Details

analyze139.0ms (3.5%)

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)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify192.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4974	46
1	4974	46

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.5%)

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)))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite48.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_1032`
17×	`add-exp-log_binary64_1123` `pow1_binary64_1146`
16×	`add-cbrt-cube_binary64_1121`
14×	`add-sqr-sqrt_binary64_1109`
12×	`*-un-lft-identity_binary64_1088`
10×	`associate-r_binary64_1030` `add-cube-cbrt_binary64_1120`
7×	`cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
5×	`associate-l_binary64_1031`
4×	`frac-add_binary64_1096` `flip-+_binary64_1062` `add-log-exp_binary64_1124` `flip3-+_binary64_1091`
3×	`*-commutative_binary64_1021` `unpow-prod-down_binary64_1164` `unswap-sqr_binary64_1056` `distribute-rgt-in_binary64_1040` `flip3--_binary64_1092` `flip--_binary64_1063` `pow-unpow_binary64_1162` `distribute-lft-in_binary64_1039`
2×	`sub-neg_binary64_1081`
1×	`sqr-pow_binary64_1060` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `pow-to-exp_binary64_1154` `unpow2_binary64_1150` `distribute-lft-out_binary64_1041`

Counts

4 → 91

Calls

4 calls:

14.0ms	(.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))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series260.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
66.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
66.0ms	(.f64 (.f64 a a) (+.f64 1 a))
54.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5132	2012

prune171.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	3	104

Merged error: 0b

Counts

104 → 3

Compiler

Compiled 4041 to 2240 computations (44.6% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.0b	(.f64 (.f64 b b) (*.f64 a a))

rewrite55.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`pow1_binary64_1146`
44×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123`
33×	`pow-prod-down_binary64_1156`
27×	`cbrt-unprod_binary64_1118` `prod-exp_binary64_1134`
9×	`associate-r_binary64_1030` `add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088`
7×	`add-cube-cbrt_binary64_1120`
6×	`associate-l_binary64_1031`
4×	`-commutative_binary64_1021` `pow-plus_binary64_1148` `add-log-exp_binary64_1124` `pow-prod-up_binary64_1155` `associate-r/_binary64_1032`
3×	`unswap-sqr_binary64_1056`
2×	`distribute-rgt-in_binary64_1040` `pow2_binary64_1166` `sub-neg_binary64_1081` `pow-sqr_binary64_1061` `distribute-lft-in_binary64_1039`
1×	`flip3--_binary64_1092` `flip--_binary64_1063` `flip-+_binary64_1062` `flip3-+_binary64_1091` `distribute-lft-out_binary64_1041`

Counts

4 → 103

Calls

4 calls:

14.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))

series223.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
62.0ms	(.f64 (.f64 a a) (+.f64 1 a))
50.0ms	(.f64 2 (.f64 (.f64 b b) (.f64 a a)))
44.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5088	1337

prune210.0ms (5.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

Compiler

Compiled 4879 to 2923 computations (40.1% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_1116`
12×	`add-sqr-sqrt_binary64_1109`
11×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
9×	`unpow-prod-down_binary64_1164` `add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
4×	`add-log-exp_binary64_1124`
3×	`associate-r_binary64_1030` `sqr-pow_binary64_1060` `cbrt-unprod_binary64_1118` `pow1/3_binary64_1167` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134` `unpow2_binary64_1150`
2×	`sub-neg_binary64_1081` `associate-*r/_binary64_1032`
1×	`-commutative_binary64_1021` `unswap-sqr_binary64_1056` `distribute-rgt-in_binary64_1040` `flip3--_binary64_1092` `flip--_binary64_1063` `associate-l*_binary64_1031` `distribute-lft-in_binary64_1039`

Counts

4 → 71

Calls

4 calls:

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

series493.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
148.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
134.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
62.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

simplify44.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4971	1568
1	4971	1568

prune176.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

Compiler

Compiled 4985 to 2332 computations (53.2% saved)

localize18.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
23.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_1123` `pow1_binary64_1146`
14×	`add-cbrt-cube_binary64_1121`
12×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088`
10×	`add-cube-cbrt_binary64_1120`
7×	`associate-r_binary64_1030` `cbrt-prod_binary64_1116`
6×	`unpow-prod-down_binary64_1164` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
4×	`add-log-exp_binary64_1124` `associate-*r/_binary64_1032`
3×	`pow-unpow_binary64_1162`
2×	`-commutative_binary64_1021` `unswap-sqr_binary64_1056` `sqr-pow_binary64_1060` `distribute-rgt-in_binary64_1040` `sub-neg_binary64_1081` `associate-l*_binary64_1031` `distribute-lft-in_binary64_1039`
1×	`flip3--_binary64_1092` `flip--_binary64_1063` `pow-exp_binary64_1153` `pow-pow_binary64_1157` `flip-+_binary64_1062` `pow-to-exp_binary64_1154` `pow1/3_binary64_1167` `flip3-+_binary64_1091` `distribute-lft-out_binary64_1041`

Counts

4 → 79

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
6.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)

series530.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

349.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
65.0ms	(.f64 (.f64 a a) (+.f64 1 a))
64.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
52.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4914	1366
1	4914	1366

prune132.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

Compiler

Compiled 3323 to 1832 computations (44.9% saved)

regimes46.0ms (1.2%)

Compiler: Compiled 477 to 309 computations (35.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	77	58
1	77	58

end0.0ms (0%)

sample863.0ms (21.7%)

Algorithm

1×

intervals

Results

561.0ms	8000×	body	128	valid
1.0ms	9×	body	128	invalid

Compiler

Compiled 196 to 130 computations (33.7% saved)

Details

analyze139.0ms (3.5%)

sample27.0ms (0.7%)

simplify192.0ms (4.8%)

prune3.0ms (0.1%)

localize20.0ms (0.5%)

rewrite48.0ms (1.2%)

series260.0ms (6.5%)

simplify65.0ms (1.6%)

prune171.0ms (4.3%)

localize25.0ms (0.6%)

rewrite55.0ms (1.4%)

series223.0ms (5.6%)

simplify68.0ms (1.7%)

prune210.0ms (5.3%)

localize21.0ms (0.5%)

rewrite36.0ms (0.9%)

series493.0ms (12.4%)

simplify44.0ms (1.1%)

prune176.0ms (4.4%)

localize18.0ms (0.5%)

rewrite40.0ms (1%)

series530.0ms (13.3%)

simplify66.0ms (1.7%)

prune132.0ms (3.3%)

regimes46.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample863.0ms (21.7%)

Profiling