Details

analyze46.0ms (0.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.0s (40.7%)

Results

813.0ms	1324×	body	1024	valid
735.0ms	5586×	body	128	valid
259.0ms	849×	body	512	valid
108.0ms	497×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Rules

694×	`fma-neg_binary64`
544×	`times-frac_binary64`
474×	`fma-def_binary64`
461×	`associate-/l*_binary64`
377×	`div-sub_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	37	11
3	76	11
4	166	11
5	390	11
6	1109	11
7	3717	11
8	4738	11
9	4947	11
10	4910	11

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

6.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	6.8b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	6.8b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series95.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

56.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
38.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite16.0ms (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:

7.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
6.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify129.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

978×	`times-frac_binary64`
681×	`fma-def_binary64`
235×	`cancel-sign-sub-inv_binary64`
207×	`fma-neg_binary64`
140×	`sub-neg_binary64`

Counts

93 → 97

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	1969
1	531	1817
2	1897	1623
3	4500	1616
4	5181	1616

prune112.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	7	98

Error

0.0b

Counts

98 → 7

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	52.8b	(fma.f64 1/12 (/.f64 (.f64 x x) (exp.f64 y)) (fma.f64 (exp.f64 y) (-.f64 1/2 (.f64 1/12 (*.f64 x x))) (/.f64 -1/2 (exp.f64 y))))
✓	6.8b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	7.1b	(/.f64 (.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (*.f64 (cbrt.f64 (sin.f64 x)) (sinh.f64 y))) x)
	7.1b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	31.1b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))

Compiler

Compiled 1915 to 842 computations (56% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series53.0ms (1.1%)

Counts

1 → 24

Calls

1 calls:

52.0ms

(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

1 → 34

Calls

1 calls:

9.0ms

(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

simplify109.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

581×	`fma-neg_binary64`
345×	`associate-l_binary64`
313×	`associate-r_binary64`
279×	`associate-/l*_binary64`
274×	`associate-*l/_binary64`

Counts

58 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1214
1	388	1113
2	1132	1103
3	4371	1097
4	4991	1097
5	4979	1097

prune65.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	2	5
Picked	0	1	1
Done	1	0	1
Total	78	5	83

Error

Counts

83 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	52.8b	(fma.f64 1/12 (/.f64 (.f64 x x) (exp.f64 y)) (fma.f64 (exp.f64 y) (-.f64 1/2 (.f64 1/12 (*.f64 x x))) (/.f64 -1/2 (exp.f64 y))))
	0.5b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
▶	0.0b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	7.1b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))

Compiler

Compiled 1467 to 537 computations (63.4% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series58.0ms (1.2%)

Counts

2 → 28

Calls

2 calls:

55.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
3.0ms	(/.f64 (sin.f64 x) x)

rewrite22.0ms (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:

10.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
5.0ms	(/.f64 (sin.f64 x) x)

simplify104.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
389×	`associate-*l/_binary64`
377×	`associate-l_binary64`
360×	`associate-/l*_binary64`
358×	`associate-*r/_binary64`

Counts

93 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	1681
1	452	1557
2	1467	1545
3	4466	1539
4	4993	1539

prune172.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	120	5	125

Error

Counts

125 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	25.9b	(.f64 (sinh.f64 y) (fma.f64 x (.f64 x -1/6) 1))
▶	0.5b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
✓	0.0b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	7.1b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))

Compiler

Compiled 2015 to 685 computations (66% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (sinh.f64 y) x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))
✓	0.2b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
✓	0.6b	(cbrt.f64 (sin.f64 x))

series1.2s (23.2%)

Counts

4 → 72

Calls

4 calls:

657.0ms	(.f64 (/.f64 (sinh.f64 y) x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))
233.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
231.0ms	(cbrt.f64 (sin.f64 x))
32.0ms	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))

rewrite42.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-exp-log_binary64`
33×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`*-un-lft-identity_binary64`
22×	`cbrt-prod_binary64`

Counts

4 → 123

Calls

4 calls:

11.0ms	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
11.0ms	(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))
10.0ms	(.f64 (/.f64 (sinh.f64 y) x) (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))))
2.0ms	(cbrt.f64 (sin.f64 x))

simplify133.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

552×	`times-frac_binary64`
398×	`associate-r_binary64`
308×	`associate-l_binary64`
253×	`fma-neg_binary64`
211×	`*-commutative_binary64`

Counts

195 → 237

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	4162
1	916	3395
2	3211	3298
3	4552	3279
4	4932	3279

prune195.0ms (3.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	285	5	290

Error

Counts

290 → 5

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	25.9b	(.f64 (sinh.f64 y) (fma.f64 x (.f64 x -1/6) 1))
✓	0.5b	(.f64 (.f64 (/.f64 (sinh.f64 y) x) (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x)))) (cbrt.f64 (sin.f64 x)))
✓	0.0b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
	7.1b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))

Compiler

Compiled 6754 to 2158 computations (68% saved)

regimes216.0ms (4.3%)

Accuracy

Total 0.1b remaining (75.3%)

Threshold costs 0.1b (75.3%)

Counts

59 → 1

Compiler

Compiled 3596 to 2268 computations (36.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	11	14

end70.0ms (1.4%)

Compiler: Compiled 85 to 54 computations (36.5% saved)

Details

analyze46.0ms (0.9%)

sample2.0s (40.7%)

simplify100.0ms (2%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series95.0ms (1.9%)

rewrite16.0ms (0.3%)

simplify129.0ms (2.6%)

prune112.0ms (2.3%)

localize10.0ms (0.2%)

series53.0ms (1.1%)

rewrite12.0ms (0.3%)

simplify109.0ms (2.2%)

prune65.0ms (1.3%)

localize6.0ms (0.1%)

series58.0ms (1.2%)

rewrite22.0ms (0.4%)

simplify104.0ms (2.1%)

prune172.0ms (3.4%)

localize18.0ms (0.4%)

series1.2s (23.2%)

rewrite42.0ms (0.9%)

simplify133.0ms (2.7%)

prune195.0ms (3.9%)

regimes216.0ms (4.3%)

simplify3.0ms (0.1%)

end70.0ms (1.4%)

Profiling