Details

analyze363.0ms (12.6%)

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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample48.0ms (1.7%)

Algorithm

1×

intervals

Results

15.0ms	35×	body	1280	valid
11.0ms	173×	body	80	valid
9.0ms	34×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	4×	body	160	valid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	9
1	19	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: 0.0b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
0.1b	(*.f64 z (cos.f64 y))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

11.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))

series25.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

15.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
10.0ms	(*.f64 z (cos.f64 y))

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4958	304
1	4958	304

prune54.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

series121.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
29.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5057	440

prune88.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	6	74

Merged error: 0.0b

Counts

74 → 6

localize18.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

series109.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
27.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
26.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4970	308
1	4970	308

prune66.0ms (2.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (cos.f64 y) (sqrt.f64 z))
0.2b	(.f64 (sqrt.f64 z) (.f64 (cos.f64 y) (sqrt.f64 z)))

rewrite15.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

8.0ms	(.f64 (sqrt.f64 z) (.f64 (cos.f64 y) (sqrt.f64 z)))
6.0ms	(*.f64 (cos.f64 y) (sqrt.f64 z))

series24.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(*.f64 (cos.f64 y) (sqrt.f64 z))
11.0ms	(.f64 (sqrt.f64 z) (.f64 (cos.f64 y) (sqrt.f64 z)))

simplify38.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5005	351

prune50.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	48	7	55

Merged error: 0b

Counts

55 → 7

regimes243.0ms (8.4%)

Accuracy

Total 0.0b remaining (41.4%)

Threshold costs 0.0b (41.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms (0%)

sample1.4s (47.3%)

Algorithm

1×

intervals

Results

445.0ms	984×	body	1280	valid
355.0ms	5547×	body	80	valid
246.0ms	860×	body	640	valid
78.0ms	401×	body	320	valid
33.0ms	208×	body	160	valid

Details

analyze363.0ms (12.6%)

sample48.0ms (1.7%)

simplify5.0ms (0.2%)

prune6.0ms (0.2%)

localize9.0ms (0.3%)

rewrite16.0ms (0.6%)

series25.0ms (0.9%)

simplify62.0ms (2.1%)

prune54.0ms (1.9%)

localize13.0ms (0.4%)

rewrite15.0ms (0.5%)

series121.0ms (4.2%)

simplify47.0ms (1.6%)

prune88.0ms (3.1%)

localize18.0ms (0.6%)

rewrite12.0ms (0.4%)

series109.0ms (3.8%)

simplify55.0ms (1.9%)

prune66.0ms (2.3%)

localize11.0ms (0.4%)

rewrite15.0ms (0.5%)

series24.0ms (0.8%)

simplify38.0ms (1.3%)

prune50.0ms (1.7%)

regimes243.0ms (8.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (47.3%)

Profiling