Details

analyze1.1s (4.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5008	220
0	3	3
1	3	3

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)

sample32.0ms (0.1%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 75 to 62 computations (17.3% saved)

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

Error

26.5b

Counts

2 → 1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
0.1b	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)
25.5b	(/.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))

rewrite332.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

22.6b

Rules

18×	`add-sqr-sqrt_binary64_15104`
15×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
12×	`add-cube-cbrt_binary64_15117` `*-un-lft-identity_binary64_15082`
10×	`pow1_binary64_15143`
9×	`associate-l_binary64_15023` `associate-r_binary64_15022`
8×	`associate-/l/_binary64_15029` `associate-*l/_binary64_15025`
7×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
4×	`prod-exp_binary64_15131` `add-log-exp_binary64_15121` `cbrt-unprod_binary64_15115` `frac-times_binary64_15092`
3×	`times-frac_binary64_15088` `flip3--_binary64_15086` `flip--_binary64_15057` `associate-/r_binary64_15026` `pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `-commutative_binary64_15013`
2×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116` `associate-*r/_binary64_15024` `associate-/r/_binary64_15028`
1×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `associate-/l*_binary64_15027`

Counts

4 → 91

Calls

4 calls:

32.0ms	(/.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))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
10.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
7.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

Compiler

Compiled 4862 to 3465 computations (28.7% saved)

series1.6s (6.3%)

Error

1.4b

Counts

4 → 48

Calls

4 calls:

1.3s	(/.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))
108.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x) 604816789577447/4398046511104) x)
92.0ms	(.f64 (+.f64 (.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x)
60.0ms	(.f64 (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664) x)

Compiler

Compiled 6857 to 5485 computations (20% saved)

simplify106.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4996	5258
1	4996	5258

prune363.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	7	140

Error

0.0b

Counts

140 → 7

Compiler

Compiled 7166 to 5115 computations (28.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))
0.1b	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
0.3b	(/.f64 (-.f64 x 2) (/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))))
22.0b	(/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))))

rewrite849.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_15088`
110×	`add-sqr-sqrt_binary64_15104`
106×	`*-un-lft-identity_binary64_15082`
74×	`add-cube-cbrt_binary64_15117`
18×	`associate-/r*_binary64_15026`
16×	`difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
15×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118` `associate-/r/_binary64_15028`
10×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
8×	`pow1_binary64_15143` `div-inv_binary64_15079` `associate-/l*_binary64_15027`
6×	`associate-l_binary64_15023` `associate-r_binary64_15022`
4×	`div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `associate-/l/_binary64_15029` `associate-*r/_binary64_15024`
2×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `pow-prod-down_binary64_15153` `prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `unswap-sqr_binary64_15050` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `*-commutative_binary64_15013`
1×	`div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057`

Counts

4 → 188

Calls

4 calls:

12.0ms	(/.f64 (-.f64 x 2) (/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))))
7.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))
7.0ms	(/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))))
6.0ms	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))

Compiler

Compiled 12431 to 8911 computations (28.3% saved)

series3.3s (12.7%)

Error

Counts

4 → 67

Calls

4 calls:

1.6s	(/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))))))))
1.2s	(/.f64 (-.f64 x 2) (/.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (*.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))))
99.0ms	(.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))
58.0ms	(.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664))

Compiler

Compiled 16056 to 12652 computations (21.2% saved)

simplify223.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5290	22351

prune1.6s (6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	254	8	262

Error

Counts

262 → 8

Compiler

Compiled 18598 to 12973 computations (30.2% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))
0.1b	(/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))
0.3b	(/.f64 (-.f64 x 2) (.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))))
22.1b	(.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624))))))))))

rewrite507.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_15104`
34×	`add-exp-log_binary64_15120`
29×	`*-un-lft-identity_binary64_15082`
25×	`times-frac_binary64_15088`
24×	`add-cube-cbrt_binary64_15117`
22×	`add-cbrt-cube_binary64_15118`
18×	`associate-r_binary64_15022`
11×	`div-exp_binary64_15133`
10×	`associate-/r/_binary64_15028`
9×	`pow1_binary64_15143` `prod-exp_binary64_15131`
8×	`associate-/l*_binary64_15027`
7×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
6×	`cbrt-undiv_binary64_15116` `associate-l_binary64_15023`
5×	`cbrt-unprod_binary64_15115`
4×	`add-log-exp_binary64_15121` `frac-times_binary64_15092` `unswap-sqr_binary64_15050` `associate-l/_binary64_15025` `associate-r/_binary64_15024` `associate-/r*_binary64_15026`
3×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `div-inv_binary64_15079`
2×	`pow-prod-down_binary64_15153` `un-div-inv_binary64_15080` `*-commutative_binary64_15013` `frac-2neg_binary64_15093` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034` `clear-num_binary64_15081` `associate-/l/_binary64_15029`
1×	`div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057` `inv-pow_binary64_15167` `pow-flip_binary64_15156` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031`

Counts

4 → 135

Calls

4 calls:

13.0ms	(.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624))))))))))
13.0ms	(/.f64 (-.f64 x 2) (.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))))
6.0ms	(.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))
5.0ms	(/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))

Compiler

Compiled 7835 to 5708 computations (27.1% saved)

series3.8s (14.5%)

Error

Counts

4 → 81

Calls

4 calls:

1.6s	(.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624))))))))))
1.2s	(/.f64 (-.f64 x 2) (.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))) (/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))))
439.0ms	(/.f64 1 (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))))))))
56.0ms	(.f64 x (+.f64 5537984448691291/70368744177664 (.f64 x 4688685437421479/1125899906842624)))

Compiler

Compiled 19556 to 15405 computations (21.2% saved)

simplify192.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

216 → 216

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5213	16658

prune1.1s (4.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	216	8	224

Error

Counts

224 → 8

Compiler

Compiled 15235 to 10531 computations (30.9% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.3b	(sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
7.3b	(sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
13.7b	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328)))))))))
19.0b	(/.f64 (.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328)))

rewrite672.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_15104`
43×	`*-un-lft-identity_binary64_15082`
36×	`times-frac_binary64_15088`
30×	`sqrt-prod_binary64_15098`
29×	`add-cube-cbrt_binary64_15117`
15×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
12×	`associate-/r*_binary64_15026`
8×	`sqrt-div_binary64_15099`
7×	`associate-/l/_binary64_15029` `difference-of-squares_binary64_15051` `distribute-lft-out--_binary64_15034`
6×	`pow1_binary64_15143` `flip3-+_binary64_15085` `flip-+_binary64_15056` `associate-/l*_binary64_15027`
5×	`div-exp_binary64_15133` `cbrt-undiv_binary64_15116`
4×	`add-log-exp_binary64_15121` `associate-/r/_binary64_15028`
2×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `frac-times_binary64_15092` `associate-*r/_binary64_15024` `pow1/2_binary64_15162` `sqrt-pow1_binary64_15100` `rem-sqrt-square_binary64_15095`
1×	`associate-*l/_binary64_15025` `div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057`

Counts

4 → 124

Calls

4 calls:

26.0ms	(/.f64 (.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328)))
12.0ms	(sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))
8.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328)))))))))
3.0ms	(sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))

Compiler

Compiled 9670 to 7163 computations (25.9% saved)

series2.5s (9.5%)

Error

Counts

4 → 60

Calls

4 calls:

2.0s	(/.f64 (.f64 (/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (.f64 x (+.f64 x 6099563062176297/140737488355328))))))))) (+.f64 z (.f64 x (+.f64 y (.f64 x (+.f64 604816789577447/4398046511104 (.f64 x (+.f64 (.f64 x 4688685437421479/1125899906842624) 5537984448691291/70368744177664)))))))) (sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328)))
85.0ms	(/.f64 (-.f64 x 2) (sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328)))))))))
68.0ms	(sqrt.f64 (+.f64 6624073998258585/140737488355328 (.f64 x (+.f64 172293041005667/549755813888 (.f64 x (+.f64 1158907574534893/4398046511104 (*.f64 x (+.f64 x 6099563062176297/140737488355328))))))))
67.0ms	(sqrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 x 6099563062176297/140737488355328) x) 1158907574534893/4398046511104) x) 172293041005667/549755813888) x) 6624073998258585/140737488355328))

Compiler

Compiled 12524 to 10186 computations (18.7% saved)

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5002	10889

prune912.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	184	8	192

Error

Counts

192 → 8

Compiler

Compiled 12803 to 9343 computations (27% saved)

regimes2.3s (8.7%)

Accuracy

Total 0.5b remaining (97.6%)

Threshold costs 0.5b (97.6%)

Compiler

Compiled 19602 to 15423 computations (21.3% saved)

bsearch67.0ms (0.3%)

Steps

Iters	Range		Point
9	1.7363392523948513e+56	1.2800219351190133e+62	3.505644795693938e+60
6	-1.8285525249908812e+53	-3.388490693683344e+52	-7.306691157910573e+52

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	111	100
1	111	100

end0.0ms (0%)

sample4.2s (16.3%)

Algorithm

1×

intervals

Results

659.0ms	8000×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 4956 to 3890 computations (21.5% saved)

Details

analyze1.1s (4.3%)

sample32.0ms (0.1%)

simplify47.0ms (0.2%)

prune4.0ms (0%)

localize23.0ms (0.1%)

rewrite332.0ms (1.3%)

series1.6s (6.3%)

simplify106.0ms (0.4%)

prune363.0ms (1.4%)

localize26.0ms (0.1%)

rewrite849.0ms (3.2%)

series3.3s (12.7%)

simplify223.0ms (0.9%)

prune1.6s (6%)

localize24.0ms (0.1%)

rewrite507.0ms (1.9%)

series3.8s (14.5%)

simplify192.0ms (0.7%)

prune1.1s (4.2%)

localize37.0ms (0.1%)

rewrite672.0ms (2.6%)

series2.5s (9.5%)

simplify151.0ms (0.6%)

prune912.0ms (3.5%)

regimes2.3s (8.7%)

bsearch67.0ms (0.3%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.2s (16.3%)

Profiling