Details

analyze295.0ms (4.5%)

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 (0.4%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5029	46

prune4.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize20.0ms (0.3%)

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

rewrite199.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`associate-*r/_binary64_1384`
17×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
16×	`add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
12×	`*-un-lft-identity_binary64_1442`
10×	`add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
7×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
5×	`associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`unswap-sqr_binary64_1410` `flip3--_binary64_1446` `flip--_binary64_1417` `*-commutative_binary64_1373` `unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `distribute-lft-out_binary64_1393`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series602.0ms (9.2%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

200.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
178.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
109.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
46.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3514 to 2532 computations (27.9% saved)

simplify73.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5049	2504

prune224.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	2	141

Error

0.0b

Counts

141 → 2

Compiler

Compiled 5062 to 2775 computations (45.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.7b	(.f64 a (.f64 a (*.f64 b b)))
0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.8b	(.f64 a (.f64 b b))

rewrite207.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
11×	`add-sqr-sqrt_binary64_1464`
10×	`*-un-lft-identity_binary64_1442`
9×	`associate-r_binary64_1382`
8×	`add-cube-cbrt_binary64_1477` `associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `-commutative_binary64_1373` `associate-r/_binary64_1384`
3×	`unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 a (.f64 a (*.f64 b b)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4067 to 2322 computations (42.9% saved)

series365.0ms (5.6%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

110.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
84.0ms	(.f64 a (.f64 a (*.f64 b b)))
73.0ms	(.f64 a (.f64 b b))
53.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5115	1249

prune214.0ms (3.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	116	2	118

Error

0.0b

Counts

118 → 2

Compiler

Compiled 4931 to 2879 computations (41.6% saved)

localize30.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 a (.f64 b b))
32.6b	(cbrt.f64 (.f64 a (.f64 b b)))
32.6b	(cbrt.f64 (.f64 a (.f64 b b)))
32.6b	(cbrt.f64 (.f64 a (.f64 b b)))

rewrite117.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`add-sqr-sqrt_binary64_1464`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-log-exp_binary64_1481`
3×	`pow1/3_binary64_1524` `cbrt-prod_binary64_1473` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
1×	`unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

4 → 46

Calls

4 calls:

6.0ms	(.f64 a (.f64 b b))
5.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
5.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
5.0ms	(cbrt.f64 (.f64 a (.f64 b b)))

Compiler

Compiled 2735 to 1224 computations (55.2% saved)

series769.0ms (11.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

220.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
215.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
211.0ms	(cbrt.f64 (.f64 a (.f64 b b)))
70.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4203 to 2673 computations (36.4% saved)

simplify93.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5036	665

prune137.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	2	72

Error

0.0b

Counts

72 → 2

Compiler

Compiled 4013 to 1796 computations (55.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
18.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
18.9b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite200.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64_1473`
12×	`add-sqr-sqrt_binary64_1464`
11×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481`
3×	`pow1/3_binary64_1524` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r_binary64_1382`
2×	`sub-neg_binary64_1435` `distribute-rgt-in_binary64_1392` `cancel-sign-sub-inv_binary64_1408` `distribute-lft-in_binary64_1391` `associate-*r/_binary64_1384`
1×	`unswap-sqr_binary64_1410` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-l_binary64_1383` `*-commutative_binary64_1373`

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)

series796.0ms (12.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

206.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
201.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
190.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
108.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

Compiler

Compiled 6712 to 4193 computations (37.5% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4939	2121
1	4939	2121

prune266.0ms (4.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	117	3	120

Error

0.0b

Counts

120 → 3

Compiler

Compiled 6867 to 3272 computations (52.4% saved)

regimes306.0ms (4.7%)

Accuracy

Total 0.0b remaining (64.4%)

Threshold costs 0.0b (64.4%)

Compiler

Compiled 4924 to 3158 computations (35.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	85	82
1	85	82

end0.0ms (0%)

sample1.4s (20.8%)

Algorithm

1×

intervals

Results

507.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 929 to 596 computations (35.8% saved)

Details

analyze295.0ms (4.5%)

sample26.0ms (0.4%)

simplify61.0ms (0.9%)

prune4.0ms (0.1%)

localize20.0ms (0.3%)

rewrite199.0ms (3%)

series602.0ms (9.2%)

simplify73.0ms (1.1%)

prune224.0ms (3.4%)

localize22.0ms (0.3%)

rewrite207.0ms (3.2%)

series365.0ms (5.6%)

simplify69.0ms (1%)

prune214.0ms (3.3%)

localize30.0ms (0.5%)

rewrite117.0ms (1.8%)

series769.0ms (11.7%)

simplify93.0ms (1.4%)

prune137.0ms (2.1%)

localize22.0ms (0.3%)

rewrite200.0ms (3.1%)

series796.0ms (12.2%)

simplify62.0ms (0.9%)

prune266.0ms (4.1%)

regimes306.0ms (4.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (20.8%)

Profiling