Details

analyze571.0ms (9.6%)

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)

sample1.4s (23.1%)

Results

816.0ms	8256×	body	128	valid
472.0ms	4522×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify86.0ms (1.5%)

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

prune1.0ms (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

6.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.5b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 y x))
✓	6.1b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

series130.0ms (2.2%)

Counts

2 → 60

Calls

2 calls:

101.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
29.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

rewrite16.0ms (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)

simplify79.0ms (1.3%)

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

prune96.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	9	121

Error

0.0b

Counts

121 → 9

Alt Table

Status	Error	Program
	7.4b	(/.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z))) (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
▶	6.2b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	7.3b	(/.f64 (.f64 (.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (/.f64 y x)) (cbrt.f64 (/.f64 y x)))) (cbrt.f64 (/.f64 y x))) z)
	6.6b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
	6.9b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
	7.5b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (/.f64 y x) (cbrt.f64 z)))
	6.5b	(/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z)
	7.5b	(/.f64 (.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y x)) (cbrt.f64 z))

Compiler

Compiled 2071 to 691 computations (66.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) y)
✓	5.9b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))

series103.0ms (1.7%)

Counts

2 → 60

Calls

2 calls:

82.0ms	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
21.0ms	(*.f64 (cosh.f64 x) y)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`cbrt-unprod_binary64`
5×	`prod-exp_binary64`

Counts

2 → 45

Calls

2 calls:

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

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

762×	`associate-/r*_binary64`
579×	`associate-*l/_binary64`
459×	`associate-*r/_binary64`
387×	`associate-/l/_binary64`
276×	`fma-def_binary64`

Counts

105 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1888
1	360	1647
2	1391	1642
3	4701	1636
4	4976	1636

prune54.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	89	9	98

Error

0.0b

Counts

98 → 9

Alt Table

Status	Error	Program
	7.1b	(.f64 (.f64 (cosh.f64 x) y) (/.f64 1 (*.f64 z x)))
	6.5b	(/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z)
	7.4b	(/.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
	7.5b	(.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (cbrt.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z))) (cbrt.f64 (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
✓	6.2b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	7.1b	(/.f64 (.f64 (.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)) (.f64 z x))
	6.6b	(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) y) x)
▶	6.4b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
	7.5b	(/.f64 (.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y x)) (cbrt.f64 z))

Compiler

Compiled 1578 to 546 computations (65.4% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 (cosh.f64 x) y) z)
	0.0b	(*.f64 (cosh.f64 x) y)
✓	6.4b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)

series104.0ms (1.8%)

Counts

2 → 72

Calls

2 calls:

57.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
47.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
16×	`add-cbrt-cube_binary64`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
3.0ms	(/.f64 (*.f64 (cosh.f64 x) y) z)

simplify114.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-/r*_binary64`
510×	`associate-*l/_binary64`
475×	`fma-def_binary64`
403×	`associate-/r/_binary64`
382×	`associate-l_binary64`

Counts

146 → 142

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	2888
1	486	2629
2	1433	2625
3	4408	2625
4	4960	2625
5	4982	2625

prune112.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	184	9	193

Error

Counts

193 → 9

Alt Table

Status	Error	Program
	37.5b	(.f64 (/.f64 (.f64 (cosh.f64 x) y) (sqrt.f64 x)) (/.f64 (/.f64 1 z) (sqrt.f64 x)))
	6.5b	(/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z)
	7.4b	(/.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
✓	6.2b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	6.2b	(/.f64 (*.f64 (cosh.f64 x) y) (/.f64 x (/.f64 1 z)))
▶	2.8b	(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x)))
	6.6b	(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) y) x)
✓	6.4b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
	37.0b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 (/.f64 y z) (sqrt.f64 x)))

Compiler

Compiled 3056 to 957 computations (68.7% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x)))
✓	0.6b	(cbrt.f64 z)
✓	0.7b	(cbrt.f64 x)
✓	1.9b	(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x))

series904.0ms (15.2%)

Counts

4 → 96

Calls

4 calls:

758.0ms	(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x))
88.0ms	(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x)))
30.0ms	(cbrt.f64 x)
28.0ms	(cbrt.f64 z)

rewrite149.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

559×	`times-frac_binary64`
341×	`add-sqr-sqrt_binary64`
273×	`cbrt-prod_binary64`
269×	`*-un-lft-identity_binary64`
269×	`add-cube-cbrt_binary64`

Counts

4 → 427

Calls

4 calls:

58.0ms	(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x)))
9.0ms	(/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 z)

simplify285.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

500×	`associate-/l*_binary64`
486×	`associate-/r*_binary64`
470×	`associate-/l/_binary64`
380×	`times-frac_binary64`
342×	`associate-l_binary64`

Counts

523 → 659

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	573	17502
1	1582	13277
2	5191	13277

prune308.0ms (5.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	727	0	727
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	727	9	736

Error

Counts

736 → 9

Alt Table

Status	Error	Program
	37.5b	(.f64 (/.f64 (.f64 (cosh.f64 x) y) (sqrt.f64 x)) (/.f64 (/.f64 1 z) (sqrt.f64 x)))
	6.5b	(/.f64 (/.f64 (fma.f64 y (exp.f64 x) (/.f64 y (exp.f64 x))) (*.f64 x 2)) z)
	7.4b	(/.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))
✓	6.2b	(/.f64 (.f64 (cosh.f64 x) y) (.f64 z x))
	6.2b	(/.f64 (*.f64 (cosh.f64 x) y) (/.f64 x (/.f64 1 z)))
✓	2.8b	(.f64 (/.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 y (cbrt.f64 z)) (cbrt.f64 x)))
	6.6b	(/.f64 (*.f64 (/.f64 (cosh.f64 x) z) y) x)
✓	6.4b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) z) x)
	37.0b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 x)) (/.f64 (/.f64 y z) (sqrt.f64 x)))

Compiler

Compiled 24265 to 4111 computations (83.1% saved)

regimes1.2s (20.3%)

Accuracy

Total 0.5b remaining (89.6%)

Threshold costs 0.5b (89.6%)

Counts

146 → 3

Compiler

Compiled 12627 to 7601 computations (39.8% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	79
1	36	79
2	35	79

end110.0ms (1.9%)

Compiler: Compiled 248 to 135 computations (45.6% saved)

Details

analyze571.0ms (9.6%)

sample1.4s (23.1%)

simplify86.0ms (1.5%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series130.0ms (2.2%)

rewrite16.0ms (0.3%)

simplify79.0ms (1.3%)

prune96.0ms (1.6%)

localize5.0ms (0.1%)

series103.0ms (1.7%)

rewrite9.0ms (0.2%)

simplify70.0ms (1.2%)

prune54.0ms (0.9%)

localize5.0ms (0.1%)

series104.0ms (1.8%)

rewrite17.0ms (0.3%)

simplify114.0ms (1.9%)

prune112.0ms (1.9%)

localize13.0ms (0.2%)

series904.0ms (15.2%)

rewrite149.0ms (2.5%)

simplify285.0ms (4.8%)

prune308.0ms (5.2%)

regimes1.2s (20.3%)

bsearch4.0ms (0.1%)

simplify3.0ms (0%)

end110.0ms (1.9%)

Profiling