Details

analyze151.0ms (3.4%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.8s (41.7%)

Results

761.0ms	5595×	body	128	valid
642.0ms	1296×	body	1024	valid
289.0ms	880×	body	512	valid
108.0ms	482×	body	256	valid
5.0ms	3×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

prune1.0ms (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 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series15.0ms (0.3%)

Counts

2 → 28

Calls

2 calls:

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

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-r_binary64`

Counts

2 → 63

Calls

2 calls:

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

simplify95.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
645×	`fma-def_binary64`
532×	`associate-/r/_binary64`
459×	`cancel-sign-sub-inv_binary64`
346×	`associate-l_binary64`

Counts

91 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1147
1	268	1057
2	843	1043
3	2436	1039
4	4592	1039
5	4999	1039
6	4947	1039

prune75.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	8	99

Error

0.0b

Counts

99 → 8

Alt Table

Status	Error	Program
	0.6b	(.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))))
	0.6b	(.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))))
	5.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	31.8b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
	0.6b	(.f64 (.f64 x (/.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)))
	18.9b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))

Compiler

Compiled 1455 to 497 computations (65.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

series15.0ms (0.3%)

Counts

2 → 36

Calls

2 calls:

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

rewrite17.0ms (0.4%)

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 → 64

Calls

2 calls:

7.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
6.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-neg_binary64`
383×	`fma-def_binary64`
379×	`associate-/r*_binary64`
320×	`associate-/l/_binary64`
316×	`cancel-sign-sub-inv_binary64`

Counts

100 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1096
1	264	956
2	737	942
3	1735	938
4	3749	938
5	4801	938
6	4965	938

prune96.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	107	8	115

Error

0.0b

Counts

115 → 8

Alt Table

Status	Error	Program
	0.6b	(.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))))
▶	0.6b	(.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))))
	5.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	31.8b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
	0.6b	(.f64 (.f64 x (/.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)))
	18.9b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))

Compiler

Compiled 1638 to 809 computations (50.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(.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)))
✓	0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))

series475.0ms (10.8%)

Counts

3 → 36

Calls

3 calls:

259.0ms

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

200.0ms

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

16.0ms

(*.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 (0.9%)

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))

simplify167.0ms (3.8%)

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

prune414.0ms (9.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	441	2	443
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	443	8	451

Error

Counts

451 → 8

Alt Table

Status	Error	Program
	8.8b	(.f64 x (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.6b	(.f64 (.f64 x (/.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)))
▶	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
✓	0.6b	(.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))))
	5.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	31.8b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))

Compiler

Compiled 11376 to 2680 computations (76.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
	0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
✓	0.6b	(cbrt.f64 y)
✓	0.6b	(cbrt.f64 (sin.f64 y))

series218.0ms (5%)

Counts

2 → 24

Calls

2 calls:

185.0ms	(cbrt.f64 (sin.f64 y))
33.0ms	(cbrt.f64 y)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 26

Calls

2 calls:

1.0ms	(cbrt.f64 (sin.f64 y))
1.0ms	(cbrt.f64 y)

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1159×	`fma-neg_binary64`
612×	`cancel-sign-sub-inv_binary64`
608×	`log-prod_binary64`
438×	`unswap-sqr_binary64`
412×	`associate-l_binary64`

Counts

50 → 40

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	362
1	119	352
2	287	350
3	713	346
4	2125	338
5	4213	338
6	5215	338

prune210.0ms (4.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	246	8	254

Error

Counts

254 → 8

Alt Table

Status	Error	Program
	8.8b	(.f64 x (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.6b	(.f64 (.f64 x (/.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)))
✓	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y))))
✓	0.6b	(.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))))
	5.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	31.8b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))

Compiler

Compiled 6838 to 1677 computations (75.5% saved)

regimes282.0ms (6.4%)

Accuracy

Total 0.1b remaining (77%)

Threshold costs 0.1b (77%)

Counts

73 → 1

Compiler

Compiled 4664 to 2862 computations (38.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end95.0ms (2.2%)

Compiler: Compiled 139 to 74 computations (46.8% saved)

Details

analyze151.0ms (3.4%)

sample1.8s (41.7%)

simplify8.0ms (0.2%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series15.0ms (0.3%)

rewrite11.0ms (0.2%)

simplify95.0ms (2.2%)

prune75.0ms (1.7%)

localize8.0ms (0.2%)

series15.0ms (0.3%)

rewrite17.0ms (0.4%)

simplify84.0ms (1.9%)

prune96.0ms (2.2%)

localize8.0ms (0.2%)

series475.0ms (10.8%)

rewrite40.0ms (0.9%)

simplify167.0ms (3.8%)

prune414.0ms (9.4%)

localize12.0ms (0.3%)

series218.0ms (5%)

rewrite2.0ms (0.1%)

simplify63.0ms (1.4%)

prune210.0ms (4.8%)

regimes282.0ms (6.4%)

simplify2.0ms (0.1%)

end95.0ms (2.2%)

Profiling