (cbrt.f64 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) (cbrt.f64 (.f64 (*.f64 z z) 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (cbrt.f64 (.f64 (.f64 z z) 22270755382715139919125679637099019108685387250656870803637165541780338226039593446491841/35357070179079845866511210226550729874748043044456501156829946133411888915550690975471265382400)) (cbrt.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (sqrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (sqrt.f64 (.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (sqrt.f64 z)) (sqrt.f64 z) -155900051080628738716045985239/56124018394291031809500087342080)
(fma.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z -155900051080628738716045985239/56124018394291031809500087342080)

eval240.0ms (2.5%)

Compiler: Compiled 11393 to 7826 computations (31.3% saved)

prune157.0ms (1.6%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	721	1	722
Fresh	0	7	7
Picked	0	1	1
Done	0	4	4
Total	721	13	734

Error

Counts

734 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.3b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
✓	13.5b	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	23.7b	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	14.8b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	18.9b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
✓	17.9b	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	16.3b	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
	17.7b	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
✓	14.6b	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	13.4b	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	26.1b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
▶	41.5b	(*.f64 279195317918525/3350343815022304 y)
	34.1b	x

Compiler

Compiled 270 to 202 computations (25.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	0.5b	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series7.0ms (0.1%)

Counts

2 → 6

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 692910599291889/10000000000000000 y)
1.0ms	y	@	inf	(*.f64 692910599291889/10000000000000000 y)
1.0ms	x	@	0	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
1.0ms	y	@	inf	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
1.0ms	y	@	-inf	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Compiler

Compiled 282 to 228 computations (19.1% saved)

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
629×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1732	9

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 692910599291889/10000000000000000 y x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 692910599291889/10000000000000000 y x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 692910599291889/10000000000000000 x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

538×	`div-sub_binary64`
535×	`associate-l_binary64`
497×	`associate-r_binary64`
310×	`log-prod_binary64`
278×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	640
1	256	543
2	864	437
3	5969	437

Stop Event

1×	node limit

Counts

52 → 54

Calls

Call 1

Inputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(-.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
(-.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (-.f64 (.f64 692910599291889/10000000000000000 y) x)) (/.f64 (.f64 x x) (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(*.f64 1 (fma.f64 692910599291889/10000000000000000 y x))
(*.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(*.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))
(.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y)))) (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y)))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 692910599291889/10000000000000000 (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
(pow.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)
(pow.f64 (sqrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 2))
(log.f64 (exp.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(cbrt.f64 (pow.f64 (fma.f64 692910599291889/10000000000000000 y x) 3))
(expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(log1p.f64 (expm1.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(exp.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 1 x (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (.f64 692910599291889/10000000000000000 y)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 692910599291889/10000000000000000 y))
(fma.f64 (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) x)

Outputs
x
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
x
x
(-.f64 (+.f64 1 (*.f64 692910599291889/10000000000000000 y)) 1)
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(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(sqrt.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 2))
(*.f64 692910599291889/10000000000000000 y)
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(*.f64 692910599291889/10000000000000000 y)
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(log1p.f64 (expm1.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)))
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(-.f64 (+.f64 1 (fma.f64 692910599291889/10000000000000000 y x)) 1)
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(/.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(*.f64 (fma.f64 692910599291889/10000000000000000 y x) 1)
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 2) (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)))
(+.f64 1 (-.f64 (fma.f64 692910599291889/10000000000000000 y x) 1))
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(/.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
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(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (*.f64 x x))))
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(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (+.f64 x (.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y)) (pow.f64 (.f64 692910599291889/10000000000000000 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 692910599291889/10000000000000000 (*.f64 y x)))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (+.f64 x (.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y)) (pow.f64 (.f64 692910599291889/10000000000000000 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y))))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) 1) (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x (+.f64 x (.f64 -692910599291889/10000000000000000 y)))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y)) (pow.f64 (.f64 692910599291889/10000000000000000 y) 2)))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (fma.f64 y -692910599291889/10000000000000000 x) (.f64 y (.f64 y 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))
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(/.f64 (fma.f64 x x (.f64 (.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 692910599291889/10000000000000000 y) 2)) (-.f64 x (*.f64 692910599291889/10000000000000000 y)))
(/.f64 (-.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 2) (.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))
(/.f64 (fma.f64 x x (.f64 (.f64 y y) -480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 y -692910599291889/10000000000000000 x))
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(fma.f64 692910599291889/10000000000000000 y x)
(pow.f64 (cbrt.f64 (fma.f64 692910599291889/10000000000000000 y x)) 3)
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(fma.f64 (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) (sqrt.f64 (.f64 692910599291889/10000000000000000 y)) x)
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localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 279195317918525/3350343815022304 y)

Compiler

Compiled 8 to 6 computations (25% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)

✓

0.1b

(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)

✓

0.1b

(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series20.0ms (0.2%)

Counts

3 → 15

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
4.0ms	z	@	-inf	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
2.0ms	z	@	inf	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
2.0ms	y	@	0	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
1.0ms	y	@	inf	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

Compiler

Compiled 1136 to 917 computations (19.3% saved)

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
874×	`add-log-exp_binary64`
874×	`log1p-expm1-u_binary64`
874×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	178	17
2	2281	17

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)

(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 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155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))) (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 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155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 155900051080628738716045985239/389750127738131234692690878125) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)) (/.f64 11224803678858206361900017468416/77950025547626246938538175625 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))) (#(struct:change #<rule 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37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (-.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))) (neg.f64 (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625)) (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)))))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

746×	`fma-def_binary64`
560×	`associate-/r*_binary64`
485×	`unswap-sqr_binary64`
464×	`associate-*l/_binary64`
463×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	1334
1	588	1121
2	2030	913

Stop Event

1×	node limit

Counts

91 → 133

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 (pow.f64 z 2) y)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 (pow.f64 z 2) y)) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
(+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 1 z) 3) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 1 z) 3) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (+.f64 (.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (.f64 y (pow.f64 (/.f64 1 z) 4))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
(+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 (pow.f64 (/.f64 -1 z) 2) y)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(+.f64 (.f64 -8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 -1 z) 3) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 (pow.f64 (/.f64 -1 z) 2) y)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(+.f64 (.f64 -8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 -1 z) 3) y)) (+.f64 (.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (.f64 (pow.f64 (/.f64 -1 z) 4) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 (pow.f64 (/.f64 -1 z) 2) y)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
3350343815022304/279195317918525
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(-.f64 (+.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 1)
(*.f64 y (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)
(*.f64 1 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (/.f64 y (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 y (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) (/.f64 (cbrt.f64 y) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(.f64 (/.f64 y (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))) (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))
(.f64 (/.f64 y (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))
(pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)
(pow.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))) 2)
(pow.f64 (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) y) -1)
(neg.f64 (/.f64 y (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(sqrt.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))
(log.f64 (exp.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(cbrt.f64 (pow.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(log1p.f64 (expm1.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(exp.f64 (log.f64 (/.f64 y (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))))
(-.f64 (+.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 1)
(pow.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 1)
(pow.f64 (cbrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3)
(pow.f64 (sqrt.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2)
(pow.f64 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)) 1/3)
(sqrt.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 155900051080628738716045985239/389750127738131234692690878125) z))
(cbrt.f64 (*.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(log1p.f64 (expm1.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(exp.f64 (log.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(-.f64 (+.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 1)
(-.f64 (/.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)) (/.f64 11224803678858206361900017468416/77950025547626246938538175625 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(*.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)
(*.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525))
(*.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2) (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(*.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3))) (/.f64 1 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (*.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(.f64 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 1 (/.f64 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))) (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))))
(/.f64 1 (/.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525) (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625)))
(/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3))) (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))
(/.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3))) (+.f64 11224803678858206361900017468416/77950025547626246938538175625 (-.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625))))
(/.f64 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525))
(/.f64 (neg.f64 (+.f64 37606951580302195967838628608395321436655550464/21763282164526655827658843929444325890953125 (.f64 3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/59205056321600505207198264786734720763206505759200687450365017544628442291090118408203125 (pow.f64 z 3)))) (neg.f64 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (.f64 z 522318771899645755807858051289387636439770656/108816410822633279138294219647221629454765625)))))
(/.f64 (neg.f64 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z)) -11224803678858206361900017468416/77950025547626246938538175625)) (neg.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)
(pow.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)
(pow.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)
(sqrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 2))
(log.f64 (exp.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(cbrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3))
(expm1.f64 (log1p.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(fma.f64 (sqrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)

Outputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)))
(fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 279195317918525/3350343815022304 y))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 (pow.f64 z 2) y)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 279195317918525/3350343815022304 y)))
(.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) (fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (*.f64 z z) 279195317918525/3350343815022304)))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 (pow.f64 z 2) y)) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (.f64 z z)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z) (.f64 (pow.f64 z 3) (*.f64 y -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000)))))
(fma.f64 y (fma.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 z z) 279195317918525/3350343815022304) (.f64 y (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (pow.f64 z 3)))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
(*.f64 (/.f64 389750127738131234692690878125/155900051080628738716045985239 z) y)
(+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (.f64 (pow.f64 (/.f64 1 z) 2) (.f64 y -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121)))
(fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 (/.f64 y z) z)))
(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 1 z) 3) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 y (/.f64 1 (pow.f64 z 3))) (fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2)) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))))
(fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (/.f64 y (pow.f64 z 3)) (fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (.f64 (pow.f64 (/.f64 1 z) 2) (.f64 y -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121))))
(fma.f64 y (/.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (pow.f64 z 3)) (fma.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z) (*.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (/.f64 (/.f64 y z) z))))
(+.f64 (.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 (pow.f64 (/.f64 1 z) 3) y)) (+.f64 (.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2))) (+.f64 (.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (.f64 y (pow.f64 (/.f64 1 z) 4))) (*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
(fma.f64 8525528110310493107217358829919565281594830955295884054148844818157602381311542450000000000/3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919 (.f64 y (/.f64 1 (pow.f64 z 3))) (fma.f64 -1822861944862677550005702905516104912265037326083592337500000/24304825926942649962295480741151107170296249740890205887121 (.f64 y (pow.f64 (/.f64 1 z) 2)) (fma.f64 -39873908040342567067046441719054932589933590970022151679778966822883997618868713910090756831459948364488144600000000000000/590724563338983643962372834531741920535364530494984699021859876952259105769148219366939901641144597718544886593668641 (.f64 y (pow.f64 (/.f64 1 z) 4)) (.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z)))))
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(.f64 (fma.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z) -11224803678858206361900017468416/77950025547626246938538175625) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (fma.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z) -11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 -3350343815022304/279195317918525))
(/.f64 (fma.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 z -155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(/.f64 (-.f64 11224803678858206361900017468416/77950025547626246938538175625 (.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z))) (-.f64 3350343815022304/279195317918525 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 (fma.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (.f64 z z) -11224803678858206361900017468416/77950025547626246938538175625) (/.f64 1 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z -3350343815022304/279195317918525)))
(/.f64 (fma.f64 24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 (*.f64 z z) -11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 -3350343815022304/279195317918525))
(/.f64 (fma.f64 (*.f64 z z) -24304825926942649962295480741151107170296249740890205887121/151905162071889614473123871070876845531720365137583603515625 11224803678858206361900017468416/77950025547626246938538175625) (fma.f64 z -155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))
(pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 1)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (cbrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 3)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(pow.f64 (sqrt.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)) 2)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(sqrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 2))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(log.f64 (exp.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(cbrt.f64 (pow.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525) 3))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(expm1.f64 (log1p.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(log1p.f64 (expm1.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(exp.f64 (log.f64 (fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)))
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 1 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 2) (cbrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (sqrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) (sqrt.f64 (.f64 155900051080628738716045985239/389750127738131234692690878125 z)) 3350343815022304/279195317918525)
(+.f64 1 (-.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 1))
(+.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525) 0)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

✓

0.3b

(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))

0.5b

(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 37 to 19 computations (48.6% saved)

series30.0ms (0.3%)

Counts

2 → 18

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
2.0ms	y	@	inf	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
2.0ms	x	@	0	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
2.0ms	y	@	-inf	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
2.0ms	y	@	inf	(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))

Compiler

Compiled 2040 to 1565 computations (23.3% saved)

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`log-prod_binary64`
553×	`fma-def_binary64`
336×	`pow2_binary64`
301×	`fma-neg_binary64`
231×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	252	19
2	3602	19

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs

(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))

(+.f64 (*.f64 692910599291889/10000000000000000 y) (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (sqrt.f64 z)) (sqrt.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 1))))))

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simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

540×	`distribute-rgt-in_binary64`
517×	`distribute-lft-in_binary64`
390×	`unswap-sqr_binary64`
247×	`times-frac_binary64`
222×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	1945
1	735	1910
2	2197	1868

Stop Event

1×	node limit

Counts

134 → 148

Calls

Call 1

Inputs
x
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
x
x
(+.f64 0 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))) 1)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))
(/.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)
(/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) 1) z)
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (*.f64 (neg.f64 y) 751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (neg.f64 y)) (neg.f64 z))
(pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 1)
(pow.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 3)
(pow.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 2)
(pow.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 3) 1/3)
(pow.f64 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) -1)
(sqrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2))
(log.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 3))
(expm1.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(exp.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))) 1)
(-.f64 (/.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (/.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(*.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1)
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (/.f64 1 (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (/.f64 1 (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)) (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (-.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)) (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))) (neg.f64 (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)) (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))) (neg.f64 (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)) 2) (-.f64 (.f64 x x) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)) 2) (.f64 x x)) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) x))
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(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)) (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))) -1)
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(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
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(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000))) (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000) (+.f64 1 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
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(log.f64 (.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)))))
(log.f64 (.f64 (exp.f64 x) (.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000) (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (pow.f64 (exp.f64 y) 692910599291889/10000000000000000)))
(log.f64 (.f64 (exp.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000) (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z))) (exp.f64 x)))
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(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (.f64 (/.f64 1 z) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000 (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 1 (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (*.f64 y 692910599291889/10000000000000000) 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 x 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 1 (*.f64 y 692910599291889/10000000000000000))
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
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(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) x)
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(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
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(fma.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 2) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
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(fma.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (/.f64 1 z) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) 1 x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) x)
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Outputs
x
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
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(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
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(+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
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x
x
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 751220861604756070699018739433/10000000000000000000000000000000) (/.f64 y z)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
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(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))) 1)
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(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) 1) z)
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(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
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(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 x (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (cbrt.f64 (.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (cbrt.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (cbrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (cbrt.f64 (.f64 y (*.f64 y 480125098611044764748221188321/100000000000000000000000000000000))) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) 2) (.f64 (cbrt.f64 (/.f64 y z)) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(fma.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)))
(fma.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)) (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(fma.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 2) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) 751220861604756070699018739433/10000000000000000000000000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2))) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (-.f64 x (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))) (pow.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2))) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (/.f64 (.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)) (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))) (*.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 y 692910599291889/10000000000000000) (/.f64 (fma.f64 (pow.f64 (/.f64 y z) 3) 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 x 3)) (fma.f64 x (+.f64 x (/.f64 (.f64 y -751220861604756070699018739433/10000000000000000000000000000000) z)) (pow.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))))
(fma.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) 2) (.f64 x x)) (/.f64 1 (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)) x)) (.f64 y 692910599291889/10000000000000000))
(fma.f64 (-.f64 (pow.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)) (.f64 y 692910599291889/10000000000000000))
(fma.f64 (-.f64 (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (.f64 x x)) (/.f64 1 (-.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)) (.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 y 692910599291889/10000000000000000) (/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (.f64 x x)) (-.f64 (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)))
(fma.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (/.f64 1 z) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (*.f64 y 692910599291889/10000000000000000)) 1 x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000))) x)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 z) 2)) (/.f64 y (cbrt.f64 z)) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)) (+.f64 x (*.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (pow.f64 (cbrt.f64 (/.f64 y z)) 2)) (cbrt.f64 (/.f64 y z)) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)) (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)
✓	0.6b	(*.f64 692910599291889/10000000000000000 z)
✓	3.4b	(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
✓	18.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

Compiler

Compiled 79 to 58 computations (26.6% saved)

series26.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
5.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
1.0ms	z	@	0	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
1.0ms	y	@	0	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
1.0ms	y	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))

Compiler

Compiled 2152 to 1699 computations (21.1% saved)

rewrite107.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`prod-diff_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
203×	`add-sqr-sqrt_binary64`
192×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	55
1	398	45
2	5546	45

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

Inputs
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
(*.f64 692910599291889/10000000000000000 z)
(*.f64 (+.f64 6012459259764103/1000000000000000 z) z)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 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simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

574×	`unswap-sqr_binary64`
301×	`cancel-sign-sub-inv_binary64`
288×	`log-prod_binary64`
287×	`associate-r_binary64`
280×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	2626
1	1072	2506
2	4480	2494

Stop Event

1×	node limit

Counts

139 → 209

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 11167812716741/40000000000000 y)
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(*.f64 6012459259764103/1000000000000000 z)
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(pow.f64 (/.f64 1 z) -2)
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(.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 1)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))) 1)
(/.f64 (.f64 (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3)) z) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))
(/.f64 (.f64 z (+.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z (-.f64 z 6012459259764103/1000000000000000))))
(/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z))) (-.f64 6012459259764103/1000000000000000 z))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) 2)
(pow.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 z 6012459259764103/1000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (log.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) 1))

Outputs
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(fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 279195317918525/3350343815022304 y))
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eval308.0ms (3.2%)

Compiler: Compiled 10653 to 7233 computations (32.1% saved)

prune105.0ms (1.1%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	562	4	566
Fresh	2	1	3
Picked	0	1	1
Done	2	7	9
Total	566	13	579

Error

Counts

579 → 13

Alt Table

Click to see full alt table

Status	Error	Program
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▶	39.3b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
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✓	16.3b	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	14.6b	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	13.4b	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	26.1b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
▶	46.5b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
▶	43.1b	(*.f64 y 692910599291889/10000000000000000)
✓	41.5b	(*.f64 279195317918525/3350343815022304 y)
	34.1b	x

Compiler

Compiled 160 to 122 computations (23.8% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 y 692910599291889/10000000000000000)

Compiler

Compiled 8 to 6 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 y 692910599291889/10000000000000000)
1.0ms	y	@	-inf	(*.f64 y 692910599291889/10000000000000000)
1.0ms	y	@	inf	(*.f64 y 692910599291889/10000000000000000)

Compiler

Compiled 84 to 72 computations (14.3% saved)

rewrite113.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 y 692910599291889/10000000000000000)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)) (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/5000000000000000) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) (+.f64 1 (*.f64 y 692910599291889/10000000000000000))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) (+.f64 1 (*.f64 y 692910599291889/10000000000000000))) 1) (+.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))) (sqrt.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))) 2)) (cbrt.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 y 692910599291889/10000000000000000))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000))) 2))))))

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

797×	`times-frac_binary64`
444×	`distribute-rgt-out_binary64`
376×	`fma-neg_binary64`
329×	`fma-def_binary64`
317×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	238
1	196	229
2	597	225
3	3283	225

Stop Event

1×	node limit

Counts

37 → 31

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) -1)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(+.f64 (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)) (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/5000000000000000) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))
(-.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) (+.f64 1 (.f64 y 692910599291889/10000000000000000))) (+.f64 1 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) (+.f64 1 (.f64 y 692910599291889/10000000000000000))) 1) (+.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 1))
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) 1/2)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000)))) (sqrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))) 2)) (cbrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))))
(sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))
(fabs.f64 (*.f64 y 692910599291889/10000000000000000))
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y 692910599291889/10000000000000000))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000))) 2))

Outputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) -1)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)) (log.f64 (pow.f64 (exp.f64 y) 692910599291889/20000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/5000000000000000) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))
(-.f64 (+.f64 1 (*.f64 y 692910599291889/10000000000000000)) 1)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) (+.f64 1 (.f64 y 692910599291889/10000000000000000))) (+.f64 1 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 692910599291889/10000000000000000 y)) 3) -1) (fma.f64 (+.f64 1 (.f64 692910599291889/10000000000000000 y)) (+.f64 1 (.f64 692910599291889/10000000000000000 y)) (+.f64 1 (+.f64 1 (.f64 692910599291889/10000000000000000 y)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 692910599291889/10000000000000000 y 1) 3)) (fma.f64 (fma.f64 692910599291889/10000000000000000 y 1) (fma.f64 692910599291889/10000000000000000 y 1) (+.f64 (*.f64 692910599291889/10000000000000000 y) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 692910599291889/10000000000000000 y 1) 3)) (+.f64 1 (*.f64 (fma.f64 692910599291889/10000000000000000 y 1) (fma.f64 692910599291889/10000000000000000 y 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) (+.f64 1 (.f64 y 692910599291889/10000000000000000))) 1) (+.f64 (+.f64 1 (.f64 y 692910599291889/10000000000000000)) 1))
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2) 1/2)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) 1/3)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (E.f64) (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000)))) (sqrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 692910599291889/10000000000000000 y)))) (sqrt.f64 (log.f64 (.f64 692910599291889/10000000000000000 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))) 2)) (cbrt.f64 (log.f64 (.f64 y 692910599291889/10000000000000000))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 692910599291889/10000000000000000 y))) 2)) (cbrt.f64 (log.f64 (.f64 692910599291889/10000000000000000 y))))
(sqrt.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 2))
(*.f64 692910599291889/10000000000000000 y)
(fabs.f64 (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))
(*.f64 692910599291889/10000000000000000 y)
(cbrt.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)))
(*.f64 692910599291889/10000000000000000 y)
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y 692910599291889/10000000000000000))) 1/3))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000))) 3))
(*.f64 692910599291889/10000000000000000 y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000))) 2))
(*.f64 692910599291889/10000000000000000 y)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

✓

0.2b

(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)

✓

0.4b

(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series24.0ms (0.3%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	z	@	-inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms	y	@	0	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms	y	@	inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms	y	@	-inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms	z	@	0	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

Compiler

Compiled 1060 to 877 computations (17.3% saved)

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	184	21
2	2448	21

Stop Event

1×	node limit

Counts

3 → 78

Calls

Call 1

Inputs

(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)

(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) 1) (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y 692910599291889/10000000000000000) 3) (pow.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)) (+.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (-.f64 (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y 692910599291889/10000000000000000)) (*.f64 (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (-.f64 (*.f64 y 692910599291889/10000000000000000) (*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) y) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) y) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 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simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-in_binary64`
586×	`times-frac_binary64`
558×	`distribute-lft-in_binary64`
410×	`unswap-sqr_binary64`
377×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1176
1	437	1147
2	1813	1131

Stop Event

1×	node limit

Counts

114 → 105

Calls

Call 1

Inputs
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(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)))
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(*.f64 692910599291889/10000000000000000 y)
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(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
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(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
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Outputs
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(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1)
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(*.f64 1 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(*.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2) (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(*.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z)))))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (-.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3)) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(*.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 1 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 1 (/.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))) (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (-.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3)) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 1 (/.f64 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2))))
(/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (-.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3)) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (-.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3)) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (neg.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z)))))
(*.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (/.f64 1 (-.f64 (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (/.f64 520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/.f64 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (+.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3)) (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) (+.f64 480125098611044764748221188321/100000000000000000000000000000000 (/.f64 -520528897415120736269894068173010831201358937/100000000000000000000000000000000000000000000000 z))))
(/.f64 (neg.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2))) (neg.f64 (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (-.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 (-.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2)) (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 2) -480125098611044764748221188321/100000000000000000000000000000000) (-.f64 -692910599291889/10000000000000000 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))
(pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3) 1/3)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (cbrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(pow.f64 (sqrt.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(sqrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log.f64 (exp.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(cbrt.f64 (pow.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(expm1.f64 (log1p.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(log1p.f64 (expm1.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(exp.f64 (log.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 692910599291889/10000000000000000)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 z 6012459259764103/1000000000000000)
	0.6b	(*.f64 692910599291889/10000000000000000 z)
	3.4b	(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
✓	18.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))

Compiler

Compiled 88 to 59 computations (33% saved)

series19.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
5.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
2.0ms	y	@	0	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
2.0ms	y	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
2.0ms	z	@	0	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))

Compiler

Compiled 1642 to 1292 computations (21.3% saved)

rewrite132.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`fma-def_binary64`
372×	`expm1-udef_binary64`
372×	`log1p-udef_binary64`
334×	`fma-neg_binary64`
216×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	32
1	423	26
2	6001	26

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

Inputs

(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (*.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))

(*.f64 z 6012459259764103/1000000000000000)

Outputs

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11167812716741/40000000000000) (*.f64 y (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule 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307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (*.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (*.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (/.f64 1 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 1) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) 1) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 1) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 y (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (/.f64 (sqrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 y (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 (cbrt.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 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307332350656623/625000000000000) 11167812716741/40000000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 y 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11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z 6012459259764103/1000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 z z) 36149666350323105395943207394609/1000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) 6012459259764103/1000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z 6012459259764103/1000000000000000)) 1))))))

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/l*_binary64`
603×	`fma-def_binary64`
367×	`times-frac_binary64`
237×	`associate-/r*_binary64`
234×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	1998
1	720	1905
2	2706	1819

Stop Event

1×	node limit

Counts

94 → 112

Calls

Call 1

Inputs
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(pow.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 2)
(pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) y) -1)
(neg.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 2))
(log.f64 (exp.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))
(cbrt.f64 (pow.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000))) 1)
(pow.f64 (*.f64 z 6012459259764103/1000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 3)
(pow.f64 (sqrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 2)
(pow.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) 1/3)
(sqrt.f64 (.f64 (.f64 z z) 36149666350323105395943207394609/1000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 z) 6012459259764103/1000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000)))
(exp.f64 (log.f64 (*.f64 z 6012459259764103/1000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 z 6012459259764103/1000000000000000)) 1))

Outputs
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 104698244219447/31250000000000 (.f64 6012459259764103/1000000000000000 z))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 104698244219447/31250000000000 (.f64 6012459259764103/1000000000000000 z))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 104698244219447/31250000000000 (.f64 6012459259764103/1000000000000000 z))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 104698244219447/31250000000000 (.f64 6012459259764103/1000000000000000 z))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (pow.f64 z 2) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(fma.f64 279195317918525/3350343815022304 y (.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 y 279195317918525/3350343815022304 (.f64 y (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (.f64 (pow.f64 z 2) (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))
(fma.f64 279195317918525/3350343815022304 y (fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 (.f64 z z) (-.f64 (.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))))))
(fma.f64 y 279195317918525/3350343815022304 (fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 z (.f64 z (-.f64 (.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (*.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320))))))
(fma.f64 z (.f64 z (.f64 y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (.f64 31250000000000/104698244219447 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))) (.f64 (pow.f64 z 2) (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))))))
(fma.f64 -1 (.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 31250000000000/104698244219447)) (pow.f64 z 3)) (fma.f64 279195317918525/3350343815022304 y (fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 (.f64 z z) (-.f64 (.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304)))))))
(fma.f64 (neg.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)) (.f64 y -951538397708915641577429109124755859375/1147673082894964476557575335949564252827623))) (pow.f64 z 3) (fma.f64 y 279195317918525/3350343815022304 (fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 z (.f64 z (-.f64 (.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (.f64 y -937342705717422912365644116959149763360075617/188034757901510979839193143041976607183277752320)))))))
(fma.f64 (fma.f64 y -951538397708915641577429109124755859375/1147673082894964476557575335949564252827623 (.f64 6012459259764103/3350343815022304 (.f64 y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))) (neg.f64 (pow.f64 z 3)) (fma.f64 z (.f64 z (.f64 y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(-.f64 (+.f64 (.f64 307332350656623/625000000000000 (/.f64 y z)) (.f64 692910599291889/10000000000000000 y)) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (.f64 y 692910599291889/10000000000000000)) (.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) -4166096748901211929300981260567/10000000000000000000000000000000)))
(fma.f64 y 692910599291889/10000000000000000 (*.f64 (/.f64 y z) 751220861604756070699018739433/10000000000000000000000000000000))
(-.f64 (+.f64 (.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (.f64 (-.f64 (.f64 11167812716741/40000000000000 y) (+.f64 (.f64 72546523146905574025723165383/312500000000000000000000000000 y) (.f64 6012459259764103/1000000000000000 (-.f64 (.f64 307332350656623/625000000000000 y) (.f64 4166096748901211929300981260567/10000000000000000000000000000000 y))))) (pow.f64 (/.f64 1 z) 2)) (.f64 692910599291889/10000000000000000 y))) (*.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
(+.f64 (fma.f64 307332350656623/625000000000000 (/.f64 y z) (fma.f64 (-.f64 (.f64 y 11167812716741/40000000000000) (fma.f64 72546523146905574025723165383/312500000000000000000000000000 y (.f64 6012459259764103/1000000000000000 (.f64 y 751220861604756070699018739433/10000000000000000000000000000000)))) (pow.f64 (/.f64 1 z) 2) (.f64 y 692910599291889/10000000000000000))) (*.f64 -4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(log1p.f64 (expm1.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)))) 1))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000))) 1)
(*.f64 z 6012459259764103/1000000000000000)
(pow.f64 (*.f64 z 6012459259764103/1000000000000000) 1)
(*.f64 z 6012459259764103/1000000000000000)
(pow.f64 (cbrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 3)
(*.f64 z 6012459259764103/1000000000000000)
(pow.f64 (sqrt.f64 (*.f64 z 6012459259764103/1000000000000000)) 2)
(*.f64 z 6012459259764103/1000000000000000)
(pow.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000))
(sqrt.f64 (.f64 (.f64 z z) 36149666350323105395943207394609/1000000000000000000000000000000))
(sqrt.f64 (.f64 z (.f64 z 36149666350323105395943207394609/1000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 z) 6012459259764103/1000000000000000))
(*.f64 z 6012459259764103/1000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000))))
(*.f64 z 6012459259764103/1000000000000000)
(cbrt.f64 (*.f64 (pow.f64 z 3) 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 z 6012459259764103/1000000000000000)))
(*.f64 z 6012459259764103/1000000000000000)
(log1p.f64 (expm1.f64 (*.f64 z 6012459259764103/1000000000000000)))
(*.f64 z 6012459259764103/1000000000000000)
(exp.f64 (log.f64 (*.f64 z 6012459259764103/1000000000000000)))
(*.f64 z 6012459259764103/1000000000000000)
(exp.f64 (.f64 (log.f64 (.f64 z 6012459259764103/1000000000000000)) 1))
(*.f64 z 6012459259764103/1000000000000000)

localize46.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(*.f64 692910599291889/10000000000000000 z)
	3.4b	(.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z)))
✓	6.5b	(/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))
✓	18.1b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))

Compiler

Compiled 113 to 74 computations (34.5% saved)

series24.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
5.0ms	z	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
3.0ms	y	@	0	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
2.0ms	y	@	inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
2.0ms	y	@	-inf	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))

Compiler

Compiled 1742 to 1371 computations (21.3% saved)

rewrite121.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

676×	`prod-diff_binary64`
253×	`add-sqr-sqrt_binary64`
241×	`*-un-lft-identity_binary64`
241×	`pow1_binary64`
240×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	53
1	498	31
2	7112	31

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs

(/.f64 (*.f64 y (+.f64 11167812716741/40000000000000 (*.f64 (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))

(/.f64 (*.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 1 (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (*.f64 y (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 1 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 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simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-def_binary64`
799×	`times-frac_binary64`
392×	`unswap-sqr_binary64`
191×	`log-prod_binary64`
168×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	3011
1	990	2672
2	3839	2658

Stop Event

1×	node limit

Counts

126 → 177

Calls

Call 1

Inputs
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
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(log.f64 (exp.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) 3) (pow.f64 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y))))
(exp.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (+.f64 104698244219447/31250000000000 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)) y))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z))) 1)
(-.f64 (/.f64 36149666350323105395943207394609/1000000000000000000000000000000 (/.f64 (-.f64 6012459259764103/1000000000000000 z) z)) (/.f64 (*.f64 z z) (/.f64 (-.f64 6012459259764103/1000000000000000 z) z)))
(.f64 z (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 1 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (/.f64 1 (/.f64 (-.f64 6012459259764103/1000000000000000 z) z)))
(.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (*.f64 z (/.f64 1 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (-.f64 6012459259764103/1000000000000000 z)))
(.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 1)
(.f64 1 (.f64 (+.f64 z 6012459259764103/1000000000000000) z))
(.f64 (cbrt.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 2)) (cbrt.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) 2) (.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) (/.f64 1 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (sqrt.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)) (sqrt.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) (.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) (/.f64 1 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (neg.f64 z)) (/.f64 1 (neg.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 1 (-.f64 6012459259764103/1000000000000000 z)) (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))))
(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
(*.f64 (/.f64 z 1) (+.f64 z 6012459259764103/1000000000000000))
(.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) 1) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) 2) 1) (/.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)))) (-.f64 6012459259764103/1000000000000000 z)))
(.f64 (/.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) 1) (/.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)))) (-.f64 6012459259764103/1000000000000000 z)))
(.f64 (/.f64 z (pow.f64 (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z)) 2)) (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (pow.f64 (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z)) 2)) (/.f64 z (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z)) 2)) (/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) 2) (pow.f64 (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z)) 2)) (cbrt.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(.f64 (/.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) (pow.f64 (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z)) 2)) (/.f64 (sqrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)))) (cbrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 z (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))) (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))) (/.f64 z (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 1 (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))) (/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z))) (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)))) 2) (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))) (/.f64 (cbrt.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)))) (sqrt.f64 (-.f64 6012459259764103/1000000000000000 z))))
(.f64 (/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z))) (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z))) (+.f64 z 6012459259764103/1000000000000000))
(.f64 (/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z))) (-.f64 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 (pow.f64 z 3))) (+.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(pow.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)) -1)
(neg.f64 (/.f64 (.f64 z (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z))) (neg.f64 (-.f64 6012459259764103/1000000000000000 z))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 2))
(log.f64 (exp.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(exp.f64 (log.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z)) 1))

Outputs
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(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
(.f64 (/.f64 y (fma.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
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(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
(.f64 (/.f64 y (fma.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
(.f64 (/.f64 y (fma.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
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(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
(.f64 (/.f64 y (fma.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
(/.f64 (.f64 y (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) (/.f64 z (-.f64 6012459259764103/1000000000000000 z)))))
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(*.f64 (/.f64 y (fma.f64 z (/.f64 (fma.f64 z (neg.f64 z) 36149666350323105395943207394609/1000000000000000000000000000000) (-.f64 6012459259764103/1000000000000000 z)) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (pow.f64 z 2)) z) (-.f64 6012459259764103/1000000000000000 z))))
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eval276.0ms (2.9%)

Compiler: Compiled 13632 to 9761 computations (28.4% saved)

prune109.0ms (1.1%)

Pruning

14 alts after pruning (2 fresh and 12 done)

	Pruned	Kept	Total
New	582	1	583
Fresh	0	1	1
Picked	0	1	1
Done	0	11	11
Total	582	14	596

Error

Counts

596 → 14

Alt Table

Click to see full alt table

Status	Error	Program
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✓	39.3b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
✓	39.3b	(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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✓	16.3b	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	14.6b	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	13.4b	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	26.1b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
	44.5b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
✓	46.5b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
✓	43.1b	(*.f64 y 692910599291889/10000000000000000)
✓	41.5b	(*.f64 279195317918525/3350343815022304 y)
	34.1b	x

Compiler

Compiled 170 to 130 computations (23.5% saved)

regimes204.0ms (2.1%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)

Outputs

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

(fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x)

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

6 calls:

55.0ms	y
54.0ms	x
29.0ms	z
20.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
18.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Results

Error	Segments	Branch
8.1b	5	`x`
7.7b	6	`y`
0.1b	3	`z`
0.2b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.2b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.2b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 344 to 240 computations (30.2% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	3.580945102727787e-6	11896.831472352229
16.0ms	-11610532427200262.0	-112358380156267.55

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 510 to 375 computations (26.5% saved)

regimes282.0ms (2.9%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))
(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))

Outputs

(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))))

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

6 calls:

90.0ms	y
86.0ms	z
46.0ms	x
18.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
17.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Error	Segments	Branch
8.1b	5	`x`
7.7b	6	`y`
0.1b	3	`z`
0.3b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.3b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.3b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 327 to 229 computations (30% saved)

bsearch44.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.580945102727787e-6	11896.831472352229
22.0ms	-1788199.5888605423	-2.192150583786034e-12

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 634 to 483 computations (23.8% saved)

regimes263.0ms (2.7%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (+.f64 (.f64 z z) (*.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (/.f64 (.f64 (-.f64 36149666350323105395943207394609/1000000000000000000000000000000 (*.f64 z z)) z) (-.f64 6012459259764103/1000000000000000 z))))

Outputs

(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

6 calls:

58.0ms	x
55.0ms	y
49.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
39.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
34.0ms	z

Results

Error	Segments	Branch
10.1b	4	`x`
9.2b	6	`y`
0.1b	3	`z`
0.2b	3	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.2b	3	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`
0.2b	3	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 275 to 194 computations (29.5% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.580945102727787e-6	11896.831472352229
23.0ms	-1788199.5888605423	-2.192150583786034e-12

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 564 to 433 computations (23.2% saved)

regimes87.0ms (0.9%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Outputs

(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

3 calls:

43.0ms	y
30.0ms	z
12.0ms	x

Results

Error	Segments	Branch
12.3b	2	`x`
9.2b	6	`y`
0.2b	3	`z`

Compiler

Compiled 85 to 57 computations (32.9% saved)

bsearch43.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.580945102727787e-6	11896.831472352229
24.0ms	-1788199.5888605423	-2.192150583786034e-12

Results

39.0ms

304×

body

256

valid

Compiler

Compiled 488 to 376 computations (23% saved)

regimes101.0ms (1.1%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

Outputs

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

3 calls:

71.0ms	y
15.0ms	z
10.0ms	x

Results

Error	Segments	Branch
12.3b	2	`x`
9.2b	6	`y`
0.2b	3	`z`

Compiler

Compiled 65 to 44 computations (32.3% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	3.580945102727787e-6	11896.831472352229
23.0ms	-1788199.5888605423	-2.192150583786034e-12

Results

37.0ms

304×

body

256

valid

Compiler

Compiled 448 to 346 computations (22.8% saved)

regimes67.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))

Outputs
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))

Calls

3 calls:

38.0ms	y
15.0ms	z
10.0ms	x

Results

Error	Segments	Branch
12.3b	2	`x`
9.2b	6	`y`
0.4b	3	`z`

Compiler

Compiled 56 to 38 computations (32.1% saved)

bsearch49.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.580945102727787e-6	11896.831472352229
26.0ms	-1788199.5888605423	-2.192150583786034e-12

Results

45.0ms

304×

body

256

valid

Compiler

Compiled 372 to 289 computations (22.3% saved)

regimes36.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))

Outputs
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(*.f64 y 692910599291889/10000000000000000)

Calls

3 calls:

14.0ms	y
11.0ms	x
10.0ms	z

Results

Error	Segments	Branch
12.1b	3	`x`
12.3b	3	`y`
12.0b	2	`z`

Compiler

Compiled 27 to 19 computations (29.6% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	6.707721076437712e+71	4.257742986181119e+75

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 158 to 127 computations (19.6% saved)

regimes64.0ms (0.7%)

Counts

3 → 5

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)

Outputs
x
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 279195317918525/3350343815022304 y)
x

Calls

3 calls:

28.0ms	y
20.0ms	x
16.0ms	z

Results

Error	Segments	Branch
21.3b	5	`x`
22.5b	7	`y`
23.9b	5	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch76.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	1.8214712557970068e-40	1.1298144780338739e-32
20.0ms	6.053328779930922e-159	8.750202194409558e-155
15.0ms	-1.7680545036395e-288	-4.027363897125792e-290
21.0ms	-9.077671038025476e-48	-6.15375928827138e-54

Results

69.0ms

528×

body

256

valid

Compiler

Compiled 456 to 383 computations (16% saved)

regimes37.0ms (0.4%)

Accuracy

Total -38.6b remaining (-165.1%)

Threshold costs -38.6b (-165.1%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 279195317918525/3350343815022304 y)

Outputs
x
(*.f64 279195317918525/3350343815022304 y)
x

Calls

3 calls:

18.0ms	y
10.0ms	x
8.0ms	z

Results

Error	Segments	Branch
23.3b	3	`x`
24.7b	5	`y`
27.5b	3	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.8214712557970068e-40	1.1298144780338739e-32
21.0ms	-9.077671038025476e-48	-6.15375928827138e-54

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 246 to 203 computations (17.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
7×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	352
1	120	352
2	126	352
3	128	352
4	129	352

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -7200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 11500) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 4) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 4728779608739021/1125899906842624) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6530219459687219/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z 22999999999999998511282222591441359683447735492233086722316241877797437440) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) x (if (<=.f64 x -7131961289431795/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 3338960419886911/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 3984488406251311/766247770432944429179173513575154591809369561091801088) (*.f64 279195317918525/3350343815022304 y) x))))
(if (<=.f64 x -7161235833461889/210624583337114373395836055367340864637790190801098222508621955072) x (if (<=.f64 x 1915619426082361/11972621413014756705924586149611790497021399392059392) (*.f64 279195317918525/3350343815022304 y) x))
x

Outputs
(if (<=.f64 z -7200000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 11500) (fma.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y x) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/.f64 (/.f64 1 z) z) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))))) (if (<=.f64 z 4) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 4728779608739021/1125899906842624) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 4728779608739021/1125899906842624) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z (+.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)))) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -11/2) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 6530219459687219/1125899906842624) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z 22999999999999998511282222591441359683447735492233086722316241877797437440) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) x (if (<=.f64 x -7131961289431795/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (.f64 279195317918525/3350343815022304 y) (if (<=.f64 x 3338960419886911/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 3984488406251311/766247770432944429179173513575154591809369561091801088) (*.f64 279195317918525/3350343815022304 y) x))))
(if (<=.f64 x -1684996666696915/1684996666696914987166688442938726917102321526408785780068975640576) x (if (<=.f64 x -7131961289431795/10972248137587377366511872502374418540148785271864664140224003976912394763519345894330351399072725587226569450675744223489916367725489295806448207436491340599228997401420012529071180395583868049283025082524719590383187907857816337980585517000782912424520905193151019179684280147612287372121298604103041024) (.f64 y 279195317918525/3350343815022304) (if (<=.f64 x 3338960419886911/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 x 3984488406251311/766247770432944429179173513575154591809369561091801088) (*.f64 y 279195317918525/3350343815022304) x))))
(if (<=.f64 x -7161235833461889/210624583337114373395836055367340864637790190801098222508621955072) x (if (<=.f64 x 1915619426082361/11972621413014756705924586149611790497021399392059392) (*.f64 279195317918525/3350343815022304 y) x))
(if (<=.f64 x -7161235833461889/210624583337114373395836055367340864637790190801098222508621955072) x (if (<=.f64 x 1915619426082361/11972621413014756705924586149611790497021399392059392) (*.f64 y 279195317918525/3350343815022304) x))
x

Compiler

Compiled 276 to 194 computations (29.7% saved)

soundness71.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

722×	`fma-def_binary64`
722×	`fma-def_binary64`
94×	`distribute-rgt-out_binary64`
94×	`distribute-rgt-out_binary64`
88×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23
0	19	25
1	39	25
2	74	23
3	179	23
4	358	23
5	619	23
6	883	23
7	1015	23
8	1261	23
9	1679	23
10	1743	23
11	1744	23

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 341 to 251 computations (26.4% saved)

end130.0ms (1.4%)

Compiler: Compiled 249 to 167 computations (32.9% saved)