Details

analyze126.0ms (2.2%)

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)

sample28.0ms (0.5%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify146.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5029	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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize16.0ms (0.3%)

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))))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.2b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary64_1480` `pow1_binary64_1503`
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×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `prod-exp_binary64_1491`
4×	`associate-*r/_binary64_1384` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
3×	`pow-unpow_binary64_1519` `unpow-prod-down_binary64_1521`
2×	`cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `associate-l_binary64_1383` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+r+_binary64_1374` `unswap-sqr_binary64_1410`
1×	`sum-log_binary64_1533` `pow-exp_binary64_1510` `unpow2_binary64_1507` `flip3--_binary64_1446` `+-commutative_binary64_1372` `distribute-lft-out_binary64_1393` `flip--_binary64_1417` `sqr-pow_binary64_1414` `pow-to-exp_binary64_1511` `pow-pow_binary64_1514`

Counts

4 → 80

Calls

4 calls:

11.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 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 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series174.0ms (3%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(+.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))))))
32.0ms	(.f64 (.f64 a a) (+.f64 1 a))
31.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
31.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5227	1848

prune145.0ms (2.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	2	93

Error

0.0b

Counts

93 → 2

Compiler

Compiled 3498 to 1885 computations (46.1% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.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))
0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.4b	(.f64 (.f64 b b) (*.f64 a a))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`pow1_binary64_1503`
32×	`associate-*r/_binary64_1384`
26×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
20×	`pow-prod-down_binary64_1513` `frac-add_binary64_1450`
14×	`cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491`
13×	`add-log-exp_binary64_1481`
8×	`associate-r_binary64_1382` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`sum-log_binary64_1533` `add-cube-cbrt_binary64_1477`
5×	`flip3--_binary64_1446` `flip--_binary64_1417`
4×	`pow-plus_binary64_1505` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `pow-prod-up_binary64_1512`
3×	`associate-l_binary64_1383` `*-commutative_binary64_1373` `unswap-sqr_binary64_1410`
2×	`pow2_binary64_1523` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `pow-sqr_binary64_1415` `associate-+r+_binary64_1374`
1×	`associate-+l+_binary64_1375` `+-commutative_binary64_1372` `distribute-lft-out_binary64_1393`

Counts

4 → 106

Calls

4 calls:

27.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
9.0ms	(.f64 (.f64 b b) (*.f64 a a))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series162.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 b b) (.f64 a a))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))))))
31.0ms	(.f64 (.f64 a a) (+.f64 1 a))
31.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
25.0ms	(.f64 (.f64 b b) (*.f64 a a))

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5094	4777

prune304.0ms (5.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	118	2	120

Error

0.0b

Counts

120 → 2

Compiler

Compiled 6513 to 3944 computations (39.4% saved)

localize32.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
3.6b	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3))
6.2b	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
45.8b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))

rewrite97.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
44×	`associate-+r+_binary64_1374`
34×	`cancel-sign-sub-inv_binary64_1408`
32×	`*-un-lft-identity_binary64_1442`
23×	`add-sqr-sqrt_binary64_1464`
22×	`add-cube-cbrt_binary64_1477`
12×	`times-frac_binary64_1448` `unpow-prod-down_binary64_1521`
11×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
9×	`pow1_binary64_1503`
8×	`associate--l+_binary64_1379` `add-log-exp_binary64_1481`
6×	`sub-neg_binary64_1435`
5×	`distribute-lft-out_binary64_1393`
4×	`unpow2_binary64_1507` `associate-/l*_binary64_1387` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`associate-r_binary64_1382` `associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`associate-*r/_binary64_1384` `sum-log_binary64_1533` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `+-commutative_binary64_1372`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `flip3--_binary64_1446` `associate-l_binary64_1383` `*-commutative_binary64_1373` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

4 → 127

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))
17.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series2.1s (36.6%)

Counts

4 → 12

Calls

4 calls:

933.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3))
655.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6) (pow.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) 3)) (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2))))))
476.0ms	(+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 4) (.f64 4 (.f64 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a))) (-.f64 (.f64 4 (+.f64 (.f64 (.f64 b b) (-.f64 1 (.f64 3 a))) (.f64 (.f64 a a) (+.f64 1 a)))) (pow.f64 (+.f64 (.f64 b b) (*.f64 a a)) 2)))))
35.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

simplify135.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4953	12269
1	4953	12269

prune747.0ms (13%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

0.0b

Counts

141 → 2

Compiler

Compiled 16604 to 8669 computations (47.8% saved)

regimes184.0ms (3.2%)

Accuracy

Total 0.0b remaining (62.3%)

Threshold costs 0.0b (62.3%)

Compiler

Compiled 2897 to 1853 computations (36% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	58
1	79	58

end0.0ms (0%)

sample1.1s (18.8%)

Algorithm

1×

intervals

Results

525.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 547 to 355 computations (35.1% saved)

Details

analyze126.0ms (2.2%)

sample28.0ms (0.5%)

simplify146.0ms (2.5%)

prune3.0ms (0.1%)

localize16.0ms (0.3%)

rewrite41.0ms (0.7%)

series174.0ms (3%)

simplify43.0ms (0.8%)

prune145.0ms (2.5%)

localize21.0ms (0.4%)

rewrite73.0ms (1.3%)

series162.0ms (2.8%)

simplify84.0ms (1.5%)

prune304.0ms (5.3%)

localize32.0ms (0.6%)

rewrite97.0ms (1.7%)

series2.1s (36.6%)

simplify135.0ms (2.3%)

prune747.0ms (13%)

regimes184.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (18.8%)

Profiling