Details

analyze276.0ms (8.5%)

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
0%	99.9%	0.1%	5
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

sample43.0ms (1.3%)

Algorithm

1×

intervals

Results

14.0ms	31×	body	1280	valid
11.0ms	188×	body	80	valid
5.0ms	17×	body	640	valid
3.0ms	16×	body	320	valid
1.0ms	4×	body	160	valid

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	226	9
1	226	9

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (cos.f64 y))
0.0b	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
0.2b	(*.f64 z (sin.f64 y))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`diff-log_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

3 → 43

Calls

3 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 x (cos.f64 y))

series35.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
11.0ms	(*.f64 z (sin.f64 y))
9.0ms	(+.f64 x (cos.f64 y))

simplify50.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5209	415

prune74.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series82.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
21.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)
19.0ms	(cbrt.f64 z)

simplify45.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune98.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series82.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
20.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))

simplify47.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4965	482
1	4965	482

prune144.0ms (4.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (+.f64 x (cos.f64 y))))
0.4b	(cbrt.f64 (+.f64 x (cos.f64 y)))
0.4b	(cbrt.f64 (+.f64 x (cos.f64 y)))
0.4b	(cbrt.f64 (+.f64 x (cos.f64 y)))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (+.f64 x (cos.f64 y))))
3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
3.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))

series151.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

46.0ms	(*.f64 (cbrt.f64 (+.f64 x (cos.f64 y))) (cbrt.f64 (+.f64 x (cos.f64 y))))
35.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
35.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))
35.0ms	(cbrt.f64 (+.f64 x (cos.f64 y)))

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4929	1228
1	4929	1228

prune108.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

regimes274.0ms (8.4%)

Accuracy

Total 0.7b remaining (96.7%)

Threshold costs 0.7b (96.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	22
1	40	22

end0.0ms (0%)

sample1.5s (47.4%)

Algorithm

1×

intervals

Results

662.0ms	1049×	body	1280	valid
336.0ms	5491×	body	80	valid
238.0ms	857×	body	640	valid
77.0ms	390×	body	320	valid
28.0ms	212×	body	160	valid
2.0ms	1×	body	2560	valid

Details

analyze276.0ms (8.5%)

sample43.0ms (1.3%)

simplify13.0ms (0.4%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite16.0ms (0.5%)

series35.0ms (1.1%)

simplify50.0ms (1.5%)

prune74.0ms (2.3%)

localize12.0ms (0.4%)

rewrite11.0ms (0.3%)

series82.0ms (2.5%)

simplify45.0ms (1.4%)

prune98.0ms (3%)

localize15.0ms (0.5%)

rewrite13.0ms (0.4%)

series82.0ms (2.5%)

simplify47.0ms (1.5%)

prune144.0ms (4.4%)

localize15.0ms (0.5%)

rewrite31.0ms (0.9%)

series151.0ms (4.6%)

simplify62.0ms (1.9%)

prune108.0ms (3.3%)

regimes274.0ms (8.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (47.4%)

Profiling