Details

analyze321.0ms (7.2%)

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
25%	74.9%	0.1%	4
37.4%	62.4%	0.1%	5
37.4%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.5%	34.3%	0.1%	8
65.5%	34.3%	0.1%	9
76.5%	23.4%	0.1%	10
81.9%	17.9%	0.1%	11
81.9%	17.9%	0.1%	12
87.8%	12.1%	0.1%	13
90.7%	9.2%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.2s (26.9%)

Results

1.1s

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify123.0ms (2.7%)

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

prune3.0ms (0.1%)

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

11.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	11.2b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
✓	8.5b	(*.f64 (cosh.f64 x) (/.f64 y x))

series190.0ms (4.3%)

Counts

2 → 60

Calls

2 calls:

125.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)
65.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))

rewrite28.0ms (0.6%)

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:

11.0ms	(*.f64 (cosh.f64 x) (/.f64 y x))
10.0ms	(/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)

simplify191.0ms (4.3%)

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 → 122

Iterations

Useful iterations: 3 (0.0ms)

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

prune169.0ms (3.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	116	6	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	6	123

Error

0.0b

Counts

123 → 6

Alt Table

Status	Error	Program
	39.0b	(.f64 (sqrt.f64 (.f64 (/.f64 y (.f64 x z)) (cosh.f64 x))) (sqrt.f64 (.f64 (/.f64 y (*.f64 x z)) (cosh.f64 x))))
	11.4b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
	15.2b	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
▶	2.0b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
	22.4b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z) (/.f64 (.f64 (cosh.f64 x) (/.f64 y x)) z)) (/.f64 (*.f64 (cosh.f64 x) (/.f64 y x)) z)))
	11.3b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

Compiler

Compiled 1960 to 626 computations (68.1% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)

series131.0ms (2.9%)

Counts

1 → 36

Calls

1 calls:

131.0ms

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

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`times-frac_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
10×	`add-cbrt-cube_binary64`

Counts

1 → 50

Calls

1 calls:

10.0ms

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

simplify116.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

483×	`associate-*l/_binary64`
449×	`associate-/r*_binary64`
365×	`associate-*r/_binary64`
363×	`associate-/r/_binary64`
311×	`associate-l_binary64`

Counts

86 → 92

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1859
1	400	1691
2	1235	1691
3	3830	1685
4	5040	1685

prune118.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Error

Counts

98 → 6

Alt Table

Status	Error	Program
	11.4b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
	15.2b	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
✓	2.0b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
▶	10.5b	(.f64 (/.f64 (.f64 (cosh.f64 x) y) 1) (/.f64 (/.f64 1 x) z))
	11.3b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
	25.8b	(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2)))

Compiler

Compiled 1649 to 475 computations (71.2% saved)

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 x) z)
✓	9.5b	(.f64 (/.f64 (.f64 (cosh.f64 x) y) 1) (/.f64 (/.f64 1 x) z))

series146.0ms (3.3%)

Counts

2 → 60

Calls

2 calls:

125.0ms	(.f64 (/.f64 (.f64 (cosh.f64 x) y) 1) (/.f64 (/.f64 1 x) z))
20.0ms	(/.f64 (/.f64 1 x) z)

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

149×	`times-frac_binary64`
106×	`add-exp-log_binary64`
93×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
81×	`add-cube-cbrt_binary64`

Counts

2 → 176

Calls

2 calls:

20.0ms	(.f64 (/.f64 (.f64 (cosh.f64 x) y) 1) (/.f64 (/.f64 1 x) z))
5.0ms	(/.f64 (/.f64 1 x) z)

simplify382.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

609×	`fma-def_binary64`
520×	`associate-/r/_binary64`
490×	`*-commutative_binary64`
481×	`associate-/r*_binary64`
227×	`associate-l_binary64`

Counts

236 → 258

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	214	4063
1	518	3596
2	1978	3584
3	3395	3584
4	4599	3584
5	4965	3584
6	4967	3584

prune282.0ms (6.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	258	0	258
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	258	6	264

Error

Counts

264 → 6

Alt Table

Status	Error	Program
	11.4b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
	15.2b	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
✓	2.0b	(/.f64 (/.f64 (*.f64 (cosh.f64 x) y) x) z)
✓	10.5b	(.f64 (/.f64 (.f64 (cosh.f64 x) y) 1) (/.f64 (/.f64 1 x) z))
▶	11.3b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
	25.8b	(.f64 (/.f64 y z) (+.f64 (/.f64 1 x) (.f64 x 1/2)))

Compiler

Compiled 5413 to 2647 computations (51.1% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))
	8.5b	(*.f64 (cosh.f64 x) (/.f64 y x))

series89.0ms (2%)

Counts

1 → 36

Calls

1 calls:

89.0ms

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

rewrite14.0ms (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:

9.0ms

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

simplify121.0ms (2.7%)

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

prune102.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	2	3
Picked	0	1	1
Done	2	0	2
Total	153	4	157

Error

Counts

157 → 4

Alt Table

Status	Error	Program
	11.4b	(/.f64 1 (/.f64 z (*.f64 (cosh.f64 x) (/.f64 y x))))
	15.2b	(.f64 (cosh.f64 x) (/.f64 y (.f64 x z)))
	3.1b	(/.f64 (/.f64 (*.f64 y (cosh.f64 x)) z) x)
✓	11.3b	(.f64 (.f64 (cosh.f64 x) (/.f64 y x)) (/.f64 1 z))

Compiler

Compiled 2537 to 971 computations (61.7% saved)

regimes537.0ms (12%)

Accuracy

Total 1.2b remaining (98.9%)

Threshold costs 0b (0%)

Counts

65 → 2

Compiler

Compiled 5455 to 3414 computations (37.4% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	18	38
2	18	38

end81.0ms (1.8%)

Compiler: Compiled 104 to 60 computations (42.3% saved)

Details

analyze321.0ms (7.2%)

sample1.2s (26.9%)

simplify123.0ms (2.7%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

series190.0ms (4.3%)

rewrite28.0ms (0.6%)

simplify191.0ms (4.3%)

prune169.0ms (3.8%)

localize11.0ms (0.2%)

series131.0ms (2.9%)

rewrite17.0ms (0.4%)

simplify116.0ms (2.6%)

prune118.0ms (2.6%)

localize17.0ms (0.4%)

series146.0ms (3.3%)

rewrite49.0ms (1.1%)

simplify382.0ms (8.6%)

prune282.0ms (6.3%)

localize14.0ms (0.3%)

series89.0ms (2%)

rewrite14.0ms (0.3%)

simplify121.0ms (2.7%)

prune102.0ms (2.3%)

regimes537.0ms (12%)

bsearch3.0ms (0.1%)

simplify4.0ms (0.1%)

end81.0ms (1.8%)

Profiling