Details

analyze2.2s (21.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
25.7%	74.1%	0.1%	10
30%	69.8%	0.1%	11
34.1%	65.7%	0.1%	12
53.9%	45.9%	0.1%	13
57.8%	42.1%	0.1%	14

Compiler

Compiled 25 to 19 computations (24% saved)

sample2.4s (23%)

Results

2.4s

8256×

body

128

valid

Compiler

Compiled 50 to 38 computations (24% saved)

preprocess142.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	100
1	109	100
2	233	92
3	599	92
4	1224	92
5	2221	92
6	2611	92
7	3018	92
8	3530	92
9	4245	92
10	4268	92
0	3	3

Stop Event

1×	saturated
1×	node limit

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 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(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 24 to 18 computations (25% saved)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	25
1	39	25
2	74	23
3	175	23
4	349	23
5	607	23
6	878	23
7	1010	23
8	1256	23
9	1671	23
10	1735	23
11	1736	23

Stop Event

1×

saturated

Counts

1 → 2

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 (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)

prune11.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

17.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.4b	(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)
	22.5b	(+.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)))

Status

Error

Program

▶

17.4b

(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)

22.5b

(+.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)))

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize17.0ms (0.2%)

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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
✓	0.3b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	16.8b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series161.0ms (1.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
28.0ms	y	@	-inf	(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)
24.0ms	y	@	0	(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)
24.0ms	x	@	inf	(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)
23.0ms	x	@	0	(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)
22.0ms	y	@	inf	(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)

rewrite143.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

285×	`expm1-udef_binary64`
285×	`log1p-udef_binary64`
161×	`add-sqr-sqrt_binary64`
159×	`prod-diff_binary64`
152×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	323	56
2	3879	56

Stop Event

1×	node limit

Counts

4 → 102

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

Outputs
((#(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))) (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)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (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)) 2)) (cbrt.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 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simplify152.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

611×	`cancel-sign-sub-inv_binary64`
508×	`associate-l_binary64`
322×	`fma-neg_binary64`
300×	`fma-def_binary64`
183×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1961
1	280	1748
2	767	1567
3	2287	1270

Stop Event

1×	node limit

Counts

174 → 151

Calls

Call 1

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

Outputs
279195317918525/3350343815022304
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(fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 279195317918525/3350343815022304)
(-.f64 (+.f64 279195317918525/3350343815022304 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) (.f64 155900051080628738716045985239/56124018394291031809500087342080 z))
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(fma.f64 z -155900051080628738716045985239/56124018394291031809500087342080 (fma.f64 z (*.f64 z 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320) 279195317918525/3350343815022304))
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692910599291889/10000000000000000
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692910599291889/10000000000000000
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307332350656623/625000000000000
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(*.f64 z 692910599291889/10000000000000000)
(+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z))
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(fma.f64 307332350656623/625000000000000 (.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))) z) (fma.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))) (fma.f64 692910599291889/10000000000000000 (/.f64 (.f64 z (.f64 z y)) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))) x)))
(fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 307332350656623/625000000000000 (.f64 z (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 692910599291889/10000000000000000 (/.f64 z (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (.f64 z y))) x)))
(+.f64 x (fma.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))))
11167812716741/40000000000000
(+.f64 11167812716741/40000000000000 (*.f64 307332350656623/625000000000000 z))
(+.f64 11167812716741/40000000000000 (*.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 11167812716741/40000000000000)
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 692910599291889/10000000000000000)
(.f64 z (.f64 z 692910599291889/10000000000000000))
(+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z))
(fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000)))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(*.f64 692910599291889/10000000000000000 (pow.f64 z 2))
(.f64 (.f64 z z) 692910599291889/10000000000000000)
(.f64 z (.f64 z 692910599291889/10000000000000000))
(+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z))
(fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000))
(fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000)))
(*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (+.f64 (.f64 692910599291889/10000000000000000 (pow.f64 z 2)) (.f64 307332350656623/625000000000000 z)))
(+.f64 11167812716741/40000000000000 (fma.f64 692910599291889/10000000000000000 (.f64 z z) (.f64 z 307332350656623/625000000000000)))
(+.f64 11167812716741/40000000000000 (fma.f64 z 307332350656623/625000000000000 (.f64 z (.f64 z 692910599291889/10000000000000000))))
(+.f64 11167812716741/40000000000000 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)))

prune520.0ms (4.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	7	151
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Error

0.1b

Counts

153 → 8

Alt Table

Status	Error	Program
	39.4b	(*.f64 (cbrt.f64 (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)) (cbrt.f64 (pow.f64 (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) 2)))
	17.4b	(fma.f64 y (pow.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))) 2) x)
	12.4b	(fma.f64 y 692910599291889/10000000000000000 x)
	22.4b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
▶	12.4b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	17.5b	(fma.f64 y (pow.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) 1/3) x)
	43.9b	(pow.f64 (sqrt.f64 (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)) 2)
	22.5b	(+.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)))

Compiler

Compiled 3630 to 2548 computations (29.8% saved)

localize6.0ms (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)

series7.0ms (0.1%)

Counts

2 → 6

Calls

9 calls:

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

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

687×	`pow1_binary64`
642×	`add-log-exp_binary64`
642×	`log1p-expm1-u_binary64`
642×	`expm1-log1p-u_binary64`
68×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1728	9

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.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 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.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 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 expm1.f64 (log1p.f64 (.f64 692910599291889/10000000000000000 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.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 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (/.f64 1 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.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 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.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 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 692910599291889/10000000000000000 (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.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 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x (-.f64 x (.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x))) (neg.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.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 log.f64 (+.f64 1 (expm1.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 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)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 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 expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.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 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.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 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.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 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 692910599291889/10000000000000000 (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.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 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.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 log.f64 (+.f64 1 (expm1.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 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)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	6	15

Stop Event

1×

saturated

Counts

54 → 50

Calls

Call 1

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

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

prune126.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	47	11	58

Error

0.0b

Counts

58 → 11

Alt Table

Status	Error	Program
	35.7b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x))))
	17.4b	(fma.f64 y (pow.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))) 2) x)
	29.5b	(+.f64 (cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) x)
✓	12.4b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	43.9b	(pow.f64 (sqrt.f64 (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)) 2)
▶	12.7b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
	35.6b	(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	22.4b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
	17.5b	(fma.f64 y (pow.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) 1/3) x)
	38.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
	22.5b	(+.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)))

Compiler

Compiled 959 to 669 computations (30.2% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
	0.5b	(*.f64 692910599291889/10000000000000000 y)
✓	0.6b	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)

series225.0ms (2.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
61.0ms	y	@	-inf	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)
41.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
20.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
18.0ms	y	@	-inf	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
18.0ms	x	@	0	(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

808×	`log1p-expm1-u_binary64`
808×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
84×	`add-log-exp_binary64`
83×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	199	15
2	2252	15

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3)
(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 3) x)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))) (#(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 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))) (#(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 692910599291889/10000000000000000 y)) (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2) 3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3) (pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 1) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 692910599291889/10000000000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.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 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 exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 692910599291889/10000000000000000 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (cbrt.f64 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3) (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 692910599291889/10000000000000000 y)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (-.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 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (/.f64 1 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (/.f64 1 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))) (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 y (*.f64 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 x 3))) (neg.f64 (+.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 692910599291889/10000000000000000 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 692910599291889/10000000000000000 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))) (-.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 log.f64 (+.f64 1 (expm1.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 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 exp.f64 (*.f64 (log.f64 (fma.f64 692910599291889/10000000000000000 y x)) 1))))) (#(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 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 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 (*.f64 692910599291889/10000000000000000 y)) 2) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) x)))) (#(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 (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)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 692910599291889/10000000000000000 y x)))))))

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	105
1	9	105
2	10	105

Stop Event

1×

saturated

Counts

116 → 94

Calls

Call 1

Inputs
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 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)

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

prune209.0ms (2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	105	12	117

Error

0.0b

Counts

117 → 12

Alt Table

Status	Error	Program
▶	12.6b	(+.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))) x)
	35.7b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x))))
	17.4b	(fma.f64 y (pow.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))) 2) x)
	12.7b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) x)
	22.5b	(+.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)))
	35.6b	(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (-.f64 (.f64 692910599291889/10000000000000000 y) x))
	22.4b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
✓	12.4b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	17.5b	(fma.f64 y (pow.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) 1/3) x)
	38.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) x)
	43.9b	(pow.f64 (sqrt.f64 (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)) 2)
	12.7b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 3) x)

Compiler

Compiled 1688 to 1237 computations (26.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
	0.6b	(cbrt.f64 (*.f64 692910599291889/10000000000000000 y))
✓	0.6b	(cbrt.f64 y)
✓	1.0b	(cbrt.f64 692910599291889/10000000000000000)

series87.0ms (0.8%)

Counts

3 → 0

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
22.0ms	y	@	-inf	(cbrt.f64 y)
12.0ms	y	@	inf	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
11.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)
2.0ms	y	@	inf	(cbrt.f64 y)

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
622×	`add-log-exp_binary64`
622×	`log1p-expm1-u_binary64`
622×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	177	15
2	1799	15

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs
(cbrt.f64 692910599291889/10000000000000000)
(cbrt.f64 y)
(pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 692910599291889/10000000000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 (cbrt.f64 480125098611044764748221188321/100000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 480125098611044764748221188321/100000000000000000000000000000000)) (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 692910599291889/10000000000000000 1/6) (pow.f64 692910599291889/10000000000000000 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 692910599291889/10000000000000000 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 692910599291889/10000000000000000 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 480125098611044764748221188321/100000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 692910599291889/10000000000000000)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 y) 2) 1/3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 y) 1/3) (pow.f64 (sqrt.f64 y) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 692910599291889/10000000000000000) (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (*.f64 (pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/6) (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (cbrt.f64 692910599291889/10000000000000000)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2)))))))

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

55 → 55

Calls

Call 1

Inputs

Outputs

prune199.0ms (1.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	76	3	79
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	78	13	91

Error

0.0b

Counts

91 → 13

Alt Table

Status	Error	Program
✓	12.6b	(+.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))) x)
	35.7b	(/.f64 1 (/.f64 (-.f64 (.f64 692910599291889/10000000000000000 y) x) (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x))))
	17.4b	(fma.f64 y (pow.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))) 2) x)
	12.7b	(+.f64 (.f64 (.f64 692910599291889/10000000000000000 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y)) x)
	22.5b	(+.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)))
	12.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 692910599291889/10000000000000000)) 3) (.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))) x)
	22.4b	(+.f64 (.f64 307332350656623/625000000000000 (/.f64 (.f64 y z) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) (+.f64 (.f64 692910599291889/10000000000000000 (/.f64 (.f64 y (pow.f64 z 2)) (+.f64 104698244219447/31250000000000 (+.f64 (pow.f64 z 2) (.f64 6012459259764103/1000000000000000 z))))) x)))
✓	12.4b	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
	17.5b	(fma.f64 y (pow.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) 1/3) x)
	43.9b	(pow.f64 (sqrt.f64 (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)) 2)
	12.7b	(+.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 3) (pow.f64 (cbrt.f64 (*.f64 692910599291889/10000000000000000 y)) 2))) x)
	12.7b	(+.f64 (pow.f64 (*.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 3) x)
	24.5b	(+.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (.f64 (cbrt.f64 y) (cbrt.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))))) x)

Compiler

Compiled 1686 to 1272 computations (24.6% saved)

regimes3.0s (28.7%)

Accuracy

Total 0.5b remaining (90%)

Threshold costs 0.5b (90%)

Counts

145 → 3

Compiler

Compiled 13753 to 10313 computations (25% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Calls

2 calls:

31.0ms	z
0.0ms	z

Steps

Iters	Point		Range
8.2e-5	∈ [	8.125119156977838e-5	,	8.325684944569751e-5	]
-105000.0	∈ [	-12122554.355694635	,	-103728.29138102726	]

Compiler

Compiled 4 to 3 computations (25% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
18×	`*-commutative_binary64`
13×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	95
1	72	95
2	96	95
3	130	95
4	147	95
5	157	95
6	160	95

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 z -105000) (fma.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) x) (if (<=.f64 z 6050532056176733/73786976294838206464) (fma.f64 y (-.f64 (+.f64 279195317918525/3350343815022304 (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) (+.f64 (*.f64 155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))) x) (-.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (*.f64 692910599291889/10000000000000000 y) x)) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))

Outputs
(if (<=.f64 z -105000) (fma.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) x) (if (<=.f64 z 6050532056176733/73786976294838206464) (fma.f64 y (-.f64 (+.f64 279195317918525/3350343815022304 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))) (+.f64 (.f64 155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))) x) (-.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 692910599291889/10000000000000000 y) x)) (.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(if (<=.f64 z -105000) (fma.f64 y (+.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2)))) x) (if (<=.f64 z 6050532056176733/73786976294838206464) (fma.f64 y (-.f64 (+.f64 279195317918525/3350343815022304 (.f64 (pow.f64 z 2) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (+.f64 (.f64 z 155900051080628738716045985239/56124018394291031809500087342080) (.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))) x) (+.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 x (.f64 y 692910599291889/10000000000000000))) (.f64 -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(if (<=.f64 z -105000) (fma.f64 y (+.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 (/.f64 1 (pow.f64 z 2)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)) x) (if (<=.f64 z 6050532056176733/73786976294838206464) (fma.f64 y (-.f64 (+.f64 279195317918525/3350343815022304 (.f64 (pow.f64 z 2) 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)) (+.f64 (.f64 z 155900051080628738716045985239/56124018394291031809500087342080) (.f64 374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))) x) (+.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 x (.f64 y 692910599291889/10000000000000000))) (.f64 (/.f64 y (pow.f64 z 2)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000))))
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end395.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 410 to 313 computations (23.7% saved)

Details

analyze2.2s (21.2%)

sample2.4s (23%)

preprocess142.0ms (1.4%)

simplify41.0ms (0.4%)

prune11.0ms (0.1%)

localize17.0ms (0.2%)

series161.0ms (1.5%)

rewrite143.0ms (1.4%)

simplify152.0ms (1.4%)

prune520.0ms (4.9%)

localize6.0ms (0.1%)

series7.0ms (0.1%)

rewrite81.0ms (0.8%)

simplify14.0ms (0.1%)

prune126.0ms (1.2%)

localize31.0ms (0.3%)

series225.0ms (2.1%)

rewrite110.0ms (1%)

simplify16.0ms (0.2%)

prune209.0ms (2%)

localize20.0ms (0.2%)

series87.0ms (0.8%)

rewrite83.0ms (0.8%)

simplify14.0ms (0.1%)

prune199.0ms (1.9%)

regimes3.0s (28.7%)

bsearch33.0ms (0.3%)

simplify13.0ms (0.1%)

end395.0ms (3.8%)

Profiling