Details

analyze721.0ms (17.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4983	154
1	4983	154
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify135.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5230	22

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

30.3b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 b c) (.f64 a d))
29.9b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
9×	`times-frac_binary64_3835`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
3×	`associate-/l_binary64_3774` `associate-/r_binary64_3773`
2×	`flip--_binary64_3804` `associate-/l/_binary64_3776` `flip3--_binary64_3833` `associate-/r/_binary64_3775` `pow1_binary64_3890`
1×	`flip3-+_binary64_3832` `div-inv_binary64_3826` `cancel-sign-sub-inv_binary64_3795` `div-exp_binary64_3880` `flip-+_binary64_3803` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

2 → 44

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series151.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
42.0ms	(-.f64 (.f64 b c) (.f64 a d))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6253	1269

prune63.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Error

29.6b

Counts

51 → 6

Compiler

Compiled 1312 to 218 computations (83.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b c) (.f64 a d))
17.7b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
32.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
32.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3851`
21×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
18×	`times-frac_binary64_3835` `sqrt-prod_binary64_3845`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890` `sqrt-div_binary64_3846` `associate-/r*_binary64_3773`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `associate-/l*_binary64_3774`
2×	`flip--_binary64_3804` `rem-sqrt-square_binary64_3842` `associate-/l/_binary64_3776` `flip3--_binary64_3833` `associate-/r/_binary64_3775` `pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
1×	`div-inv_binary64_3826` `cancel-sign-sub-inv_binary64_3795` `div-exp_binary64_3880` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
7.0ms	(-.f64 (.f64 b c) (.f64 a d))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series226.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
40.0ms	(-.f64 (.f64 b c) (.f64 a d))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5136	2374

prune95.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Error

27.2b

Counts

104 → 7

Compiler

Compiled 3307 to 418 computations (87.4% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

18.3b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
18.3b	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
32.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
32.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3851`
8×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
6×	`sqrt-prod_binary64_3845` `pow1_binary64_3890` `cbrt-prod_binary64_3860`
4×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `cbrt-div_binary64_3861` `sqrt-div_binary64_3846`
2×	`flip3-+_binary64_3832` `flip--_binary64_3804` `rem-sqrt-square_binary64_3842` `flip-+_binary64_3803` `flip3--_binary64_3833` `pow1/2_binary64_3909` `pow1/3_binary64_3911` `sqrt-pow1_binary64_3847`

Counts

4 → 56

Calls

4 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
4.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))

series351.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
146.0ms	(cbrt.f64 (-.f64 (.f64 b c) (.f64 a d)))
25.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
23.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify144.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4855	1130
1	4855	1130

prune80.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	68	7	75

Error

27.2b

Counts

75 → 7

Compiler

Compiled 3409 to 372 computations (89.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (neg.f64 a) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
32.7b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64_3835`
47×	`add-sqr-sqrt_binary64_3851`
46×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
36×	`sqrt-prod_binary64_3845`
21×	`distribute-rgt-neg-in_binary64_3787` `distribute-lft-neg-in_binary64_3786`
10×	`associate-/l*_binary64_3774`
7×	`neg-mul-1_binary64_3825`
6×	`associate-/r*_binary64_3773`
4×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `sqrt-div_binary64_3846`
3×	`pow1_binary64_3890`
2×	`flip3-+_binary64_3832` `add-log-exp_binary64_3868` `flip-+_binary64_3803` `associate-/r/_binary64_3775`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `rem-sqrt-square_binary64_3842` `neg-sub0_binary64_3824` `clear-num_binary64_3828` `div-sub_binary64_3834` `distribute-frac-neg_binary64_3792` `pow1/2_binary64_3909` `cbrt-undiv_binary64_3863` `frac-2neg_binary64_3840` `sqrt-pow1_binary64_3847`

Counts

2 → 107

Calls

2 calls:

8.0ms	(/.f64 (neg.f64 a) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series84.0ms (2%)

Counts

2 → 6

Calls

2 calls:

60.0ms	(/.f64 (neg.f64 a) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4932	3037
1	4932	3037

prune84.0ms (2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	111	9	120

Error

16.1b

Counts

120 → 9

Compiler

Compiled 2274 to 304 computations (86.6% saved)

regimes536.0ms (12.7%)

Accuracy

Total 4.6b remaining (25.7%)

Threshold costs 0b (0%)

Compiler

Compiled 3425 to 1928 computations (43.7% saved)

bsearch42.0ms (1%)

Steps

Iters	Range		Point
9	4.709958251452121e+64	3.598163599365733e+69	3.54338862761989e+69
7	-1.1438161232924655e+125	-6.786679073780433e+123	-7.462055629753792e+124

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	61	58
1	61	58

end0.0ms (0%)

sample1.1s (26.4%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
24.0ms	485×	body	128	invalid

Compiler

Compiled 739 to 418 computations (43.4% saved)

Details

analyze721.0ms (17.1%)

sample25.0ms (0.6%)

simplify135.0ms (3.2%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite16.0ms (0.4%)

series151.0ms (3.6%)

simplify69.0ms (1.6%)

prune63.0ms (1.5%)

localize12.0ms (0.3%)

rewrite34.0ms (0.8%)

series226.0ms (5.3%)

simplify76.0ms (1.8%)

prune95.0ms (2.2%)

localize19.0ms (0.5%)

rewrite23.0ms (0.5%)

series351.0ms (8.3%)

simplify144.0ms (3.4%)

prune80.0ms (1.9%)

localize8.0ms (0.2%)

rewrite23.0ms (0.5%)

series84.0ms (2%)

simplify77.0ms (1.8%)

prune84.0ms (2%)

regimes536.0ms (12.7%)

bsearch42.0ms (1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.4%)

Profiling