Details

analyze126.0ms (1.4%)

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%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample30.0ms (0.3%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify161.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5029	46

prune5.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite181.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_2867` `add-exp-log_binary64_2844`
14×	`add-cbrt-cube_binary64_2842`
10×	`add-sqr-sqrt_binary64_2828` `*-un-lft-identity_binary64_2806`
8×	`add-cube-cbrt_binary64_2841`
7×	`associate-r_binary64_2746`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-log-exp_binary64_2845` `cbrt-unprod_binary64_2839`
4×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-*r/_binary64_2748`
3×	`unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`unswap-sqr_binary64_2774` `sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772` `associate-l_binary64_2747` `*-commutative_binary64_2737` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-+r+_binary64_2738`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `distribute-lft-out_binary64_2757` `sum-log_binary64_2897` `+-commutative_binary64_2736`

Counts

4 → 80

Calls

4 calls:

13.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3307 to 1781 computations (46.1% saved)

series840.0ms (9%)

Error

0.0b

Counts

4 → 53

Calls

4 calls:

394.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
202.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
104.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
56.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3720 to 2815 computations (24.3% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5452	2603

prune213.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	5	134

Error

Counts

134 → 5

Compiler

Compiled 4533 to 2495 computations (45% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.6b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.7b	(.f64 a (.f64 b b))
0.9b	(.f64 a (.f64 a (*.f64 b b)))

rewrite215.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
15×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
11×	`add-sqr-sqrt_binary64_2828`
10×	`*-un-lft-identity_binary64_2806`
9×	`associate-r_binary64_2746`
8×	`add-cube-cbrt_binary64_2841` `associate-l_binary64_2747`
4×	`add-log-exp_binary64_2845` `-commutative_binary64_2737` `associate-r/_binary64_2748`
3×	`unswap-sqr_binary64_2774` `distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755`
2×	`sub-neg_binary64_2799` `cancel-sign-sub-inv_binary64_2772`
1×	`flip3--_binary64_2810` `flip--_binary64_2781` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series363.0ms (3.9%)

Error

Counts

4 → 26

Calls

4 calls:

111.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
85.0ms	(.f64 a (.f64 a (*.f64 b b)))
74.0ms	(.f64 a (.f64 b b))
51.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2817 to 2044 computations (27.4% saved)

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5115	1236

prune209.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	115	5	120

Error

Counts

120 → 5

Compiler

Compiled 4847 to 2843 computations (41.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
0.6b	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
4.6b	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
10.9b	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))

rewrite186.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`pow1_binary64_2867`
11×	`add-sqr-sqrt_binary64_2828` `add-exp-log_binary64_2844`
10×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`add-cbrt-cube_binary64_2842`
6×	`log-prod_binary64_2892`
4×	`log-div_binary64_2893` `add-log-exp_binary64_2845` `exp-prod_binary64_2858`
3×	`exp-sum_binary64_2852` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-l_binary64_2747` `unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`log-pow_binary64_2895` `flip3-+_binary64_2809` `flip-+_binary64_2780` `exp-diff_binary64_2854` `associate-*l/_binary64_2749`
1×	`rem-log-exp_binary64_2847` `rem-exp-log_binary64_2846` `unswap-sqr_binary64_2774` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-r_binary64_2746` `*-commutative_binary64_2737` `pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778`

Counts

4 → 70

Calls

4 calls:

11.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
8.0ms	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
7.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)

Compiler

Compiled 3596 to 1999 computations (44.4% saved)

series3.2s (34.5%)

Error

Counts

4 → 57

Calls

4 calls:

2.6s	(exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3)))))))
286.0ms	(log.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (-.f64 1 (.f64 3 a)) (.f64 b b)) (+.f64 (*.f64 a a) (pow.f64 a 3))))))
128.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2)
108.0ms	(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))

Compiler

Compiled 6410 to 5258 computations (18% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4943	4585
1	4943	4585

prune245.0ms (2.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	127	5	132

Error

Counts

132 → 5

Compiler

Compiled 5178 to 3079 computations (40.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 b b) (.f64 a -12))
0.0b	(+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12)))
0.0b	(.f64 2 (.f64 a a))
1.6b	(.f64 (.f64 b b) (+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12))))

rewrite169.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-log-exp_binary64_2845`
14×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cbrt-cube_binary64_2842`
11×	`flip3-+_binary64_2809` `flip-+_binary64_2780`
10×	`*-un-lft-identity_binary64_2806`
9×	`sum-log_binary64_2897`
8×	`add-sqr-sqrt_binary64_2828` `frac-add_binary64_2814`
6×	`pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `add-cube-cbrt_binary64_2841` `cbrt-unprod_binary64_2839` `associate-*r/_binary64_2748`
5×	`associate-r_binary64_2746`
4×	`associate-l_binary64_2747`
2×	`unswap-sqr_binary64_2774` `distribute-lft-out_binary64_2757` `*-commutative_binary64_2737` `+-commutative_binary64_2736`
1×	`distribute-rgt-in_binary64_2756` `distribute-lft-in_binary64_2755` `associate-+l+_binary64_2739` `associate-+r+_binary64_2738`

Counts

4 → 79

Calls

4 calls:

14.0ms	(.f64 (.f64 b b) (+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12))))
13.0ms	(+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12)))
6.0ms	(.f64 2 (.f64 a a))
4.0ms	(+.f64 (.f64 b b) (.f64 a -12))

Compiler

Compiled 3036 to 1690 computations (44.3% saved)

series539.0ms (5.8%)

Error

Counts

4 → 42

Calls

4 calls:

256.0ms	(.f64 (.f64 b b) (+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12))))
154.0ms	(+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12)))
60.0ms	(+.f64 (.f64 b b) (.f64 a -12))
24.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 2005 to 1598 computations (20.3% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5022	2603

prune155.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	121	5	126

Error

Counts

126 → 5

Compiler

Compiled 3185 to 1919 computations (39.7% saved)

regimes455.0ms (4.9%)

Accuracy

Total 0.0b remaining (65.5%)

Threshold costs 0.0b (65.5%)

Compiler

Compiled 5942 to 4265 computations (28.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.7s (17.6%)

Algorithm

1×

intervals

Results

517.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 1067 to 774 computations (27.5% saved)

Details

analyze126.0ms (1.4%)

sample30.0ms (0.3%)

simplify161.0ms (1.7%)

prune5.0ms (0%)

localize18.0ms (0.2%)

rewrite181.0ms (1.9%)

series840.0ms (9%)

simplify64.0ms (0.7%)

prune213.0ms (2.3%)

localize22.0ms (0.2%)

rewrite215.0ms (2.3%)

series363.0ms (3.9%)

simplify76.0ms (0.8%)

prune209.0ms (2.2%)

localize20.0ms (0.2%)

rewrite186.0ms (2%)

series3.2s (34.5%)

simplify107.0ms (1.1%)

prune245.0ms (2.6%)

localize12.0ms (0.1%)

rewrite169.0ms (1.8%)

series539.0ms (5.8%)

simplify63.0ms (0.7%)

prune155.0ms (1.7%)

regimes455.0ms (4.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.7s (17.6%)

Profiling