Details

analyze296.0ms (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)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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 (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))))))
0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite177.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
14×	`add-cbrt-cube_binary64_1478`
10×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
8×	`add-cube-cbrt_binary64_1477`
7×	`associate-r_binary64_1382`
6×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475`
4×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-*r/_binary64_1384`
3×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
2×	`unswap-sqr_binary64_1410` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+r+_binary64_1374`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `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` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 (.f64 a a) (+.f64 1 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))))))
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 3307 to 1781 computations (46.1% saved)

series810.0ms (12.3%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

375.0ms	(+.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))))))
197.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
105.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
49.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3786 to 2858 computations (24.5% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5452	2616

prune202.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	2	135

Error

0.0b

Counts

135 → 2

Compiler

Compiled 4522 to 2479 computations (45.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 a a) (+.f64 1 a))
0.2b	(.f64 a (.f64 a (*.f64 b b)))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.6b	(.f64 a (.f64 b b))

rewrite211.0ms (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:

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)

series347.0ms (5.3%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

103.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
83.0ms	(.f64 a (.f64 a (*.f64 b b)))
70.0ms	(.f64 a (.f64 b b))
50.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify71.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5115	1249

prune205.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Error

0.0b

Counts

118 → 2

Compiler

Compiled 4844 to 2833 computations (41.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 a a))
0.0b	(+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12)))
0.0b	(+.f64 (.f64 b b) (.f64 a -12))
0.8b	(.f64 (.f64 b b) (+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12))))

rewrite156.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-log-exp_binary64_1481`
14×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
11×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
10×	`*-un-lft-identity_binary64_1442`
9×	`sum-log_binary64_1533`
8×	`add-sqr-sqrt_binary64_1464` `frac-add_binary64_1450`
6×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `cbrt-unprod_binary64_1475` `associate-*r/_binary64_1384`
5×	`associate-r_binary64_1382`
4×	`associate-l_binary64_1383`
2×	`unswap-sqr_binary64_1410` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373` `+-commutative_binary64_1372`
1×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`

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))))
9.0ms	(+.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)

series571.0ms (8.6%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

244.0ms	(.f64 (.f64 b b) (+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12))))
165.0ms	(+.f64 (+.f64 4 (.f64 2 (.f64 a a))) (+.f64 (.f64 b b) (.f64 a -12)))
91.0ms	(+.f64 (.f64 b b) (.f64 a -12))
28.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 2131 to 1688 computations (20.8% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5022	2633

prune148.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	124	2	126

Error

0.0b

Counts

126 → 2

Compiler

Compiled 3267 to 1967 computations (39.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (+.f64 (.f64 2 a) -12))
0.0b	(+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12)))
0.1b	(.f64 b (.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12))))))
0.1b	(.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (.f64 2 a) -12)))))

rewrite139.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
11×	`*-un-lft-identity_binary64_1442`
9×	`add-cube-cbrt_binary64_1477` `associate-l_binary64_1383`
8×	`associate-r/_binary64_1384` `associate-r*_binary64_1382`
7×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
6×	`add-log-exp_binary64_1481`
5×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`*-commutative_binary64_1373`
2×	`unswap-sqr_binary64_1410` `associate-+r+_binary64_1374`
1×	`distribute-lft-out_binary64_1393` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 82

Calls

4 calls:

10.0ms	(.f64 b (.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12))))))
8.0ms	(.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (.f64 2 a) -12)))))
8.0ms	(.f64 a (+.f64 (.f64 2 a) -12))
5.0ms	(+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12)))

Compiler

Compiled 2453 to 1581 computations (35.5% saved)

series668.0ms (10.1%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

245.0ms	(.f64 b (.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12))))))
220.0ms	(.f64 b (+.f64 4 (+.f64 (.f64 b b) (.f64 a (+.f64 (.f64 2 a) -12)))))
107.0ms	(+.f64 (.f64 b b) (.f64 a (+.f64 (*.f64 2 a) -12)))
53.0ms	(.f64 a (+.f64 (.f64 2 a) -12))

Compiler

Compiled 2191 to 1774 computations (19% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5081	2440

prune136.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Error

0.0b

Counts

131 → 2

Compiler

Compiled 2897 to 1927 computations (33.5% saved)

regimes445.0ms (6.7%)

Accuracy

Total 0.0b remaining (81.2%)

Threshold costs 0.0b (81.2%)

Compiler

Compiled 6875 to 4701 computations (31.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.7s (25.2%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1211 to 843 computations (30.4% saved)

Details

analyze296.0ms (4.5%)

sample29.0ms (0.4%)

simplify59.0ms (0.9%)

prune3.0ms (0%)

localize16.0ms (0.2%)

rewrite177.0ms (2.7%)

series810.0ms (12.3%)

simplify53.0ms (0.8%)

prune202.0ms (3.1%)

localize22.0ms (0.3%)

rewrite211.0ms (3.2%)

series347.0ms (5.3%)

simplify71.0ms (1.1%)

prune205.0ms (3.1%)

localize11.0ms (0.2%)

rewrite156.0ms (2.4%)

series571.0ms (8.6%)

simplify57.0ms (0.9%)

prune148.0ms (2.2%)

localize12.0ms (0.2%)

rewrite139.0ms (2.1%)

series668.0ms (10.1%)

simplify86.0ms (1.3%)

prune136.0ms (2.1%)

regimes445.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.7s (25.2%)

Profiling