Details

analyze944.0ms (8.6%)

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)

sample29.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify203.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5236	55

prune4.0ms (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: 24.9b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
24.0b	(/.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))

rewrite91.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_13173`
15×	`add-exp-log_binary64_13189` `add-cbrt-cube_binary64_13187`
12×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151`
10×	`pow1_binary64_13212`
9×	`associate-r_binary64_13091` `associate-l_binary64_13092`
8×	`associate-/l/_binary64_13098` `associate-*l/_binary64_13094`
7×	`flip-+_binary64_13125` `flip3-+_binary64_13154`
4×	`prod-exp_binary64_13200` `cbrt-unprod_binary64_13184` `add-log-exp_binary64_13190` `frac-times_binary64_13161`
3×	`pow-prod-down_binary64_13222` `flip--_binary64_13126` `flip3--_binary64_13155` `times-frac_binary64_13157` `-commutative_binary64_13082` `associate-/r_binary64_13095` `unswap-sqr_binary64_13119`
2×	`cbrt-undiv_binary64_13185` `associate-*r/_binary64_13093` `associate-/r/_binary64_13097` `div-exp_binary64_13202`
1×	`frac-2neg_binary64_13162` `div-inv_binary64_13148` `clear-num_binary64_13150` `associate-/l*_binary64_13096`

Counts

4 → 91

Calls

4 calls:

43.0ms	(/.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)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
8.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

series442.0ms (4%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(/.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))
77.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
64.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x) y) x)
27.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5222	3198

prune584.0ms (5.3%)

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: 0b

Counts

104 → 8

Compiler

Compiled 12766 to 9563 computations (25.1% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.1b	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
22.2b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

rewrite87.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_13173`
18×	`add-cube-cbrt_binary64_13186` `*-un-lft-identity_binary64_13151`
12×	`add-exp-log_binary64_13189` `add-cbrt-cube_binary64_13187`
10×	`pow1_binary64_13212`
9×	`times-frac_binary64_13157` `associate-r_binary64_13091` `associate-l_binary64_13092`
6×	`associate-*r/_binary64_13093`
5×	`flip-+_binary64_13125` `flip3-+_binary64_13154`
4×	`add-log-exp_binary64_13190`
3×	`prod-exp_binary64_13200` `pow-prod-down_binary64_13222` `distribute-rgt-in_binary64_13101` `distribute-lft-in_binary64_13100` `cbrt-unprod_binary64_13184` `-commutative_binary64_13082` `associate-/r_binary64_13095` `unswap-sqr_binary64_13119` `associate-/l*_binary64_13096`
2×	`associate-/l/_binary64_13098` `associate-/r/_binary64_13097`
1×	`frac-2neg_binary64_13162` `cbrt-undiv_binary64_13185` `div-inv_binary64_13148` `clear-num_binary64_13150` `div-exp_binary64_13202`

Counts

4 → 97

Calls

4 calls:

33.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
16.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
11.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
8.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series409.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
78.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
62.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y))
26.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5070	3537

prune320.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0b

Counts

117 → 7

Compiler

Compiled 6817 to 4970 computations (27.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.4b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
15.6b	(/.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)))
15.8b	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
19.1b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

rewrite197.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`add-sqr-sqrt_binary64_13173`
108×	`times-frac_binary64_13157`
95×	`*-un-lft-identity_binary64_13151`
69×	`add-cube-cbrt_binary64_13186`
63×	`sqrt-prod_binary64_13167`
36×	`associate-l_binary64_13092`
24×	`associate-r_binary64_13091`
20×	`add-exp-log_binary64_13189` `add-cbrt-cube_binary64_13187`
13×	`distribute-lft-out--_binary64_13103` `difference-of-squares_binary64_13120`
12×	`associate-/r*_binary64_13095`
10×	`sqrt-div_binary64_13168`
9×	`unswap-sqr_binary64_13119`
8×	`associate-/r/_binary64_13097` `associate-/l*_binary64_13096`
7×	`pow1_binary64_13212`
6×	`flip-+_binary64_13125` `cbrt-undiv_binary64_13185` `flip3-+_binary64_13154` `div-exp_binary64_13202`
4×	`associate-/l/_binary64_13098` `prod-exp_binary64_13200` `cbrt-unprod_binary64_13184` `div-inv_binary64_13148` `add-log-exp_binary64_13190`
2×	`frac-2neg_binary64_13162` `clear-num_binary64_13150`
1×	`rem-sqrt-square_binary64_13164` `pow-prod-down_binary64_13222` `flip--_binary64_13126` `div-sub_binary64_13156` `flip3--_binary64_13155` `associate-r/_binary64_13093` `-commutative_binary64_13082` `associate-*l/_binary64_13094` `frac-times_binary64_13161` `sqrt-pow1_binary64_13169` `pow1/2_binary64_13231`

Counts

4 → 205

Calls

4 calls:

77.0ms	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
33.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
21.0ms	(/.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))

series762.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

353.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
286.0ms	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))
71.0ms	(/.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)))
52.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify169.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5261	14273

prune1.2s (10.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	217	7	224

Merged error: 0b

Counts

224 → 7

Compiler

Compiled 16701 to 12352 computations (26% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

15.6b	(/.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)))
15.8b	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
16.3b	(log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))
19.1b	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))))

rewrite220.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`add-sqr-sqrt_binary64_13173`
131×	`times-frac_binary64_13157`
109×	`*-un-lft-identity_binary64_13151`
83×	`add-cube-cbrt_binary64_13186`
64×	`sqrt-prod_binary64_13167`
54×	`log-prod_binary64_13237`
48×	`exp-sum_binary64_13197`
36×	`associate-l_binary64_13092`
33×	`associate-r_binary64_13091`
20×	`add-cbrt-cube_binary64_13187`
18×	`add-exp-log_binary64_13189`
15×	`associate-/r*_binary64_13095`
13×	`distribute-lft-out--_binary64_13103` `difference-of-squares_binary64_13120`
12×	`unswap-sqr_binary64_13119`
10×	`sqrt-div_binary64_13168`
8×	`pow1_binary64_13212` `associate-/r/_binary64_13097` `associate-/l*_binary64_13096`
6×	`flip-+_binary64_13125` `cbrt-undiv_binary64_13185` `log-div_binary64_13238` `flip3-+_binary64_13154` `div-exp_binary64_13202`
4×	`associate-/l/_binary64_13098` `prod-exp_binary64_13200` `cbrt-unprod_binary64_13184` `div-inv_binary64_13148` `add-log-exp_binary64_13190` `exp-diff_binary64_13199`
3×	`log-pow_binary64_13240`
2×	`frac-2neg_binary64_13162` `clear-num_binary64_13150`
1×	`pow-prod-down_binary64_13222` `flip--_binary64_13126` `div-sub_binary64_13156` `flip3--_binary64_13155` `associate-r/_binary64_13093` `rem-log-exp_binary64_13192` `-commutative_binary64_13082` `associate-*l/_binary64_13094` `frac-times_binary64_13161` `sqrt-pow1_binary64_13169` `pow1/2_binary64_13231`

Counts

4 → 233

Calls

4 calls:

83.0ms	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
36.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))))
21.0ms	(/.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)))
15.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

series2.0s (18.1%)

Counts

4 → 12

Calls

4 calls:

1.2s	(.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 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))))))
692.0ms	(/.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104)) y)) z) (exp.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))))
65.0ms	(/.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)))
59.0ms	(log.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328)))

simplify215.0ms (2%)

Algorithm

1×	egg-herbie

Counts

245 → 245

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5206	16897

prune1.5s (13.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	244	1	245
Fresh	0	4	4
Picked	0	1	1
Done	2	0	2
Total	246	6	252

Merged error: 0b

Counts

252 → 6

Compiler

Compiled 19435 to 14461 computations (25.6% saved)

regimes152.0ms (1.4%)

Compiler: Compiled 618 to 507 computations (18% saved)

bsearch53.0ms (0.5%)

Steps

Iters	Range		Point
7	8.660890269051568e+43	1.6040418002944468e+45	1.4107245152510826e+45
7	-3.9585879384254334e+39	-9.390815038994031e+37	-6.551513361631769e+38

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	81	85
1	81	85

end0.0ms (0%)

sample1.1s (10%)

Algorithm

1×

intervals

Results

645.0ms	8000×	body	128	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 374 to 289 computations (22.7% saved)

Details

analyze944.0ms (8.6%)

sample29.0ms (0.3%)

simplify203.0ms (1.8%)

prune4.0ms (0%)

localize25.0ms (0.2%)

rewrite91.0ms (0.8%)

series442.0ms (4%)

simplify86.0ms (0.8%)

prune584.0ms (5.3%)

localize25.0ms (0.2%)

rewrite87.0ms (0.8%)

series409.0ms (3.7%)

simplify99.0ms (0.9%)

prune320.0ms (2.9%)

localize31.0ms (0.3%)

rewrite197.0ms (1.8%)

series762.0ms (6.9%)

simplify169.0ms (1.5%)

prune1.2s (10.9%)

localize34.0ms (0.3%)

rewrite220.0ms (2%)

series2.0s (18.1%)

simplify215.0ms (2%)

prune1.5s (13.9%)

regimes152.0ms (1.4%)

bsearch53.0ms (0.5%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.1s (10%)

Profiling