Details

analyze1.1s (10.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample85.0ms (0.8%)

Algorithm

1×

intervals

Results

20.0ms	42×	body	1280	valid
12.0ms	157×	body	80	valid
9.0ms	25×	body	640	valid
9.0ms	66×	body	80	nan
9.0ms	11×	body	2560	valid
4.0ms	16×	body	320	valid
2.0ms	28×	body	80	invalid
1.0ms	5×	body	160	valid

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune10.0ms (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

Merged error: 18.1b

Counts

2 → 1

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3.0))
0.3b	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
0.4b	(/.f64 (*.f64 z t) 3.0)
22.0b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`times-frac_binary64`
5×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/l_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-r_binary64` `cos-diff_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`sub-neg_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `cos-sum_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

9.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
6.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))
5.0ms	(/.f64 (*.f64 z t) 3.0)
5.0ms	(/.f64 a (*.f64 b 3.0))

series63.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (.f64 2.0 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0))))
13.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3.0)))
5.0ms	(/.f64 (*.f64 z t) 3.0)
4.0ms	(/.f64 a (*.f64 b 3.0))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune249.0ms (2.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	64	19	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	19	84

Merged error: 13.9b

Counts

84 → 19

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 z t) 3.0)
2.6b	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
25.9b	(sin.f64 (/.f64 (*.f64 z t) 3.0))
26.1b	(cos.f64 (/.f64 (*.f64 z t) 3.0))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow-prod-down_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `sin-mult_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

10.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
5.0ms	(/.f64 (*.f64 z t) 3.0)
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))
2.0ms	(sin.f64 (/.f64 (*.f64 z t) 3.0))

series63.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 z t) 3.0))) (.f64 2.0 (sqrt.f64 x)))
5.0ms	(sin.f64 (/.f64 (*.f64 z t) 3.0))
5.0ms	(/.f64 (*.f64 z t) 3.0)
4.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4985	686
1	4985	686

prune262.0ms (2.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	65	24	89

Merged error: 13.5b

Counts

89 → 24

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (*.f64 z t) 3.0)
2.6b	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
26.1b	(cos.f64 (/.f64 (*.f64 z t) 3.0))
26.1b	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`pow-prod-down_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `sin-mult_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

11.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
5.0ms	(/.f64 (*.f64 z t) 3.0)
4.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))
2.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))

series101.0ms (1%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 (.f64 (sin.f64 y) (sin.f64 (/.f64 (.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))) (.f64 2.0 (sqrt.f64 x)))
14.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))
6.0ms	(cos.f64 (/.f64 (*.f64 z t) 3.0))
5.0ms	(/.f64 (*.f64 z t) 3.0)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	686
1	4977	686

prune285.0ms (2.8%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	1	22	23
Picked	1	0	1
Done	0	0	0
Total	66	28	94

Merged error: 13.5b

Counts

94 → 28

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

14.4b	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
14.4b	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
26.1b	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))
26.1b	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
2×	`cbrt-div_binary64` `associate-*r/_binary64` `pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 34

Calls

4 calls:

5.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))
4.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
4.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
3.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))

series68.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
21.0ms	(cbrt.f64 (*.f64 t (/.f64 z 3.0)))
14.0ms	(sin.f64 (/.f64 (*.f64 t (/.f64 z (sqrt.f64 3.0))) (sqrt.f64 3.0)))
11.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (.f64 t (/.f64 z 3.0))) (cbrt.f64 (.f64 t (/.f64 z 3.0)))) (cbrt.f64 (*.f64 t (/.f64 z 3.0)))))

simplify124.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	4782	322
1	4782	322

prune106.0ms (1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	1	26	27
Picked	1	0	1
Done	0	0	0
Total	43	31	74

Merged error: 13.4b

Counts

74 → 31

regimes4.6s (45%)

Accuracy

Total 1.8b remaining (9.9%)

Threshold costs 0b (0%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	86
1	117	86

end0.0ms (0%)

sample2.6s (26.1%)

Algorithm

1×

intervals

Results

774.0ms	1569×	body	1280	valid
358.0ms	4419×	body	80	valid
339.0ms	961×	body	640	valid
308.0ms	381×	body	2560	valid
178.0ms	2213×	body	80	nan
121.0ms	472×	body	320	valid
87.0ms	1087×	body	80	invalid
38.0ms	198×	body	160	valid

Details

analyze1.1s (10.9%)

sample85.0ms (0.8%)

simplify42.0ms (0.4%)

prune10.0ms (0.1%)

localize16.0ms (0.2%)

rewrite27.0ms (0.3%)

series63.0ms (0.6%)

simplify47.0ms (0.5%)

prune249.0ms (2.5%)

localize26.0ms (0.3%)

rewrite21.0ms (0.2%)

series63.0ms (0.6%)

simplify52.0ms (0.5%)

prune262.0ms (2.6%)

localize31.0ms (0.3%)

rewrite24.0ms (0.2%)

series101.0ms (1%)

simplify61.0ms (0.6%)

prune285.0ms (2.8%)

localize35.0ms (0.3%)

rewrite17.0ms (0.2%)

series68.0ms (0.7%)

simplify124.0ms (1.2%)

prune106.0ms (1%)

regimes4.6s (45%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.6s (26.1%)

Profiling