Details

analyze1.2s (22.8%)

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)

sample1.2s (24.2%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 50 to 38 computations (24% saved)

preprocess57.0ms (1.1%)

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)

simplify23.0ms (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)

prune4.0ms (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

17.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	20.9b	(+.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)))
▶	17.9b	(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)

Status

Error

Program

20.9b

(+.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)))

▶

17.9b

(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)

Compiler

Compiled 129 to 93 computations (27.9% saved)

localize12.0ms (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)
✓	0.2b	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	17.3b	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

series14.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	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)
1.0ms	z	@	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)
1.0ms	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)
1.0ms	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)
1.0ms	z	@	0	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

rewrite77.0ms (1.5%)

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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simplify73.0ms (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
(+.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)))
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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)))

prune172.0ms (3.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	145	6	151
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	146	7	153

Error

0.1b

Counts

153 → 7

Alt Table

Status	Error	Program
	47.3b	(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) 3))
▶	12.1b	(fma.f64 y 692910599291889/10000000000000000 x)
	20.9b	(+.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)))
	18.0b	(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)
	18.6b	(pow.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)) 3)
	18.4b	(fma.f64 y (log.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)))) x)
	17.9b	(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Compiler

Compiled 3528 to 2472 computations (29.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 y 692910599291889/10000000000000000 x)

series19.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms	x	@	0	(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms	y	@	0	(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms	y	@	-inf	(fma.f64 y 692910599291889/10000000000000000 x)
0.0ms	y	@	inf	(fma.f64 y 692910599291889/10000000000000000 x)

rewrite41.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow1_binary64`
416×	`add-log-exp_binary64`
416×	`log1p-expm1-u_binary64`
416×	`expm1-log1p-u_binary64`
408×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	100	5
2	1106	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 y 692910599291889/10000000000000000 x)

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

Outputs

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

simplify9.0ms (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

45 → 25

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)

prune28.0ms (0.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	23	9	32

Error

0.1b

Counts

32 → 9

Alt Table

Status	Error	Program
	44.3b	(/.f64 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 3) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (.f64 (*.f64 y 692910599291889/10000000000000000) x))))
	20.9b	(+.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)))
▶	13.0b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	18.0b	(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)
	47.3b	(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) 3))
✓	12.1b	(fma.f64 y 692910599291889/10000000000000000 x)
	18.4b	(fma.f64 y (log.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)))) x)
	17.9b	(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
	37.8b	(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)

Compiler

Compiled 563 to 406 computations (27.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 y 692910599291889/10000000000000000 x)
✓	0.3b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
✓	0.6b	(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))

series14.0ms (0.3%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
2.0ms	x	@	0	(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
1.0ms	y	@	0	(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))
1.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)

rewrite46.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	183	22
2	1723	22

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs

(cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))

(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3) (pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))))

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

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

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-r_binary64`
595×	`associate-l_binary64`
408×	`fma-def_binary64`
256×	`*-commutative_binary64`
195×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	939
1	331	929
2	1050	908

Stop Event

1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 230970199763963/10000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/3) (.f64 230970199763963/10000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 53347233179004973860913465369/100000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (.f64 12321621104209493735777158263762572174697347/600000000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/3))) (+.f64 (pow.f64 x 1/3) (.f64 230970199763963/10000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))) (.f64 53347233179004973860913465369/100000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(*.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2)) 1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 2)) 1/9) x))) (+.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (pow.f64 y 1/3)) (.f64 5/81 (.f64 (/.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/3))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 7)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 7)) 1/9) (pow.f64 x 2)))))
(pow.f64 (pow.f64 x 2) 1/3)
(+.f64 (.f64 230970199763963/5000000000000000 (.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3))
(-.f64 (+.f64 (.f64 230970199763963/5000000000000000 (.f64 y (pow.f64 x 1/9))) (pow.f64 (pow.f64 x 2) 1/3)) (.f64 53347233179004973860913465369/100000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(-.f64 (+.f64 (.f64 230970199763963/5000000000000000 (.f64 y (pow.f64 x 1/9))) (+.f64 (.f64 12321621104209493735777158263762572174697347/750000000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) x)) (pow.f64 (pow.f64 x 2) 1/3))) (.f64 53347233179004973860913465369/100000000000000000000000000000000 (*.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 4)) 1/9))))
(*.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3))
(+.f64 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (.f64 2/3 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (.f64 (pow.f64 y 1/9) x))))
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (.f64 2/3 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (.f64 (pow.f64 y 1/9) x)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (*.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (pow.f64 (pow.f64 y 2) 1/3)) (+.f64 (.f64 40000000000000000/56125758542643009 (/.f64 (pow.f64 x 3) y)) (.f64 2/3 (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 1/3) (.f64 (pow.f64 y 1/9) x))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 4)) 1/3) (.f64 (pow.f64 (/.f64 1 (pow.f64 y 4)) 1/9) (pow.f64 x 2)))))
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
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 230970199763963/10000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9))))
(+.f64 (cbrt.f64 x) (.f64 (.f64 230970199763963/10000000000000000 y) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (*.f64 x x)) 1/18))))
(fma.f64 230970199763963/10000000000000000 (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) y)) (cbrt.f64 x))
(fma.f64 230970199763963/10000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (.f64 x x)) 1/18) (pow.f64 (/.f64 1 (.f64 x x)) 1/18))) (cbrt.f64 x))
(-.f64 (+.f64 (pow.f64 x 1/3) (.f64 230970199763963/10000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/9)))) (.f64 53347233179004973860913465369/100000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
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(fma.f64 y 692910599291889/10000000000000000 x)
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(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(fma.f64 692910599291889/10000000000000000 y x)
(fma.f64 y 692910599291889/10000000000000000 x)

prune142.0ms (2.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	177	11	188

Error

0.0b

Counts

188 → 11

Alt Table

Status	Error	Program
✓	13.0b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	18.0b	(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)
	47.3b	(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) 3))
✓	12.1b	(fma.f64 y 692910599291889/10000000000000000 x)
	37.8b	(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
	42.7b	(.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	18.4b	(fma.f64 y (log.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)))) x)
▶	13.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	17.9b	(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
	52.5b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y))))
	42.4b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2))

Compiler

Compiled 4308 to 3233 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series29.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
3.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)
2.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
1.0ms	y	@	inf	(cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	179	21
2	1854	21

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (pow.f64 (cbrt.f64 (cbrt.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)) 1/6) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))))))

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

757×	`associate-/l*_binary64`
688×	`fma-def_binary64`
229×	`cancel-sign-sub-inv_binary64`
221×	`associate-/r/_binary64`
191×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	2988
1	641	2878
2	2252	2632

Stop Event

1×	node limit

Counts

87 → 119

Calls

Call 1

Inputs
(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y)))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y))) (.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 68000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) x) y)))) (.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y)))))
(+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y)))
(-.f64 (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y))) (.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 68000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (.f64 10000000000000000/6236195393627001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) x) y)))) (.f64 400000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1/9)
(+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 1/9) (.f64 10000000000000000/6236195393627001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 8)) 1/9) x)))
(-.f64 (+.f64 (pow.f64 (.f64 692910599291889/10000000000000000 y) 1/9) (.f64 10000000000000000/6236195393627001 (.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 8)) 1/9) x))) (.f64 400000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 692910599291889/10000000000000000 (pow.f64 y 17)) 1/9) (pow.f64 x 2))))
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(pow.f64 x 1/9)
(+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 230970199763963/30000000000000000 (/.f64 (.f64 y (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(-.f64 (+.f64 (.f64 230970199763963/30000000000000000 (/.f64 (.f64 y (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 230970199763963/30000000000000000 (/.f64 (.f64 y (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) x)) (+.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 3) (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))))
(pow.f64 (pow.f64 x 2) 1/9)
(+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))
(-.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(-.f64 (+.f64 (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9))) (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y))) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (+.f64 (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) x) y)) (.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 3)) (pow.f64 y 3))))) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2)
(+.f64 (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2))
(-.f64 (+.f64 (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2)) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(-.f64 (+.f64 (.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 3)) (pow.f64 y 3))) (+.f64 (.f64 20000000000000000/6236195393627001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) x) y)) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2))) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -692910599291889/10000000000000000) (log.f64 (/.f64 -1 y))))) 2) (pow.f64 x 2)) (pow.f64 y 2))))
(pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9)
(+.f64 (.f64 20000000000000000/6236195393627001 (.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (*.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9))
(-.f64 (+.f64 (.f64 20000000000000000/6236195393627001 (.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9)) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 16)) 1/9) (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 112000000000000000000000000000000000000000000000000/727579404582466395603905418316916124343703643003 (.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 25)) 1/9) (pow.f64 x 3))) (+.f64 (.f64 20000000000000000/6236195393627001 (.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 7)) 1/9) x)) (pow.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 2)) 1/9))) (.f64 700000000000000000000000000000000/38890132987494625944605916254001 (*.f64 (pow.f64 (/.f64 480125098611044764748221188321/100000000000000000000000000000000 (pow.f64 y 16)) 1/9) (pow.f64 x 2))))
(pow.f64 (pow.f64 x 2) 1/9)
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(-.f64 (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9)))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(-.f64 (+.f64 (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9))) (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (+.f64 (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)) (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 3))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))

Outputs
(pow.f64 x 1/9)
(*.f64 (pow.f64 x 1/18) (pow.f64 x 1/18))
(+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))))
(+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (.f64 230970199763963/30000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (.f64 (.f64 (*.f64 230970199763963/30000000000000000 y) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)))
(-.f64 (+.f64 (pow.f64 x 1/9) (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9)))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
(+.f64 (.f64 (pow.f64 x 1/18) (pow.f64 x 1/18)) (-.f64 (.f64 230970199763963/30000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))))))
(fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 (.f64 230970199763963/30000000000000000 y) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) -53347233179004973860913465369/225000000000000000000000000000000)))
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(-.f64 (+.f64 (pow.f64 x 1/9) (+.f64 (.f64 230970199763963/30000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/9))) (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/9))))) (.f64 53347233179004973860913465369/225000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/9))))
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(+.f64 (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 230970199763963/30000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18))) (.f64 (.f64 (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)))) (.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) -53347233179004973860913465369/225000000000000000000000000000000))
(fma.f64 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 17)) 1/18))) -53347233179004973860913465369/225000000000000000000000000000000 (fma.f64 (pow.f64 x 1/18) (pow.f64 x 1/18) (fma.f64 (.f64 (.f64 230970199763963/30000000000000000 y) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 8)) 1/18) (.f64 (.f64 (.f64 209467558771561393508211690483963726969854899/20250000000000000000000000000000000000000000000000 (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 26)) 1/18)))))
(exp.f64 (*.f64 1/9 (-.f64 (log.f64 692910599291889/10000000000000000) (log.f64 (/.f64 1 y)))))
(pow.f64 (exp.f64 1/9) (-.f64 (log.f64 692910599291889/10000000000000000) (neg.f64 (log.f64 y))))
(pow.f64 (exp.f64 1/9) (+.f64 (log.f64 692910599291889/10000000000000000) (log.f64 y)))
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(-.f64 (+.f64 (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/9))) (+.f64 (pow.f64 (pow.f64 x 2) 1/9) (.f64 230970199763963/15000000000000000 (.f64 y (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/9))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (pow.f64 y 2) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/9))))
(+.f64 (fma.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18))) (+.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (.f64 230970199763963/15000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)))))) (.f64 -373430632253034817026394257583/900000000000000000000000000000000 (.f64 (.f64 y y) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18)))))
(fma.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 y 3) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18))) (fma.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18) (fma.f64 230970199763963/15000000000000000 (.f64 y (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (.f64 y y))) -373430632253034817026394257583/900000000000000000000000000000000))))
(fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 x 16)) 1/18) (.f64 y y))) -373430632253034817026394257583/900000000000000000000000000000000 (fma.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 x 7)) 1/18)) (.f64 y 230970199763963/15000000000000000) (fma.f64 (.f64 (.f64 (pow.f64 y 3) 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 x 25)) 1/18) (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)))))
(pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)
(pow.f64 (exp.f64 1/9) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(exp.f64 (*.f64 (+.f64 0 (log.f64 x)) 2/9))
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) x)))
(fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 (exp.f64 1/9) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) (exp.f64 (*.f64 (+.f64 0 (log.f64 x)) 2/9)))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (*.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (-.f64 (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) x)) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 y y) (/.f64 (*.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))))))
(+.f64 (fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (pow.f64 (exp.f64 1/9) (*.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) -373430632253034817026394257583/900000000000000000000000000000000))
(fma.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) -373430632253034817026394257583/900000000000000000000000000000000 (fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))))
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2) (+.f64 (.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) x)) (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 3) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 3))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 (pow.f64 y 2) (pow.f64 (exp.f64 (.f64 1/9 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) 2)) (pow.f64 x 2))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2) (-.f64 (fma.f64 230970199763963/15000000000000000 (/.f64 (.f64 y (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2)) x) (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (/.f64 (pow.f64 y 3) (/.f64 (pow.f64 x 3) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (/.f64 (.f64 y y) (/.f64 (*.f64 x x) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) 2))))))
(+.f64 (fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 x 3)) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))) (-.f64 (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (.f64 373430632253034817026394257583/900000000000000000000000000000000 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (pow.f64 (exp.f64 1/9) (.f64 2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))))))
(fma.f64 (.f64 (.f64 (/.f64 y x) (/.f64 y x)) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) -373430632253034817026394257583/900000000000000000000000000000000 (fma.f64 230970199763963/15000000000000000 (.f64 (/.f64 y x) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) (fma.f64 86251347729466456150440107846338005222881429/5062500000000000000000000000000000000000000000000 (.f64 (pow.f64 (/.f64 y x) 3) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9))) (exp.f64 (.f64 (+.f64 0 (log.f64 x)) 2/9)))))

prune381.0ms (7.5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	324	12	336

Error

0.0b

Counts

336 → 12

Alt Table

Status	Error	Program
✓	13.0b	(*.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	18.0b	(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)
	47.3b	(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) 3))
✓	12.1b	(fma.f64 y 692910599291889/10000000000000000 x)
	52.5b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (.f64 (pow.f64 (cbrt.f64 692910599291889/10000000000000000) 2) (cbrt.f64 (*.f64 y y))))
	13.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (.f64 (.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))))
	37.8b	(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
	42.7b	(.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	18.4b	(fma.f64 y (log.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)))) x)
✓	13.3b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))) (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2))
	17.9b	(fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
	42.4b	(.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (pow.f64 (.f64 (cbrt.f64 692910599291889/10000000000000000) (cbrt.f64 y)) 2))

Compiler

Compiled 13441 to 10432 computations (22.4% saved)

regimes1.2s (22.8%)

Accuracy

Total 0.4b remaining (86.1%)

Threshold costs 0.4b (86.1%)

Counts

106 → 2

Compiler

Compiled 1991 to 1401 computations (29.6% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Calls

1 calls:

0.0ms

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

Steps

Iters	Point		Range
2e+296	∈ [	1.308965775501618e+296	,	#hash((type . real) (value . +inf))	]

Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
10×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	98
1	63	98
2	73	98
3	79	98
4	84	98
5	87	98
6	88	98

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 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 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 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 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 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 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 199999999999999996269735544124600831556311214396411626601969674408936957665590016797685954535657091614747253940080451631455405873740898718200310579203360989977744144478804093683977925289126793169757759029691600098055170422008289289819679252263816717724865805208494558491410210602827611676900065280) (fma.f64 y (/.f64 (fma.f64 z (*.f64 (cbrt.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 2))) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x) (+.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) (+.f64 x (*.f64 y 692910599291889/10000000000000000))) (*.f64 (/.f64 y (pow.f64 z 2)) -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000)))

end219.0ms (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 387 to 292 computations (24.5% saved)

Details

analyze1.2s (22.8%)

sample1.2s (24.2%)

preprocess57.0ms (1.1%)

simplify23.0ms (0.4%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

series14.0ms (0.3%)

rewrite77.0ms (1.5%)

simplify73.0ms (1.4%)

prune172.0ms (3.4%)

localize3.0ms (0.1%)

series19.0ms (0.4%)

rewrite41.0ms (0.8%)

simplify9.0ms (0.2%)

prune28.0ms (0.6%)

localize13.0ms (0.3%)

series14.0ms (0.3%)

rewrite46.0ms (0.9%)

simplify37.0ms (0.7%)

prune142.0ms (2.8%)

localize10.0ms (0.2%)

series29.0ms (0.6%)

rewrite43.0ms (0.9%)

simplify66.0ms (1.3%)

prune381.0ms (7.5%)

regimes1.2s (22.8%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end219.0ms (4.3%)

Profiling