Details

analyze40.0ms (1.3%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample1.7s (55%)

Infinites

50.4% of outputs are infinite.

Results

847.0ms	2081×	body	1024	valid
459.0ms	4572×	body	128	valid
261.0ms	1073×	body	512	valid
90.0ms	526×	body	256	valid
5.0ms	4×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
448×	`associate-/l*_binary64`
363×	`times-frac_binary64`
280×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	32	11
3	60	11
4	107	11
5	169	11
6	327	11
7	806	11
8	2101	11
9	2217	11
10	2592	11
11	4159	11
12	4537	11
13	4915	11
14	4955	11
15	4919	11

prune2.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series34.0ms (1.1%)

Counts

2 → 28

Calls

2 calls:

31.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

2 → 65

Calls

2 calls:

5.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-*l/_binary64`
364×	`associate-l_binary64`
347×	`associate-*r/_binary64`
318×	`associate-/l*_binary64`
316×	`associate-r_binary64`

Counts

93 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1673
1	422	1547
2	1344	1529
3	4419	1528
4	4958	1528
5	4996	1528
6	4961	1528

prune84.0ms (2.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Error

0.0b

Counts

119 → 5

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.6b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
	0.7b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	0.1b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 1995 to 659 computations (67% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series54.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
22.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

5.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
3.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary64`
687×	`associate-/l*_binary64`
593×	`fma-def_binary64`
301×	`associate-/l/_binary64`
222×	`cancel-sign-sub-inv_binary64`

Counts

93 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1891
1	487	1733
2	1662	1555
3	5012	1555

prune74.0ms (2.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	101	3	104
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Error

0.0b

Counts

109 → 3

Alt Table

Status	Error	Program
	8.3b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)) y)
	0.1b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
▶	0.1b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 1830 to 749 computations (59.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))

series38.0ms (1.2%)

Counts

2 → 28

Calls

2 calls:

31.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 102

Calls

2 calls:

5.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify119.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-def_binary64`
470×	`associate-/l/_binary64`
439×	`associate-/r/_binary64`
402×	`associate-/l*_binary64`
378×	`times-frac_binary64`

Counts

130 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	2824
1	555	2683
2	1702	2505
3	4312	2497
4	4984	2497
5	4975	2497

prune98.0ms (3.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	169	4	173

Error

Counts

173 → 4

Alt Table

Status	Error	Program
	8.3b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)) y)
	0.1b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
▶	0.1b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
✓	0.1b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 2935 to 821 computations (72% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
✓	0.0b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
✓	0.0b	(expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))
✓	0.1b	(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))

series89.0ms (2.8%)

Counts

3 → 72

Calls

3 calls:

35.0ms	(expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))
31.0ms	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
23.0ms	(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 51

Calls

3 calls:

2.0ms	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
1.0ms	(log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y))))
0.0ms	(expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))

simplify103.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

482×	`times-frac_binary64`
382×	`fma-neg_binary64`
310×	`cancel-sign-sub-inv_binary64`
283×	`fma-def_binary64`
168×	`associate-r_binary64`

Counts

123 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3034
1	752	2857
2	2584	2712
3	4752	2654
4	4964	2654

prune126.0ms (3.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	188	4	192

Error

Counts

192 → 4

Alt Table

Status	Error	Program
	8.3b	(/.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) 3)) y)
	0.1b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
✓	0.1b	(/.f64 (log1p.f64 (expm1.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
✓	0.1b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 4133 to 1739 computations (57.9% saved)

regimes189.0ms (5.9%)

Accuracy

Total 0.0b remaining (52.5%)

Threshold costs 0.0b (52.5%)

Counts

45 → 1

Compiler

Compiled 3026 to 1937 computations (36% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end63.0ms (2%)

Compiler: Compiled 61 to 43 computations (29.5% saved)

Details

analyze40.0ms (1.3%)

sample1.7s (55%)

simplify89.0ms (2.8%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

series34.0ms (1.1%)

rewrite12.0ms (0.4%)

simplify106.0ms (3.3%)

prune84.0ms (2.6%)

localize6.0ms (0.2%)

series54.0ms (1.7%)

rewrite9.0ms (0.3%)

simplify55.0ms (1.7%)

prune74.0ms (2.3%)

localize6.0ms (0.2%)

series38.0ms (1.2%)

rewrite14.0ms (0.4%)

simplify119.0ms (3.7%)

prune98.0ms (3.1%)

localize8.0ms (0.2%)

series89.0ms (2.8%)

rewrite5.0ms (0.2%)

simplify103.0ms (3.2%)

prune126.0ms (3.9%)

regimes189.0ms (5.9%)

simplify2.0ms (0.1%)

end63.0ms (2%)

Profiling