Details

analyze464.0ms (9.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample60.0ms (1.2%)

Algorithm

1×

intervals

Results

14.0ms	67×	body	1024	valid
10.0ms	52×	body	1024	invalid
7.0ms	151×	body	128	valid
4.0ms	32×	body	512	invalid
3.0ms	71×	body	128	invalid
3.0ms	17×	body	512	valid
2.0ms	21×	body	256	valid
1.0ms	16×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5030	11

prune2.0ms (0%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sinh.f64 y)

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_5556`
13×	`associate-r_binary64_5474`
10×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534` `times-frac_binary64_5540`
7×	`add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
4×	`pow1_binary64_5595`
3×	`associate-l_binary64_5475`
2×	`add-log-exp_binary64_5573` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `unswap-sqr_binary64_5502`
1×	`sinh-def_binary64_5719` `pow-prod-down_binary64_5605` `div-exp_binary64_5585` `cbrt-undiv_binary64_5568` `associate-r/_binary64_5476` `div-inv_binary64_5531` `-commutative_binary64_5465`

Counts

2 → 40

Calls

2 calls:

12.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 565 to 153 computations (72.9% saved)

series269.0ms (5.6%)

Error

0.0b

Counts

2 → 16

Calls

2 calls:

209.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
43.0ms	(sinh.f64 y)

Compiler

Compiled 694 to 481 computations (30.7% saved)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5002	838

prune44.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	2	57

Error

Counts

57 → 2

Compiler

Compiled 766 to 254 computations (66.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
0.1b	(*.f64 1/120 (pow.f64 y 4))
0.2b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
0.2b	(.f64 1/6 (.f64 y y))

rewrite128.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-sqr-sqrt_binary64_5556`
16×	`add-exp-log_binary64_5572`
13×	`add-cbrt-cube_binary64_5570`
11×	`pow1_binary64_5595` `associate-r_binary64_5474`
10×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
9×	`associate-l_binary64_5475`
7×	`prod-exp_binary64_5583`
6×	`add-log-exp_binary64_5573`
5×	`cbrt-unprod_binary64_5567` `unswap-sqr_binary64_5502`
4×	`pow-prod-down_binary64_5605` `unpow-prod-down_binary64_5613`
3×	`*-commutative_binary64_5465`
2×	`flip3-+_binary64_5537` `associate-*r/_binary64_5476` `flip-+_binary64_5508` `sqr-pow_binary64_5506`
1×	`distribute-rgt-in_binary64_5484` `distribute-lft-in_binary64_5483` `pow-to-exp_binary64_5603` `pow-exp_binary64_5602` `sum-log_binary64_5625` `+-commutative_binary64_5464`

Counts

4 → 77

Calls

4 calls:

11.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
7.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
6.0ms	(.f64 1/6 (.f64 y y))
6.0ms	(*.f64 1/120 (pow.f64 y 4))

Compiler

Compiled 1978 to 1182 computations (40.2% saved)

series363.0ms (7.5%)

Error

Counts

4 → 22

Calls

4 calls:

210.0ms	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/120 (pow.f64 y 4))))
75.0ms	(+.f64 (.f64 1/6 (.f64 y y)) (*.f64 1/120 (pow.f64 y 4)))
30.0ms	(*.f64 1/120 (pow.f64 y 4))
27.0ms	(.f64 1/6 (.f64 y y))

Compiler

Compiled 1039 to 768 computations (26.1% saved)

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4932	1484
1	4932	1484

prune103.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	99	2	101

Error

Counts

101 → 2

Compiler

Compiled 2124 to 1239 computations (41.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.1b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))

rewrite254.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`add-exp-log_binary64_5572`
17×	`add-cbrt-cube_binary64_5570`
16×	`associate-r_binary64_5474`
14×	`add-sqr-sqrt_binary64_5556`
13×	`prod-exp_binary64_5583`
12×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
10×	`pow1_binary64_5595`
9×	`times-frac_binary64_5540`
7×	`cbrt-unprod_binary64_5567`
4×	`pow-prod-down_binary64_5605` `div-exp_binary64_5585` `sinh-def_binary64_5719` `associate-r/_binary64_5476` `associate-l*_binary64_5475`
3×	`add-log-exp_binary64_5573`
2×	`1-exp_binary64_5578` `rec-exp_binary64_5584` `cbrt-undiv_binary64_5568` `*-commutative_binary64_5465`
1×	`frac-times_binary64_5544` `un-div-inv_binary64_5532` `associate-*l/_binary64_5477` `div-inv_binary64_5531` `unswap-sqr_binary64_5502`

Counts

3 → 67

Calls

3 calls:

10.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

Compiler

Compiled 1037 to 432 computations (58.3% saved)

series426.0ms (8.8%)

Error

Counts

3 → 26

Calls

3 calls:

200.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
158.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
46.0ms	(sinh.f64 y)

Compiler

Compiled 1239 to 861 computations (30.5% saved)

simplify58.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5115	1344

prune58.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Error

Counts

95 → 2

Compiler

Compiled 1259 to 499 computations (60.4% saved)

regimes120.0ms (2.5%)

Accuracy

Total 0.0b remaining (28.4%)

Threshold costs 0.0b (28.4%)

Compiler

Compiled 815 to 659 computations (19.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.2s (45.8%)

Algorithm

1×

intervals

Results

409.0ms	1987×	body	1024	valid
389.0ms	1972×	body	1024	invalid
214.0ms	4503×	body	128	valid
139.0ms	970×	body	512	valid
137.0ms	977×	body	512	invalid
127.0ms	2548×	body	128	invalid
49.0ms	533×	body	256	valid
47.0ms	522×	body	256	invalid
3.0ms	7×	body	2048	valid

Compiler

Compiled 172 to 140 computations (18.6% saved)

Details

analyze464.0ms (9.6%)

sample60.0ms (1.2%)

simplify57.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite42.0ms (0.9%)

series269.0ms (5.6%)

simplify52.0ms (1.1%)

prune44.0ms (0.9%)

localize11.0ms (0.2%)

rewrite128.0ms (2.6%)

series363.0ms (7.5%)

simplify89.0ms (1.8%)

prune103.0ms (2.1%)

localize7.0ms (0.1%)

rewrite254.0ms (5.3%)

series426.0ms (8.8%)

simplify58.0ms (1.2%)

prune58.0ms (1.2%)

regimes120.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (45.8%)

Profiling