Details

analyze476.0ms (7.4%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (59.3%)

Results

1.2s	2091×	body	1024	valid
1.0s	2031×	body	1024	invalid
576.0ms	4611×	body	128	valid
333.0ms	1050×	body	512	valid
329.0ms	995×	body	512	invalid
115.0ms	497×	body	256	valid
104.0ms	459×	body	256	invalid
95.0ms	703×	body	128	invalid
7.0ms	7×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify94.0ms (1.5%)

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%)

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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

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)

series36.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

33.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite13.0ms (0.2%)

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)

simplify109.0ms (1.7%)

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

prune94.0ms (1.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Error

0.0b

Counts

119 → 8

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	1.5b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	20.8b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))
	1.3b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	17.4b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))

Compiler

Compiled 2095 to 711 computations (66.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series50.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

30.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
21.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

rewrite8.0ms (0.1%)

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:

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

simplify56.0ms (0.9%)

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

prune83.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	104	8	112

Error

0.0b

Counts

112 → 8

Alt Table

Status	Error	Program
	30.3b	(/.f64 (log.f64 (exp.f64 (*.f64 (cosh.f64 x) (sin.f64 y)))) y)
	20.8b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.3b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	17.4b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.3b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))

Compiler

Compiled 1969 to 823 computations (58.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

series41.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

35.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
6.0ms	(/.f64 y (sin.f64 y))

rewrite13.0ms (0.2%)

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))

simplify122.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Counts

130 → 169

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

prune150.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	166	3	169
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	168	9	177

Error

Counts

177 → 9

Alt Table

Status	Error	Program
	20.8b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))
	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.3b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	17.4b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
▶	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 3061 to 889 computations (71% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

series90.0ms (1.4%)

Counts

3 → 52

Calls

3 calls:

61.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
24.0ms	(/.f64 (cosh.f64 x) y)
5.0ms	(/.f64 1 (sin.f64 y))

rewrite46.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

439×	`times-frac_binary64`
215×	`*-un-lft-identity_binary64`
215×	`add-sqr-sqrt_binary64`
215×	`add-cube-cbrt_binary64`
31×	`div-inv_binary64`

Counts

3 → 284

Calls

3 calls:

8.0ms	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))
2.0ms	(/.f64 1 (sin.f64 y))
2.0ms	(/.f64 (cosh.f64 x) y)

simplify247.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-/r/_binary64`
441×	`associate-*r/_binary64`
386×	`fma-def_binary64`
303×	`associate-/l/_binary64`
300×	`sub-neg_binary64`

Counts

336 → 380

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	335	8238
1	852	7663
2	2464	7625
3	4505	7624
4	5024	7624

prune299.0ms (4.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	380	0	380
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	380	9	389

Error

Counts

389 → 9

Alt Table

Status	Error	Program
	20.8b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) (cosh.f64 x)) 3))
	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	1.3b	(.f64 (/.f64 (cosh.f64 x) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	17.4b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
	0.7b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
✓	0.2b	(/.f64 (/.f64 (cosh.f64 x) y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 8153 to 3137 computations (61.5% saved)

regimes454.0ms (7.1%)

Accuracy

Total 0.1b remaining (75.1%)

Threshold costs 0.1b (75.1%)

Counts

99 → 1

Compiler

Compiled 7620 to 4562 computations (40.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	10	15
2	10	15

end104.0ms (1.6%)

Compiler: Compiled 137 to 85 computations (38% saved)

Details

analyze476.0ms (7.4%)

sample3.8s (59.3%)

simplify94.0ms (1.5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series36.0ms (0.6%)

rewrite13.0ms (0.2%)

simplify109.0ms (1.7%)

prune94.0ms (1.5%)

localize5.0ms (0.1%)

series50.0ms (0.8%)

rewrite8.0ms (0.1%)

simplify56.0ms (0.9%)

prune83.0ms (1.3%)

localize5.0ms (0.1%)

series41.0ms (0.6%)

rewrite13.0ms (0.2%)

simplify122.0ms (1.9%)

prune150.0ms (2.3%)

localize7.0ms (0.1%)

series90.0ms (1.4%)

rewrite46.0ms (0.7%)

simplify247.0ms (3.8%)

prune299.0ms (4.7%)

regimes454.0ms (7.1%)

simplify2.0ms (0%)

end104.0ms (1.6%)

Profiling