Details

analyze40.0ms (0.7%)

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
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)

sample2.3s (40.3%)

Results

1.1s	2077×	body	1024	valid
625.0ms	4595×	body	128	valid
355.0ms	1064×	body	512	valid
122.0ms	519×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify117.0ms (2%)

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

prune3.0ms (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)

localize11.0ms (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)

series45.0ms (0.8%)

Counts

2 → 28

Calls

2 calls:

40.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

rewrite18.0ms (0.3%)

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:

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

simplify187.0ms (3.2%)

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

prune153.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	7	119

Error

0.0b

Counts

119 → 7

Alt Table

Status	Error	Program
	0.4b	(.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))))
	0.7b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
▶	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.6b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	30.9b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	0.5b	(.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))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 2070 to 693 computations (66.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

series35.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`

Counts

2 → 67

Calls

2 calls:

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

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

425×	`cancel-sign-sub-inv_binary64`
393×	`fma-neg_binary64`
325×	`fma-def_binary64`
319×	`sub-neg_binary64`
274×	`*-commutative_binary64`

Counts

103 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	1625
1	419	1445
2	1267	1427
3	3701	1426
4	4975	1426
5	4980	1426

prune255.0ms (4.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	8	128

Error

0.0b

Counts

128 → 8

Alt Table

Status	Error	Program
▶	0.4b	(.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))))
	0.7b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.6b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	20.4b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1 y))) (.f64 (sin.f64 y) (/.f64 1 y)))))
	30.9b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	0.5b	(.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))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 2212 to 1036 computations (53.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(.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 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.4b	(cbrt.f64 (/.f64 (sin.f64 y) y))

series572.0ms (9.8%)

Counts

3 → 36

Calls

3 calls:

318.0ms

(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))

235.0ms

(cbrt.f64 (/.f64 (sin.f64 y) y))

19.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`cbrt-prod_binary64`
78×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

3 → 160

Calls

3 calls:

14.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))

10.0ms

(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))

2.0ms

(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify198.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
279×	`fma-neg_binary64`
260×	`*-commutative_binary64`
205×	`times-frac_binary64`
197×	`associate-/l*_binary64`

Counts

196 → 244

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4254
1	439	3847
2	1271	3483
3	3319	3128
4	4747	3128
5	4959	3128

prune488.0ms (8.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	438	2	440
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	439	9	448

Error

Counts

448 → 9

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
	30.9b	(*.f64 (/.f64 (cosh.f64 x) (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	0.4b	(.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))))
	0.7b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.6b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	20.4b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1 y))) (.f64 (sin.f64 y) (/.f64 1 y)))))
	0.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 11823 to 2724 computations (77% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sin.f64 y)))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)
✓	0.7b	(cbrt.f64 (sin.f64 y))

series268.0ms (4.6%)

Counts

4 → 48

Calls

4 calls:

163.0ms	(cbrt.f64 (sin.f64 y))
39.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
36.0ms	(cbrt.f64 y)
30.0ms	(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sin.f64 y)))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
24×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
16×	`pow1_binary64`

Counts

4 → 93

Calls

4 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sin.f64 y)))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 y)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

752×	`fma-def_binary64`
685×	`unswap-sqr_binary64`
612×	`times-frac_binary64`
363×	`fma-neg_binary64`
314×	`*-commutative_binary64`

Counts

141 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1635
1	329	1449
2	1056	1350
3	2597	1325
4	4471	1325
5	4934	1325

prune177.0ms (3%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	187	9	196

Error

Counts

196 → 9

Alt Table

Status	Error	Program
	0.6b	(.f64 (cosh.f64 x) (/.f64 (.f64 (sin.f64 y) (cbrt.f64 (/.f64 1 y))) (*.f64 (cbrt.f64 y) (cbrt.f64 y))))
✓	0.4b	(.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))))
	0.7b	(.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y)))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	0.6b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	20.4b	(.f64 (cosh.f64 x) (cbrt.f64 (.f64 (.f64 (.f64 (sin.f64 y) (/.f64 1 y)) (.f64 (sin.f64 y) (/.f64 1 y))) (.f64 (sin.f64 y) (/.f64 1 y)))))
	0.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 y)))
✓	0.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 5191 to 1287 computations (75.2% saved)

regimes502.0ms (8.6%)

Accuracy

Total 0.0b remaining (79.6%)

Threshold costs 0.0b (79.6%)

Counts

85 → 1

Compiler

Compiled 12023 to 6419 computations (46.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	17	22
2	16	22

end110.0ms (1.9%)

Compiler: Compiled 192 to 116 computations (39.6% saved)

Details

analyze40.0ms (0.7%)

sample2.3s (40.3%)

simplify117.0ms (2%)

prune3.0ms (0%)

localize11.0ms (0.2%)

series45.0ms (0.8%)

rewrite18.0ms (0.3%)

simplify187.0ms (3.2%)

prune153.0ms (2.6%)

localize7.0ms (0.1%)

series35.0ms (0.6%)

rewrite20.0ms (0.3%)

simplify94.0ms (1.6%)

prune255.0ms (4.4%)

localize9.0ms (0.2%)

series572.0ms (9.8%)

rewrite40.0ms (0.7%)

simplify198.0ms (3.4%)

prune488.0ms (8.4%)

localize15.0ms (0.3%)

series268.0ms (4.6%)

rewrite18.0ms (0.3%)

simplify92.0ms (1.6%)

prune177.0ms (3%)

regimes502.0ms (8.6%)

simplify2.0ms (0%)

end110.0ms (1.9%)

Profiling