Details

analyze234.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5080	25
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 30 computations (14.3% saved)

simplify147.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5080	25

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))
0.0b	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
0.1b	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
14.5b	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))

rewrite34.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_2828`
23×	`*-un-lft-identity_binary64_2806`
21×	`add-cube-cbrt_binary64_2841`
19×	`times-frac_binary64_2812`
15×	`cancel-sign-sub-inv_binary64_2772`
8×	`add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842` `add-log-exp_binary64_2845`
6×	`pow1_binary64_2867`
5×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
4×	`associate-/r/_binary64_2752`
3×	`associate-l_binary64_2747` `associate-/r_binary64_2750` `associate-r_binary64_2746` `associate-/l_binary64_2751`
2×	`associate-/l/_binary64_2753` `div-inv_binary64_2803` `difference-of-squares_binary64_2775` `associate-*l/_binary64_2749`
1×	`div-exp_binary64_2857` `*-commutative_binary64_2737` `flip3--_binary64_2810` `cbrt-undiv_binary64_2840` `distribute-lft-out--_binary64_2758` `diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `sum-log_binary64_2897` `flip--_binary64_2781` `clear-num_binary64_2805` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774` `frac-2neg_binary64_2817` `+-commutative_binary64_2736`

Counts

4 → 91

Calls

4 calls:

11.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
7.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
6.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
3.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

series112.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(.f64 (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)) x)
27.0ms	(-.f64 x (/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x))))
21.0ms	(/.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)) (+.f64 1 (.f64 (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)) x)))
21.0ms	(+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))

simplify81.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5122	2519

prune140.0ms (4.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Error

Counts

104 → 2

Compiler

Compiled 2582 to 2020 computations (21.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))))
0.1b	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
14.5b	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

rewrite70.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`times-frac_binary64_2812`
111×	`add-sqr-sqrt_binary64_2828`
100×	`*-un-lft-identity_binary64_2806`
95×	`add-cube-cbrt_binary64_2841`
50×	`cancel-sign-sub-inv_binary64_2772`
19×	`add-exp-log_binary64_2844`
18×	`associate-/r*_binary64_2750` `associate-/r/_binary64_2752`
13×	`add-cbrt-cube_binary64_2842`
11×	`div-inv_binary64_2803`
10×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
8×	`div-exp_binary64_2857`
7×	`pow1_binary64_2867`
6×	`add-log-exp_binary64_2845` `associate-/l*_binary64_2751`
5×	`difference-of-squares_binary64_2775`
4×	`cbrt-undiv_binary64_2840`
3×	`associate-l_binary64_2747` `associate-r_binary64_2746`
2×	`associate-/l/_binary64_2753` `1-exp_binary64_2850` `rec-exp_binary64_2856` `distribute-lft-out--_binary64_2758` `clear-num_binary64_2805` `associate-*r/_binary64_2748` `frac-2neg_binary64_2817`
1×	`pow-flip_binary64_2880` `*-commutative_binary64_2737` `flip3--_binary64_2810` `distribute-lft-in_binary64_2755` `distribute-rgt-in_binary64_2756` `diff-log_binary64_2898` `prod-exp_binary64_2855` `sub-neg_binary64_2799` `cbrt-unprod_binary64_2839` `flip--_binary64_2781` `inv-pow_binary64_2891` `pow-prod-down_binary64_2877` `unswap-sqr_binary64_2774`

Counts

4 → 205

Calls

4 calls:

25.0ms	(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))))
9.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
7.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
6.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))

series107.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))
31.0ms	(-.f64 x (/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))))
20.0ms	(/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
19.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (.f64 x 3228900788839551/72057594037927936)))) (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))

simplify133.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4958	7636
1	4958	7636

prune415.0ms (13.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	217	2	219

Error

Counts

219 → 2

Compiler

Compiled 6514 to 5235 computations (19.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
0.8b	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
2.7b	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
11.6b	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))

rewrite66.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2828`
41×	`*-un-lft-identity_binary64_2806` `add-cube-cbrt_binary64_2841` `cbrt-prod_binary64_2837`
40×	`cbrt-div_binary64_2838`
38×	`times-frac_binary64_2812`
30×	`associate-r_binary64_2746`
22×	`flip-+_binary64_2780` `flip3-+_binary64_2809`
20×	`frac-times_binary64_2816` `add-exp-log_binary64_2844`
16×	`pow1_binary64_2867`
14×	`associate-*l/_binary64_2749`
11×	`add-cbrt-cube_binary64_2842`
7×	`associate-l_binary64_2747` `pow1/3_binary64_2888` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-*r/_binary64_2748` `unswap-sqr_binary64_2774`
6×	`swap-sqr_binary64_2773` `associate-/l*_binary64_2751`
5×	`pow-prod-down_binary64_2877`
4×	`add-log-exp_binary64_2845` `associate-/r/_binary64_2752`
3×	`div-exp_binary64_2857` `cbrt-undiv_binary64_2840` `associate-/r*_binary64_2750`
2×	`associate-/l/_binary64_2753` `pow-sqr_binary64_2779` `div-inv_binary64_2803` `*-commutative_binary64_2737` `pow-prod-up_binary64_2876`
1×	`pow2_binary64_2887` `clear-num_binary64_2805` `pow-plus_binary64_2869` `frac-2neg_binary64_2817`

Counts

4 → 167

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))
10.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
7.0ms	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
2.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))

series138.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936)))))
37.0ms	(.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248))))
28.0ms	(cbrt.f64 (+.f64 162377988252285/70368744177664 (*.f64 x 609359547581365/2251799813685248)))
27.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248)))) (/.f64 (cbrt.f64 (+.f64 162377988252285/70368744177664 (.f64 x 609359547581365/2251799813685248))) (+.f64 1 (.f64 x (+.f64 8937753748486939/9007199254740992 (*.f64 x 3228900788839551/72057594037927936))))))

simplify118.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4951	5748
1	4951	5748

prune500.0ms (16.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	179	0	179
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	179	2	181

Error

Counts

181 → 2

Compiler

Compiled 7234 to 5954 computations (17.7% saved)

regimes51.0ms (1.7%)

Accuracy

Total 0.0b remaining (90.6%)

Threshold costs 0.0b (90.6%)

Compiler

Compiled 532 to 444 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	112	28
1	112	28

end0.0ms (0%)

sample686.0ms (22.2%)

Algorithm

1×

intervals

Results

309.0ms

8000×

body

128

valid

Compiler

Compiled 285 to 239 computations (16.1% saved)

Details

analyze234.0ms (7.6%)

sample15.0ms (0.5%)

simplify147.0ms (4.8%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite34.0ms (1.1%)

series112.0ms (3.6%)

simplify81.0ms (2.6%)

prune140.0ms (4.5%)

localize11.0ms (0.4%)

rewrite70.0ms (2.3%)

series107.0ms (3.5%)

simplify133.0ms (4.3%)

prune415.0ms (13.4%)

localize15.0ms (0.5%)

rewrite66.0ms (2.1%)

series138.0ms (4.5%)

simplify118.0ms (3.8%)

prune500.0ms (16.2%)

regimes51.0ms (1.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample686.0ms (22.2%)

Profiling