Details

analyze333.0ms (3.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
0	2	2
1	2	2

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)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5029	46

prune3.0ms (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)

localize32.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.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)
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite178.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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×	`associate-*r/_binary64_2748`
3×	`sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `unpow-prod-down_binary64_2885` `pow-unpow_binary64_2883`
2×	`unswap-sqr_binary64_2774` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747` `*-commutative_binary64_2737`
1×	`pow-pow_binary64_2878` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `unpow2_binary64_2871` `sqr-pow_binary64_2778` `flip3-+_binary64_2809` `flip-+_binary64_2780` `distribute-lft-out_binary64_2757` `diff-log_binary64_2898`

Counts

4 → 79

Calls

4 calls:

17.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
12.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
3.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 3034 to 1663 computations (45.2% saved)

series529.0ms (6.2%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

228.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
140.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
54.0ms	(.f64 (.f64 a a) (+.f64 1 a))
37.0ms	(-.f64 1 (*.f64 3 a))

Compiler

Compiled 3054 to 2133 computations (30.2% saved)

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5226	1516

prune236.0ms (2.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	3	119

Error

0.0b

Counts

119 → 3

Compiler

Compiled 4136 to 2249 computations (45.6% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.8b	(.f64 a (.f64 b b))
1.1b	(.f64 a (.f64 a (*.f64 b b)))

rewrite236.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

17.0ms	(.f64 (.f64 a a) (+.f64 1 a))
14.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 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)

series439.0ms (5.2%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

139.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
104.0ms	(.f64 a (.f64 a (*.f64 b b)))
85.0ms	(.f64 a (.f64 b b))
59.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5115	1249

prune249.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	116	3	119

Error

0.0b

Counts

119 → 3

Compiler

Compiled 4893 to 2863 computations (41.5% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
10.4b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
10.4b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite424.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_2828`
10×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
9×	`add-cbrt-cube_binary64_2842` `cbrt-prod_binary64_2837`
6×	`unpow-prod-down_binary64_2885`
4×	`add-log-exp_binary64_2845` `cbrt-div_binary64_2838`
3×	`pow1/3_binary64_2888` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839` `associate-r_binary64_2746` `pow-unpow_binary64_2883`
2×	`flip3-+_binary64_2809` `flip-+_binary64_2780` `sub-neg_binary64_2799` `distribute-rgt-in_binary64_2756` `cancel-sign-sub-inv_binary64_2772` `distribute-lft-in_binary64_2755` `associate-*r/_binary64_2748` `pow-pow_binary64_2878`
1×	`unswap-sqr_binary64_2774` `flip3--_binary64_2810` `flip--_binary64_2781` `associate-l_binary64_2747` `*-commutative_binary64_2737` `pow-to-exp_binary64_2875` `pow-exp_binary64_2874` `sqr-pow_binary64_2778`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
7.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
7.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)

Compiler

Compiled 3764 to 1658 computations (56% saved)

series1.4s (16.4%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

464.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
330.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
281.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
148.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 7594 to 5256 computations (30.8% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4898	2911
1	4898	2911

prune320.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	134	4	138

Error

Counts

138 → 4

Compiler

Compiled 6866 to 3439 computations (49.9% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (cbrt.f64 (.f64 a a)) (*.f64 b b))
10.4b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
17.5b	(cbrt.f64 (pow.f64 a 8))
25.8b	(cbrt.f64 (*.f64 a a))

rewrite161.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`cbrt-prod_binary64_2837`
9×	`pow1_binary64_2867` `add-exp-log_binary64_2844` `add-sqr-sqrt_binary64_2828`
8×	`add-cube-cbrt_binary64_2841` `*-un-lft-identity_binary64_2806`
7×	`add-cbrt-cube_binary64_2842`
4×	`add-log-exp_binary64_2845` `associate-l_binary64_2747`
3×	`pow1/3_binary64_2888` `unpow-prod-down_binary64_2885` `pow-prod-down_binary64_2877` `prod-exp_binary64_2855` `cbrt-unprod_binary64_2839`
2×	`cbrt-div_binary64_2838` `unswap-sqr_binary64_2774`
1×	`sqr-pow_binary64_2778` `flip3-+_binary64_2809` `flip-+_binary64_2780` `associate-r_binary64_2746` `*-commutative_binary64_2737`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 a a)) (*.f64 b b))
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
4.0ms	(cbrt.f64 (*.f64 a a))
2.0ms	(cbrt.f64 (pow.f64 a 8))

Compiler

Compiled 3175 to 1540 computations (51.5% saved)

series676.0ms (8%)

Error

Counts

4 → 21

Calls

4 calls:

243.0ms	(.f64 (cbrt.f64 (.f64 a a)) (*.f64 b b))
175.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
123.0ms	(cbrt.f64 (pow.f64 a 8))
96.0ms	(cbrt.f64 (*.f64 a a))

Compiler

Compiled 3054 to 2090 computations (31.6% saved)

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4875	966
1	4875	966

prune217.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 4069 to 2036 computations (50% saved)

regimes489.0ms (5.8%)

Accuracy

Total 0.0b remaining (57.4%)

Threshold costs 0.0b (57.4%)

Compiler

Compiled 7349 to 4731 computations (35.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample2.0s (23.4%)

Algorithm

1×

intervals

Results

630.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1355 to 886 computations (34.6% saved)

Details

analyze333.0ms (3.9%)

sample27.0ms (0.3%)

simplify61.0ms (0.7%)

prune3.0ms (0%)

localize32.0ms (0.4%)

rewrite178.0ms (2.1%)

series529.0ms (6.2%)

simplify99.0ms (1.2%)

prune236.0ms (2.8%)

localize43.0ms (0.5%)

rewrite236.0ms (2.8%)

series439.0ms (5.2%)

simplify82.0ms (1%)

prune249.0ms (2.9%)

localize28.0ms (0.3%)

rewrite424.0ms (5%)

series1.4s (16.4%)

simplify90.0ms (1.1%)

prune320.0ms (3.8%)

localize34.0ms (0.4%)

rewrite161.0ms (1.9%)

series676.0ms (8%)

simplify121.0ms (1.4%)

prune217.0ms (2.6%)

regimes489.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (23.4%)

Profiling