Details

analyze494.0ms (9.4%)

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.2s (60.7%)

Results

1.1s	2053×	body	1024	invalid
765.0ms	6390×	body	128	valid
386.0ms	696×	body	1024	valid
339.0ms	1045×	body	512	invalid
233.0ms	716×	body	512	valid
117.0ms	490×	body	256	invalid
110.0ms	760×	body	128	invalid
99.0ms	454×	body	256	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify66.0ms (1.3%)

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

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

14.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.8b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

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	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.8b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series61.0ms (1.2%)

Counts

3 → 60

Calls

3 calls:

30.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
23.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms	(sinh.f64 y)

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

4.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
3.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

simplify95.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

986×	`times-frac_binary64`
754×	`fma-def_binary64`
235×	`cancel-sign-sub-inv_binary64`
207×	`fma-neg_binary64`
140×	`sub-neg_binary64`

Counts

115 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2193
1	557	2016
2	1957	1834
3	4456	1827
4	5132	1827

prune81.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	107	9	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	9	117

Error

0.0b

Counts

117 → 9

Alt Table

Status	Error	Program
	1.1b	(.f64 (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	38.0b	(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (sqrt.f64 x))
	15.4b	(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	14.9b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
	15.4b	(fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))
	29.5b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
	40.0b	(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) x)

Compiler

Compiled 2211 to 994 computations (55% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series54.0ms (1%)

Counts

2 → 48

Calls

2 calls:

29.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
25.0ms	(/.f64 (sinh.f64 y) x)

rewrite11.0ms (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-l_binary64`

Counts

2 → 64

Calls

2 calls:

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

simplify101.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-neg_binary64`
396×	`associate-l_binary64`
351×	`associate-/l*_binary64`
321×	`associate-*l/_binary64`
319×	`associate-r_binary64`

Counts

112 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2017
1	482	1865
2	1355	1682
3	4426	1676
4	4995	1676
5	4960	1676

prune96.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	142	7	149

Error

Counts

149 → 7

Alt Table

Status	Error	Program
	29.5b	(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	26.2b	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sin.f64 x))
	15.4b	(fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	40.0b	(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) x)

Compiler

Compiled 2391 to 880 computations (63.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series34.0ms (0.6%)

Counts

2 → 36

Calls

2 calls:

31.0ms	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
3.0ms	(*.f64 (/.f64 1 x) (sin.f64 x))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`associate-l_binary64`
16×	`add-cbrt-cube_binary64`
13×	`prod-exp_binary64`

Counts

2 → 64

Calls

2 calls:

6.0ms	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
5.0ms	(*.f64 (/.f64 1 x) (sin.f64 x))

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

468×	`fma-neg_binary64`
296×	`fma-def_binary64`
288×	`*-commutative_binary64`
283×	`associate-*l/_binary64`
246×	`times-frac_binary64`

Counts

100 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	1604
1	451	1423
2	1400	1409
3	4224	1403
4	5080	1403

prune105.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	145	7	152

Error

Counts

152 → 7

Alt Table

Status	Error	Program
	29.5b	(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
▶	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	26.2b	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) x)) (sqrt.f64 (/.f64 (sinh.f64 y) x))) (sin.f64 x))
	15.4b	(fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
	40.0b	(/.f64 (.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (sinh.f64 y))) x)

Compiler

Compiled 2499 to 1215 computations (51.4% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 x (sinh.f64 y))
✓	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series80.0ms (1.5%)

Counts

2 → 48

Calls

2 calls:

49.0ms	(/.f64 x (sinh.f64 y))
30.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
53×	`add-cube-cbrt_binary64`
17×	`associate-/r*_binary64`

Counts

2 → 106

Calls

2 calls:

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

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary64`
532×	`associate-/l*_binary64`
520×	`associate-/r/_binary64`
464×	`times-frac_binary64`
433×	`associate-/l/_binary64`

Counts

154 → 185

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	3335
1	620	2983
2	1972	2866
3	4870	2858
4	5334	2858

prune122.0ms (2.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	204	7	211

Error

Counts

211 → 7

Alt Table

Status	Error	Program
	0.7b	(/.f64 1 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (/.f64 1 x) (sin.f64 x)))
	29.5b	(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
	0.7b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 (sinh.f64 y) x)))
✓	0.5b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	15.4b	(fma.f64 1/6 (/.f64 (.f64 (sin.f64 x) (pow.f64 y 3)) x) (/.f64 (.f64 y (sin.f64 x)) x))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 3461 to 1040 computations (70% saved)

regimes304.0ms (5.8%)

Accuracy

Total 0.3b remaining (87.8%)

Threshold costs 0.3b (87.8%)

Counts

86 → 1

Compiler

Compiled 4451 to 2921 computations (34.4% 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

end86.0ms (1.6%)

Compiler: Compiled 104 to 71 computations (31.7% saved)

Details

analyze494.0ms (9.4%)

sample3.2s (60.7%)

simplify66.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series61.0ms (1.2%)

rewrite12.0ms (0.2%)

simplify95.0ms (1.8%)

prune81.0ms (1.5%)

localize8.0ms (0.2%)

series54.0ms (1%)

rewrite11.0ms (0.2%)

simplify101.0ms (1.9%)

prune96.0ms (1.8%)

localize8.0ms (0.1%)

series34.0ms (0.6%)

rewrite16.0ms (0.3%)

simplify85.0ms (1.6%)

prune105.0ms (2%)

localize5.0ms (0.1%)

series80.0ms (1.5%)

rewrite16.0ms (0.3%)

simplify117.0ms (2.2%)

prune122.0ms (2.3%)

regimes304.0ms (5.8%)

simplify2.0ms (0%)

end86.0ms (1.6%)

Profiling