Details

analyze486.0ms (7%)

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 (54.7%)

Results

1.2s	2177×	body	1024	valid
959.0ms	1976×	body	1024	invalid
577.0ms	4516×	body	128	valid
335.0ms	1055×	body	512	invalid
324.0ms	1062×	body	512	valid
115.0ms	522×	body	256	invalid
110.0ms	496×	body	256	valid
95.0ms	746×	body	128	invalid
6.0ms	5×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify91.0ms (1.3%)

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 3 expressions with local error:

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

series39.0ms (0.6%)

Counts

3 → 32

Calls

3 calls:

34.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)
2.0ms	(sin.f64 y)

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

8.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(sin.f64 y)

simplify96.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-l_binary64`
390×	`associate-*l/_binary64`
354×	`associate-*r/_binary64`
345×	`fma-def_binary64`
338×	`associate-/l*_binary64`

Counts

106 → 135

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1789
1	468	1652
2	1485	1630
3	4437	1629
4	4841	1629
5	4955	1629

prune120.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	127	8	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	8	136

Error

Counts

136 → 8

Alt Table

Status	Error	Program
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	0.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
	22.1b	(.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y))) y))
	17.1b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	30.1b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	32.0b	(.f64 (.f64 (cosh.f64 x) (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (sqrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))

Compiler

Compiled 2332 to 829 computations (64.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series47.0ms (0.7%)

Counts

3 → 40

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
12.0ms	(/.f64 y (sin.f64 y))
3.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 184

Calls

3 calls:

11.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify122.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
490×	`associate-*l/_binary64`
467×	`times-frac_binary64`
388×	`associate-/l*_binary64`
307×	`associate-/r/_binary64`

Counts

224 → 298

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	3821
1	543	3411
2	1706	3085
3	4404	3081
4	4975	3081

prune216.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	313	2	315
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	316	7	323

Error

Counts

323 → 7

Alt Table

Status	Error	Program
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	30.1b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	1.4b	(.f64 (.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))))
	0.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
	22.1b	(.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y))) y))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))

Compiler

Compiled 5779 to 2267 computations (60.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series37.0ms (0.5%)

Counts

3 → 40

Calls

3 calls:

30.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
5.0ms	(/.f64 1 (sin.f64 y))
3.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite116.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

854×	`times-frac_binary64`
426×	`add-sqr-sqrt_binary64`
397×	`*-un-lft-identity_binary64`
391×	`add-cube-cbrt_binary64`
174×	`associate-r_binary64`

Counts

3 → 485

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
8.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
2.0ms	(/.f64 1 (sin.f64 y))

simplify324.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

439×	`associate-/r*_binary64`
435×	`associate-/r/_binary64`
410×	`fma-def_binary64`
377×	`fma-neg_binary64`
192×	`*-commutative_binary64`

Counts

525 → 654

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	301	10232
1	756	8911
2	2437	8771
3	4536	8770
4	4969	8770
5	4988	8770

prune453.0ms (6.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	671	0	671
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	671	7	678

Error

Counts

678 → 7

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	30.1b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	1.4b	(.f64 (.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))))
	0.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
	22.1b	(.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y))) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))

Compiler

Compiled 15725 to 8706 computations (44.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.1b	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
✓	0.1b	(expm1.f64 (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 y)))

series37.0ms (0.5%)

Counts

4 → 60

Calls

4 calls:

30.0ms	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
3.0ms	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
2.0ms	(expm1.f64 (sin.f64 y))
2.0ms	(log1p.f64 (expm1.f64 (sin.f64 y)))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
2.0ms	(/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y)
0.0ms	(expm1.f64 (sin.f64 y))
0.0ms	(log1p.f64 (expm1.f64 (sin.f64 y)))

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-def_binary64`
390×	`associate-*l/_binary64`
354×	`associate-*r/_binary64`
338×	`associate-/l*_binary64`
250×	`cancel-sign-sub-inv_binary64`

Counts

147 → 181

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2056
1	514	1902
2	1618	1869
3	4480	1861
4	4996	1861
5	4951	1861

prune103.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	181	7	188

Error

Counts

188 → 7

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (log1p.f64 (expm1.f64 (sin.f64 y))) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	30.1b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	1.4b	(.f64 (.f64 (cosh.f64 x) (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 1 (/.f64 y (cbrt.f64 (sin.f64 y)))))
	0.8b	(.f64 (cosh.f64 x) (.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
	22.1b	(.f64 (cosh.f64 x) (/.f64 (cbrt.f64 (.f64 (*.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y))) y))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))

Compiler

Compiled 3066 to 981 computations (68% saved)

regimes562.0ms (8.1%)

Accuracy

Total 0.1b remaining (71.7%)

Threshold costs 0.1b (71.7%)

Counts

115 → 1

Compiler

Compiled 10085 to 6790 computations (32.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	16	27
2	16	27

end91.0ms (1.3%)

Compiler: Compiled 148 to 90 computations (39.2% saved)

Details

analyze486.0ms (7%)

sample3.8s (54.7%)

simplify91.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series39.0ms (0.6%)

rewrite15.0ms (0.2%)

simplify96.0ms (1.4%)

prune120.0ms (1.7%)

localize7.0ms (0.1%)

series47.0ms (0.7%)

rewrite34.0ms (0.5%)

simplify122.0ms (1.8%)

prune216.0ms (3.1%)

localize8.0ms (0.1%)

series37.0ms (0.5%)

rewrite116.0ms (1.7%)

simplify324.0ms (4.7%)

prune453.0ms (6.5%)

localize8.0ms (0.1%)

series37.0ms (0.5%)

rewrite13.0ms (0.2%)

simplify109.0ms (1.6%)

prune103.0ms (1.5%)

regimes562.0ms (8.1%)

simplify2.0ms (0%)

end91.0ms (1.3%)

Profiling