Details

analyze696.0ms (16.6%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
6.2%	79.6%	14.2%	8
7.8%	75.7%	16.5%	9
11.7%	68.6%	19.6%	10
20.3%	49.3%	30.4%	11
22.2%	44.4%	33.4%	12
25.2%	37.3%	37.5%	13
28%	27.3%	44.7%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.5s (36.6%)

Results

985.0ms	8256×	body	128	valid
471.0ms	4454×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify86.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1052×	`fma-def_binary64`
423×	`fabs-mul_binary64`
333×	`distribute-rgt-in_binary64`
319×	`div-sub_binary64`
307×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	19	12
2	45	12
3	105	12
4	219	12
5	360	12
6	617	12
7	1698	12
8	2037	12
9	2629	12
10	3437	12
11	3909	12
12	4557	12
13	5039	12

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

7.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	7.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series86.0ms (2.1%)

Counts

2 → 60

Calls

2 calls:

57.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
28.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
13×	`associate-r_binary64`
13×	`times-frac_binary64`

Counts

2 → 64

Calls

2 calls:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
4.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

860×	`times-frac_binary64`
530×	`fma-def_binary64`
444×	`associate-l_binary64`
362×	`associate-r_binary64`
348×	`associate-/r/_binary64`

Counts

124 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	2288
1	432	2019
2	1488	2017
3	4433	2011
4	4988	2011

prune75.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	8	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	8	121

Error

0.0b

Counts

121 → 8

Alt Table

Status	Error	Program
	32.5b	(/.f64 (*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x))) z)
	37.0b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 z)) (/.f64 (/.f64 y x) (sqrt.f64 z)))
	8.4b	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
	7.6b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
▶	6.7b	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
	8.7b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
	35.0b	(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
	38.2b	(cbrt.f64 (pow.f64 (.f64 (/.f64 y (.f64 z x)) (cosh.f64 x)) 3))

Compiler

Compiled 1985 to 661 computations (66.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
✓	6.2b	(/.f64 y (*.f64 z x))

series72.0ms (1.7%)

Counts

2 → 36

Calls

2 calls:

57.0ms	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
15.0ms	(/.f64 y (*.f64 z x))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`

Counts

2 → 54

Calls

2 calls:

11.0ms	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
3.0ms	(/.f64 y (*.f64 z x))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

807×	`times-frac_binary64`
523×	`associate-*r/_binary64`
521×	`associate-*l/_binary64`
483×	`associate-/l*_binary64`
396×	`associate-/r*_binary64`

Counts

90 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1642
1	321	1429
2	1080	1427
3	4803	1427
4	5068	1427

prune68.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Error

0.0b

Counts

97 → 7

Alt Table

Status	Error	Program
	8.4b	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
▶	7.6b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
✓	6.7b	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
	8.4b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 y z) x))
	35.0b	(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
	31.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
	38.2b	(cbrt.f64 (pow.f64 (.f64 (/.f64 y (.f64 z x)) (cosh.f64 x)) 3))

Compiler

Compiled 1479 to 438 computations (70.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	7.2b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

series58.0ms (1.4%)

Counts

1 → 36

Calls

1 calls:

58.0ms

(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
20×	`prod-exp_binary64`
13×	`associate-r_binary64`
10×	`cbrt-unprod_binary64`

Counts

1 → 52

Calls

1 calls:

8.0ms

(*.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

simplify76.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

516×	`fma-def_binary64`
472×	`associate-/l*_binary64`
335×	`*-commutative_binary64`
276×	`times-frac_binary64`
185×	`log-div_binary64`

Counts

88 → 85

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	144	1733
1	368	1486
2	1148	1486
3	2898	1486
4	4417	1486
5	4986	1486

prune71.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	152	6	158

Error

0.0b

Counts

158 → 6

Alt Table

Status	Error	Program
	8.4b	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	8.4b	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
✓	6.7b	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
	35.0b	(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
	31.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
▶	7.6b	(.f64 (/.f64 (.f64 y (cosh.f64 x)) x) (/.f64 1 z))

Compiler

Compiled 2644 to 1028 computations (61.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (cosh.f64 x))
✓	0.0b	(/.f64 (*.f64 y (cosh.f64 x)) x)
✓	7.2b	(.f64 (/.f64 (.f64 y (cosh.f64 x)) x) (/.f64 1 z))

series137.0ms (3.3%)

Counts

3 → 84

Calls

3 calls:

58.0ms	(.f64 (/.f64 (.f64 y (cosh.f64 x)) x) (/.f64 1 z))
58.0ms	(/.f64 (*.f64 y (cosh.f64 x)) x)
21.0ms	(*.f64 y (cosh.f64 x))

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-exp-log_binary64`
31×	`add-cbrt-cube_binary64`
25×	`add-sqr-sqrt_binary64`
18×	`prod-exp_binary64`
17×	`times-frac_binary64`

Counts

3 → 101

Calls

3 calls:

8.0ms	(.f64 (/.f64 (.f64 y (cosh.f64 x)) x) (/.f64 1 z))
4.0ms	(*.f64 y (cosh.f64 x))
3.0ms	(/.f64 (*.f64 y (cosh.f64 x)) x)

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

908×	`fma-def_binary64`
466×	`associate-/r*_binary64`
395×	`*-commutative_binary64`
389×	`associate-/r/_binary64`
183×	`associate-l_binary64`

Counts

185 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	213	3192
1	523	2821
2	1826	2817
3	3584	2805
4	4876	2805
5	4988	2805

prune84.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	178	6	184

Error

0.0b

Counts

184 → 6

Alt Table

Status	Error	Program
	8.4b	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
	8.4b	(/.f64 (cosh.f64 x) (/.f64 z (/.f64 y x)))
✓	6.7b	(.f64 (cosh.f64 x) (/.f64 y (.f64 z x)))
	35.0b	(.f64 (sqrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (sqrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
	31.5b	(.f64 (cosh.f64 x) (.f64 (/.f64 (sqrt.f64 y) z) (/.f64 (sqrt.f64 y) x)))
✓	7.6b	(.f64 (/.f64 (.f64 y (cosh.f64 x)) x) (/.f64 1 z))

Compiler

Compiled 3009 to 1191 computations (60.4% saved)

regimes665.0ms (15.9%)

Accuracy

Total 0.6b remaining (90.2%)

Threshold costs 0.6b (90.2%)

Counts

68 → 3

Compiler

Compiled 5508 to 3354 computations (39.1% saved)

bsearch48.0ms (1.1%)

Steps

Iters	Range		Point
7	2.313577545204143e-80	4.122754992361958e-78	4.059182059916974e-78
4	-1.3145675765204758e+44	-8.243261777823165e+43	-1.0530308442249753e+44

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	66
1	33	66
2	33	66

end78.0ms (1.9%)

Compiler: Compiled 179 to 100 computations (44.1% saved)

Details

analyze696.0ms (16.6%)

sample1.5s (36.6%)

simplify86.0ms (2.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series86.0ms (2.1%)

rewrite12.0ms (0.3%)

simplify76.0ms (1.8%)

prune75.0ms (1.8%)

localize5.0ms (0.1%)

series72.0ms (1.7%)

rewrite16.0ms (0.4%)

simplify69.0ms (1.6%)

prune68.0ms (1.6%)

localize6.0ms (0.2%)

series58.0ms (1.4%)

rewrite13.0ms (0.3%)

simplify76.0ms (1.8%)

prune71.0ms (1.7%)

localize7.0ms (0.2%)

series137.0ms (3.3%)

rewrite20.0ms (0.5%)

simplify119.0ms (2.8%)

prune84.0ms (2%)

regimes665.0ms (15.9%)

bsearch48.0ms (1.1%)

simplify3.0ms (0.1%)

end78.0ms (1.9%)

Profiling