Details

analyze540.0ms (9.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.9s (32.8%)

Results

719.0ms	5604×	body	128	valid
709.0ms	1404×	body	1024	valid
260.0ms	828×	body	512	valid
104.0ms	417×	body	256	valid
69.0ms	548×	body	128	invalid
18.0ms	59×	body	512	invalid
8.0ms	38×	body	256	invalid
8.0ms	17×	body	1024	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	24	12
3	48	12
4	63	12
5	68	12
6	68	12

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

3.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.2b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	3.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series42.0ms (0.7%)

Counts

3 → 64

Calls

3 calls:

28.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`

Counts

3 → 89

Calls

3 calls:

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

simplify116.0ms (2%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-def_binary64`
563×	`associate-/l/_binary64`
381×	`associate-/r*_binary64`
381×	`associate-/r/_binary64`
361×	`fma-neg_binary64`

Counts

153 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2095
1	408	1905
2	1487	1887
3	3700	1881
4	4743	1881
5	4991	1881
6	4969	1881

prune109.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	138	8	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	8	147

Error

0.0b

Counts

147 → 8

Alt Table

Status	Error	Program
	8.0b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
▶	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
	3.6b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
	2.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
	28.5b	(.f64 (sqrt.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
	27.6b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
	14.6b	(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))) z)
	3.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

Compiler

Compiled 2353 to 780 computations (66.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	2.6b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series46.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

28.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
17.0ms	(/.f64 z (/.f64 (sin.f64 y) y))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`

Counts

2 → 270

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
5.0ms	(/.f64 z (/.f64 (sin.f64 y) y))

simplify268.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

569×	`associate-/r/_binary64`
420×	`fma-def_binary64`
415×	`associate-/l/_binary64`
387×	`associate-*l/_binary64`
350×	`*-commutative_binary64`

Counts

330 → 463

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	489	7995
1	1102	7743
2	3978	7730
3	4211	7727
4	4962	7727
5	4994	7727

prune275.0ms (4.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	498	4	502
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	504	6	510

Error

Counts

510 → 6

Alt Table

Status	Error	Program
▶	1.2b	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
	2.8b	(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
	2.7b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	10.0b	(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
	11.4b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
	3.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

Compiler

Compiled 10011 to 2133 computations (78.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(/.f64 1 (/.f64 (sin.f64 y) y))
✓	1.1b	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))

series31.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

24.0ms	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
7.0ms	(/.f64 1 (/.f64 (sin.f64 y) y))

rewrite161.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

1976×	`times-frac_binary64`
849×	`*-un-lft-identity_binary64`
849×	`add-sqr-sqrt_binary64`
849×	`add-cube-cbrt_binary64`
107×	`div-inv_binary64`

Counts

2 → 741

Calls

2 calls:

17.0ms	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
4.0ms	(/.f64 1 (/.f64 (sin.f64 y) y))

simplify717.0ms (12.2%)

Algorithm

1×	egg-herbie

Rules

548×	`associate-/r/_binary64`
519×	`associate-/r*_binary64`
488×	`associate-*l/_binary64`
417×	`*-commutative_binary64`
408×	`associate-*r/_binary64`

Counts

789 → 997

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	557	23998
1	1455	22120
2	4513	22033
3	4544	22031
4	4964	22031
5	4960	22031

prune576.0ms (9.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	1035	1	1036
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	1036	6	1042

Error

Counts

1042 → 6

Alt Table

Status	Error	Program
▶	2.7b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	10.0b	(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
✓	1.2b	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
	11.4b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	3.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

Compiler

Compiled 26417 to 8850 computations (66.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 z (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))
✓	2.6b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))

series50.0ms (0.9%)

Counts

3 → 64

Calls

3 calls:

26.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
18.0ms	(*.f64 z (/.f64 y (sin.f64 y)))
6.0ms	(/.f64 y (sin.f64 y))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`

Counts

3 → 89

Calls

3 calls:

5.0ms	(*.f64 z (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
2.0ms	(/.f64 y (sin.f64 y))

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

648×	`associate-/l*_binary64`
447×	`associate-/r*_binary64`
415×	`fma-def_binary64`
400×	`associate-/r/_binary64`
376×	`associate-*l/_binary64`

Counts

153 → 144

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2092
1	407	1903
2	1389	1892
3	4471	1885
4	4820	1885
5	4962	1885

prune78.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	144	0	144
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	144	6	150

Error

Counts

150 → 6

Alt Table

Status	Error	Program
✓	2.7b	(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
	10.0b	(/.f64 (/.f64 x (/.f64 z (sin.f64 y))) y)
✓	1.2b	(/.f64 (/.f64 x z) (/.f64 1 (/.f64 (sin.f64 y) y)))
	11.4b	(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
	2.8b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))
	3.2b	(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

Compiler

Compiled 2149 to 675 computations (68.6% saved)

regimes656.0ms (11.2%)

Accuracy

Total 3.0b remaining (99.4%)

Threshold costs 0b (0%)

Counts

116 → 1

Compiler

Compiled 13506 to 7584 computations (43.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end64.0ms (1.1%)

Compiler: Compiled 92 to 60 computations (34.8% saved)

Details

analyze540.0ms (9.2%)

sample1.9s (32.8%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series42.0ms (0.7%)

rewrite17.0ms (0.3%)

simplify116.0ms (2%)

prune109.0ms (1.9%)

localize7.0ms (0.1%)

series46.0ms (0.8%)

rewrite49.0ms (0.8%)

simplify268.0ms (4.6%)

prune275.0ms (4.7%)

localize7.0ms (0.1%)

series31.0ms (0.5%)

rewrite161.0ms (2.7%)

simplify717.0ms (12.2%)

prune576.0ms (9.8%)

localize6.0ms (0.1%)

series50.0ms (0.9%)

rewrite15.0ms (0.3%)

simplify101.0ms (1.7%)

prune78.0ms (1.3%)

regimes656.0ms (11.2%)

simplify2.0ms (0%)

end64.0ms (1.1%)

Profiling