Details

analyze958.0ms (10.1%)

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)

simplify209.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

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: 26.4b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
25.6b	(/.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))

rewrite83.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_14081`
15×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
12×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
10×	`pow1_binary64_14120`
9×	`associate-r_binary64_13999` `associate-l_binary64_14000`
8×	`associate-*l/_binary64_14002` `associate-/l/_binary64_14006`
7×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
4×	`frac-times_binary64_14069` `add-log-exp_binary64_14098` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092`
3×	`flip--_binary64_14034` `-commutative_binary64_13990` `times-frac_binary64_14065` `associate-/r_binary64_14003` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `flip3--_binary64_14063`
2×	`div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `associate-*r/_binary64_14001` `associate-/r/_binary64_14005`
1×	`frac-2neg_binary64_14070` `div-inv_binary64_14056` `clear-num_binary64_14058` `associate-/l*_binary64_14004`

Counts

4 → 91

Calls

4 calls:

38.0ms	(/.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))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
8.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

series419.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

280.0ms	(/.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))
80.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
33.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
26.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5454	3045

prune309.0ms (3.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	9	104

Merged error: 0b

Counts

104 → 9

Compiler

Compiled 5254 to 3763 computations (28.4% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.1b	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
0.1b	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
24.1b	(/.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))

rewrite77.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_14081`
18×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
12×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
10×	`pow1_binary64_14120`
9×	`associate-r_binary64_13999` `times-frac_binary64_14065` `associate-l_binary64_14000`
6×	`associate-*r/_binary64_14001`
5×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
4×	`add-log-exp_binary64_14098`
3×	`distribute-rgt-in_binary64_14009` `prod-exp_binary64_14108` `distribute-lft-in_binary64_14008` `cbrt-unprod_binary64_14092` `-commutative_binary64_13990` `associate-/r_binary64_14003` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130` `associate-/l*_binary64_14004`
2×	`associate-/l/_binary64_14006` `associate-/r/_binary64_14005`
1×	`frac-2neg_binary64_14070` `div-exp_binary64_14110` `div-inv_binary64_14056` `clear-num_binary64_14058` `cbrt-undiv_binary64_14093`

Counts

4 → 97

Calls

4 calls:

32.0ms	(/.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))
12.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
12.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
8.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

series383.0ms (4%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(/.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))
73.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
33.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
28.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4960	3372
1	4960	3372

prune256.0ms (2.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	110	8	118

Merged error: 0b

Counts

118 → 8

Compiler

Compiled 5493 to 3943 computations (28.2% saved)

localize25.0ms (0.3%)

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 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
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)))
24.2b	(/.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))

rewrite131.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_14065`
110×	`add-sqr-sqrt_binary64_14081`
106×	`*-un-lft-identity_binary64_14059`
74×	`add-cube-cbrt_binary64_14094`
18×	`associate-/r*_binary64_14003`
16×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
15×	`add-cbrt-cube_binary64_14095` `associate-/r/_binary64_14005` `add-exp-log_binary64_14097`
10×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
8×	`div-inv_binary64_14056` `pow1_binary64_14120` `associate-/l*_binary64_14004`
6×	`associate-r_binary64_13999` `associate-l_binary64_14000`
4×	`add-log-exp_binary64_14098` `div-exp_binary64_14110` `associate-/l/_binary64_14006` `cbrt-undiv_binary64_14093` `associate-*r/_binary64_14001`
2×	`frac-2neg_binary64_14070` `distribute-rgt-in_binary64_14009` `prod-exp_binary64_14108` `distribute-lft-in_binary64_14008` `cbrt-unprod_binary64_14092` `*-commutative_binary64_13990` `clear-num_binary64_14058` `unswap-sqr_binary64_14027` `pow-prod-down_binary64_14130`
1×	`flip--_binary64_14034` `div-sub_binary64_14064` `flip3--_binary64_14063`

Counts

4 → 188

Calls

4 calls:

41.0ms	(/.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)))
33.0ms	(/.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))
12.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))
12.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))

series509.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

289.0ms	(/.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)))
163.0ms	(/.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))
29.0ms	(.f64 x (+.f64 (.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104))
28.0ms	(.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)) 604816789577447/4398046511104))

simplify180.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5153	13965

prune827.0ms (8.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Merged error: 0b

Counts

208 → 8

Compiler

Compiled 12365 to 8848 computations (28.4% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.9b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))
16.9b	(/.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)))
17.1b	(.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))))
20.9b	(/.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)))

rewrite188.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

126×	`add-sqr-sqrt_binary64_14081`
108×	`times-frac_binary64_14065`
95×	`*-un-lft-identity_binary64_14059`
69×	`add-cube-cbrt_binary64_14094`
63×	`sqrt-prod_binary64_14075`
36×	`associate-l_binary64_14000`
24×	`associate-r_binary64_13999`
20×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
13×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
12×	`associate-/r*_binary64_14003`
10×	`sqrt-div_binary64_14076`
9×	`unswap-sqr_binary64_14027`
8×	`associate-/r/_binary64_14005` `associate-/l*_binary64_14004`
7×	`pow1_binary64_14120`
6×	`flip-+_binary64_14033` `div-exp_binary64_14110` `cbrt-undiv_binary64_14093` `flip3-+_binary64_14062`
4×	`add-log-exp_binary64_14098` `prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `associate-/l/_binary64_14006` `div-inv_binary64_14056`
2×	`frac-2neg_binary64_14070` `clear-num_binary64_14058`
1×	`frac-times_binary64_14069` `rem-sqrt-square_binary64_14072` `flip--_binary64_14034` `associate-l/_binary64_14002` `pow1/2_binary64_14139` `div-sub_binary64_14064` `-commutative_binary64_13990` `associate-*r/_binary64_14001` `pow-prod-down_binary64_14130` `sqrt-pow1_binary64_14077` `flip3--_binary64_14063`

Counts

4 → 205

Calls

4 calls:

70.0ms	(.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)))
26.0ms	(/.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))

series760.0ms (8%)

Counts

4 → 12

Calls

4 calls:

354.0ms	(/.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)))
283.0ms	(.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))))
72.0ms	(/.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)))
50.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x (+.f64 x 6099563062176297/140737488355328)) 1158907574534893/4398046511104)) 172293041005667/549755813888)) 6624073998258585/140737488355328))

simplify164.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5261	14273

prune1.3s (13.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	217	8	225

Merged error: 0b

Counts

225 → 8

Compiler

Compiled 15917 to 11729 computations (26.3% saved)

regimes557.0ms (5.9%)

Compiler: Compiled 5464 to 4224 computations (22.7% saved)

bsearch67.0ms (0.7%)

Steps

Iters	Range		Point
7	1.8322858992020633e+26	4.664726537431054e+27	4.6192711100365586e+27
10	-1.0644709299588707e+20	-79557492.22385809	-1.0499667709890827e+20

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	83	90
1	83	90

end0.0ms (0%)

sample1.8s (18.9%)

Algorithm

1×

intervals

Results

636.0ms	8000×	body	128	valid
1.0ms	9×	body	128	invalid

Compiler

Compiled 1519 to 1166 computations (23.2% saved)

Details

analyze958.0ms (10.1%)

sample29.0ms (0.3%)

simplify209.0ms (2.2%)

prune4.0ms (0%)

localize32.0ms (0.3%)

rewrite83.0ms (0.9%)

series419.0ms (4.4%)

simplify89.0ms (0.9%)

prune309.0ms (3.2%)

localize28.0ms (0.3%)

rewrite77.0ms (0.8%)

series383.0ms (4%)

simplify98.0ms (1%)

prune256.0ms (2.7%)

localize25.0ms (0.3%)

rewrite131.0ms (1.4%)

series509.0ms (5.4%)

simplify180.0ms (1.9%)

prune827.0ms (8.7%)

localize32.0ms (0.3%)

rewrite188.0ms (2%)

series760.0ms (8%)

simplify164.0ms (1.7%)

prune1.3s (13.6%)

regimes557.0ms (5.9%)

bsearch67.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.8s (18.9%)

Profiling