Details

analyze291.0ms (3.8%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.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))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite202.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

18×	`associate-*r/_binary64_2407`
17×	`pow1_binary64_2526` `add-exp-log_binary64_2503`
16×	`add-cbrt-cube_binary64_2501`
14×	`add-sqr-sqrt_binary64_2487`
12×	`*-un-lft-identity_binary64_2465`
10×	`add-cube-cbrt_binary64_2500` `associate-r_binary64_2405`
7×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `flip3-+_binary64_2468` `flip-+_binary64_2439` `frac-add_binary64_2473`
3×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `*-commutative_binary64_2396` `unpow-prod-down_binary64_2544` `pow-unpow_binary64_2542`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
1×	`pow-pow_binary64_2537` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `distribute-lft-out_binary64_2416`

Counts

4 → 93

Calls

4 calls:

16.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series591.0ms (7.7%)

Error

0.0b

Counts

4 → 44

Calls

4 calls:

197.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
175.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
108.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
46.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3353 to 2417 computations (27.9% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5037	2441

prune215.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	4	138

Error

Counts

138 → 4

Compiler

Compiled 5026 to 2761 computations (45.1% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite210.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
15×	`pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
11×	`add-sqr-sqrt_binary64_2487`
10×	`*-un-lft-identity_binary64_2465`
9×	`associate-r_binary64_2405`
8×	`add-cube-cbrt_binary64_2500` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `-commutative_binary64_2396` `associate-r/_binary64_2407`
3×	`unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
2×	`sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431`
1×	`flip3--_binary64_2469` `flip--_binary64_2440` `flip3-+_binary64_2468` `flip-+_binary64_2439` `distribute-lft-out_binary64_2416`

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.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)

series372.0ms (4.8%)

Error

Counts

4 → 27

Calls

4 calls:

121.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
87.0ms	(.f64 a (.f64 a (*.f64 b b)))
70.0ms	(.f64 a (.f64 b b))
51.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5115	1249

prune210.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	4	120

Error

Counts

120 → 4

Compiler

Compiled 4920 to 2873 computations (41.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
16.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
16.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
16.3b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite199.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_2496`
12×	`add-sqr-sqrt_binary64_2487`
11×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
4×	`add-log-exp_binary64_2504`
3×	`pow1/3_binary64_2547` `unpow2_binary64_2530` `sqr-pow_binary64_2437` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r_binary64_2405`
2×	`sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407`
1×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4662 to 2198 computations (52.9% saved)

series1.1s (14.3%)

Error

Counts

4 → 63

Calls

4 calls:

280.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
271.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
270.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
116.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 9043 to 5804 computations (35.8% saved)

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4997	3129
1	4997	3129

prune355.0ms (4.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	136	4	140

Error

Counts

140 → 4

Compiler

Compiled 8359 to 4170 computations (50.1% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
0.9b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.8b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
8.8b	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

rewrite159.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64_2487`
10×	`pow1_binary64_2526` `add-exp-log_binary64_2503` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
9×	`add-cbrt-cube_binary64_2501` `cbrt-prod_binary64_2496`
6×	`unpow-prod-down_binary64_2544`
4×	`add-log-exp_binary64_2504` `cbrt-div_binary64_2497`
3×	`pow1/3_binary64_2547` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `associate-r_binary64_2405` `pow-unpow_binary64_2542`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `sub-neg_binary64_2458` `distribute-rgt-in_binary64_2415` `cancel-sign-sub-inv_binary64_2431` `distribute-lft-in_binary64_2414` `associate-*r/_binary64_2407` `pow-pow_binary64_2537`
1×	`unswap-sqr_binary64_2433` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-l_binary64_2406` `*-commutative_binary64_2396` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `sqr-pow_binary64_2437`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
4.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))

Compiler

Compiled 3764 to 1658 computations (56% saved)

series1.3s (16.7%)

Error

Counts

4 → 66

Calls

4 calls:

515.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 b b) (.f64 a a))) 4)
247.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
245.0ms	(cbrt.f64 (+.f64 (.f64 b b) (.f64 a a)))
115.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 8020 to 5568 computations (30.6% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4894	3040
1	4894	3040

prune303.0ms (3.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	138	4	142

Error

Counts

142 → 4

Compiler

Compiled 6949 to 3475 computations (50% saved)

regimes314.0ms (4.1%)

Accuracy

Total 0.0b remaining (56.1%)

Threshold costs 0.0b (56.1%)

Compiler

Compiled 5093 to 3371 computations (33.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.4s (18.1%)

Algorithm

1×

intervals

Results

511.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 952 to 637 computations (33.1% saved)

Details

analyze291.0ms (3.8%)

sample26.0ms (0.3%)

simplify59.0ms (0.8%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite202.0ms (2.6%)

series591.0ms (7.7%)

simplify70.0ms (0.9%)

prune215.0ms (2.8%)

localize22.0ms (0.3%)

rewrite210.0ms (2.7%)

series372.0ms (4.8%)

simplify68.0ms (0.9%)

prune210.0ms (2.7%)

localize21.0ms (0.3%)

rewrite199.0ms (2.6%)

series1.1s (14.3%)

simplify76.0ms (1%)

prune355.0ms (4.6%)

localize23.0ms (0.3%)

rewrite159.0ms (2.1%)

series1.3s (16.7%)

simplify101.0ms (1.3%)

prune303.0ms (3.9%)

regimes314.0ms (4.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (18.1%)

Profiling