Details

analyze1.2s (2.8%)

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
37.4%	62.4%	0.1%	8
37.4%	62.4%	0.1%	9
37.4%	62.4%	0.1%	10
43.7%	56.2%	0.1%	11
43.7%	56.2%	0.1%	12
43.7%	56.2%	0.1%	13
61.7%	38.2%	0.1%	14

Compiler

Compiled 38 to 30 computations (21.1% saved)

sample46.0ms (0.1%)

Algorithm

1×

intervals

Results

33.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify299.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5236	55

prune11.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 28.7b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize49.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
27.8b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite116.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_9989`
15×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
12×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
10×	`pow1_binary64_10028`
9×	`associate-l_binary64_9908` `associate-r_binary64_9907`
8×	`associate-*l/_binary64_9910` `associate-/l/_binary64_9914`
7×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
4×	`frac-times_binary64_9977` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `add-log-exp_binary64_10006`
3×	`flip--_binary64_9942` `times-frac_binary64_9973` `flip3--_binary64_9971` `pow-prod-down_binary64_10038` `unswap-sqr_binary64_9935` `associate-/r_binary64_9911` `-commutative_binary64_9898`
2×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-*r/_binary64_9909` `associate-/r/_binary64_9913`
1×	`associate-/l*_binary64_9912` `div-inv_binary64_9964` `frac-2neg_binary64_9978` `clear-num_binary64_9966`

Counts

4 → 91

Calls

4 calls:

63.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
8.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

series608.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

374.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
125.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
72.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
37.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5375	3273

prune372.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

Compiler

Compiled 5337 to 3813 computations (28.6% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.3b	(/.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
25.1b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

rewrite144.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_9973`
110×	`add-sqr-sqrt_binary64_9989`
106×	`*-un-lft-identity_binary64_9967`
74×	`add-cube-cbrt_binary64_10002`
18×	`associate-/r*_binary64_9911`
16×	`difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`
15×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005` `associate-/r/_binary64_9913`
10×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
8×	`associate-/l*_binary64_9912` `div-inv_binary64_9964` `pow1_binary64_10028`
6×	`associate-l_binary64_9908` `associate-r_binary64_9907`
4×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-/l/_binary64_9914` `add-log-exp_binary64_10006` `associate-*r/_binary64_9909`
2×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `distribute-lft-in_binary64_9916` `pow-prod-down_binary64_10038` `distribute-rgt-in_binary64_9917` `unswap-sqr_binary64_9935` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `*-commutative_binary64_9898`
1×	`flip--_binary64_9942` `flip3--_binary64_9971` `div-sub_binary64_9972`

Counts

4 → 188

Calls

4 calls:

36.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
33.0ms	(/.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
12.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
8.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series679.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

328.0ms	(/.f64 (-.f64 x 2) (/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
219.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
94.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
38.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))

simplify289.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4955	13881
1	4955	13881

prune944.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	200	8	208

Merged error: 0.0b

Counts

208 → 8

Compiler

Compiled 12473 to 8928 computations (28.4% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.3b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
15.9b	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
16.0b	(/.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
25.1b	(/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))

rewrite628.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

2328×	`times-frac_binary64_9973`
1260×	`add-sqr-sqrt_binary64_9989`
1259×	`*-un-lft-identity_binary64_9967`
945×	`add-cube-cbrt_binary64_10002`
741×	`sqrt-prod_binary64_9983`
157×	`difference-of-squares_binary64_9936` `distribute-lft-out--_binary64_9919`
129×	`associate-/r/_binary64_9913`
66×	`flip3-+_binary64_9970` `flip-+_binary64_9941`
65×	`div-inv_binary64_9964`
56×	`sqrt-div_binary64_9984`
47×	`associate-/l*_binary64_9912`
33×	`associate-/r*_binary64_9911`
20×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
10×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001`
5×	`associate-/l/_binary64_9914` `pow1_binary64_10028`
4×	`add-log-exp_binary64_10006`
3×	`div-sub_binary64_9972` `frac-2neg_binary64_9978` `clear-num_binary64_9966`
1×	`flip--_binary64_9942` `flip3--_binary64_9971` `pow1/2_binary64_10047` `sqrt-pow1_binary64_9985` `rem-sqrt-square_binary64_9980`

Counts

4 → 1061

Calls

4 calls:

85.0ms	(/.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
32.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
20.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
14.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

series910.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

390.0ms	(/.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))) (/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z)))
342.0ms	(/.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z))
111.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
67.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify2.1s (4.8%)

Algorithm

1×	egg-herbie

Counts

1073 → 1073

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5257	156243

prune26.9s (63%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1073	0	1073
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1073	8	1081

Merged error: 0.0b

Counts

1081 → 8

Compiler

Compiled 109858 to 81011 computations (26.3% saved)

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))
0.2b	(.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816))
20.9b	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104))
27.8b	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104)) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

rewrite223.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`pow1_binary64_10028`
28×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
20×	`distribute-lft-in_binary64_9916` `distribute-rgt-in_binary64_9917` `associate-*r/_binary64_9909`
18×	`pow-prod-down_binary64_10038`
15×	`add-sqr-sqrt_binary64_9989`
12×	`add-cube-cbrt_binary64_10002` `*-un-lft-identity_binary64_9967`
11×	`prod-exp_binary64_10016` `cbrt-unprod_binary64_10000`
10×	`flip3-+_binary64_9970` `associate-/l/_binary64_9914` `flip-+_binary64_9941`
8×	`frac-times_binary64_9977` `associate--l+_binary64_9904`
6×	`flip--_binary64_9942` `times-frac_binary64_9973` `flip3--_binary64_9971` `associate-/r*_binary64_9911` `cancel-sign-sub-inv_binary64_9933`
5×	`associate-r_binary64_9907`
4×	`div-exp_binary64_10018` `cbrt-undiv_binary64_10001` `associate-l/_binary64_9910` `associate-l*_binary64_9908` `add-log-exp_binary64_10006` `pow-sqr_binary64_9940` `pow-prod-up_binary64_10037` `associate-/r/_binary64_9913`
2×	`sub-neg_binary64_9960` `associate-/l_binary64_9912` `div-inv_binary64_9964` `pow-plus_binary64_10030` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `-commutative_binary64_9898`
1×	`swap-sqr_binary64_9934` `difference-of-squares_binary64_9936` `pow2_binary64_10048` `unswap-sqr_binary64_9935`

Counts

4 → 139

Calls

4 calls:

78.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104)) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
42.0ms	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104))
32.0ms	(.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816))
32.0ms	(.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))

series893.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

700.0ms	(/.f64 (.f64 (-.f64 x 2) (+.f64 (.f64 (+.f64 (/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104)) y) x) z)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
119.0ms	(/.f64 (.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816)) (-.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104))
40.0ms	(.f64 x (-.f64 (.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))) 365803348954769802048811037809/19342813113834066795298816))
33.0ms	(.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))

simplify164.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4933	5471
1	4933	5471

prune703.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	151	8	159

Merged error: 0.0b

Counts

159 → 8

Compiler

Compiled 9259 to 6844 computations (26.1% saved)

regimes1.5s (3.6%)

Compiler: Compiled 10532 to 8080 computations (23.3% saved)

bsearch115.0ms (0.3%)

Steps

Iters	Range		Point
10	8.40851570253903e+33	1.1708861674227852e+48	7.889852647511694e+43
10	-9.021887382133055e+32	-606481694146996.9	-2.6813627361170054e+32

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	85
1	80	85

end0.0ms (0%)

sample3.5s (8.2%)

Algorithm

1×

intervals

Results

924.0ms	8000×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 2783 to 2127 computations (23.6% saved)

Details

analyze1.2s (2.8%)

sample46.0ms (0.1%)

simplify299.0ms (0.7%)

prune11.0ms (0%)

localize49.0ms (0.1%)

rewrite116.0ms (0.3%)

series608.0ms (1.4%)

simplify121.0ms (0.3%)

prune372.0ms (0.9%)

localize38.0ms (0.1%)

rewrite144.0ms (0.3%)

series679.0ms (1.6%)

simplify289.0ms (0.7%)

prune944.0ms (2.2%)

localize46.0ms (0.1%)

rewrite628.0ms (1.5%)

series910.0ms (2.1%)

simplify2.1s (4.8%)

prune26.9s (63%)

localize54.0ms (0.1%)

rewrite223.0ms (0.5%)

series893.0ms (2.1%)

simplify164.0ms (0.4%)

prune703.0ms (1.6%)

regimes1.5s (3.6%)

bsearch115.0ms (0.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (8.2%)

Profiling