Details

analyze505.0ms (8.6%)

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)

sample65.0ms (1.1%)

Algorithm

1×

intervals

Results

15.0ms	45×	body	1024	valid
14.0ms	182×	body	128	valid
5.0ms	22×	body	512	valid
1.0ms	7×	body	256	valid
1.0ms	12×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 26 to 18 computations (30.8% 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

2.7b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	2.7b	(/.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)
✓	2.7b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series49.0ms (0.8%)

Counts

3 → 64

Calls

3 calls:

34.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite19.0ms (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:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.0ms	(/.f64 (sin.f64 y) y)

simplify120.0ms (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

prune95.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	140	7	147

Error

Counts

147 → 7

Alt Table

Status	Error	Program
	6.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	32.8b	(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
▶	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
	3.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	32.3b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
	3.5b	(/.f64 (.f64 x (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))) z)

Compiler

Compiled 2291 to 756 computations (67% 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)
✓	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series49.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

29.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
19.0ms	(/.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)))
4.0ms	(/.f64 z (/.f64 (sin.f64 y) y))

simplify277.0ms (4.7%)

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

prune244.0ms (4.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	503	6	509

Error

Counts

509 → 6

Alt Table

Status	Error	Program
	6.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	32.8b	(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
✓	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
	3.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
▶	3.0b	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))

Compiler

Compiled 10004 to 2126 computations (78.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.4b	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))
✓	2.6b	(/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x)

series104.0ms (1.8%)

Counts

2 → 72

Calls

2 calls:

66.0ms	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))
38.0ms	(/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x)

rewrite281.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

2124×	`times-frac_binary64`
924×	`*-un-lft-identity_binary64`
924×	`add-sqr-sqrt_binary64`
924×	`add-cube-cbrt_binary64`
139×	`associate-/r*_binary64`

Counts

2 → 776

Calls

2 calls:

66.0ms	(/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x)
25.0ms	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))

simplify737.0ms (12.5%)

Algorithm

1×	egg-herbie

Rules

935×	`associate-/r/_binary64`
439×	`associate-/r*_binary64`
375×	`associate-*l/_binary64`
368×	`associate-/l*_binary64`
356×	`*-commutative_binary64`

Counts

848 → 1157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	750	26393
1	1700	24113
2	4848	24111
3	4995	24111
4	4975	24111

prune745.0ms (12.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1316	1	1317
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	1317	6	1323

Error

Counts

1323 → 6

Alt Table

Status	Error	Program
	6.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
▶	3.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
✓	3.0b	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	12.9b	(/.f64 1 (/.f64 (/.f64 z (sin.f64 y)) (/.f64 x y)))

Compiler

Compiled 33120 to 8953 computations (73% saved)

localize8.0ms (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)
✓	3.0b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series31.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

31.0ms

(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
20×	`prod-exp_binary64`
13×	`associate-r_binary64`
10×	`cbrt-unprod_binary64`

Counts

1 → 48

Calls

1 calls:

9.0ms

(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

simplify83.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

624×	`associate-*l/_binary64`
579×	`associate-*r/_binary64`
378×	`fma-def_binary64`
374×	`associate-/l*_binary64`
328×	`times-frac_binary64`

Counts

84 → 72

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	1310
1	287	1132
2	970	1128
3	3721	1126
4	4701	1124
5	5034	1124

prune98.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	170	6	176

Error

Counts

176 → 6

Alt Table

Status	Error	Program
	6.2b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	2.7b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
✓	3.1b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
✓	3.0b	(/.f64 1 (/.f64 (/.f64 z (/.f64 (sin.f64 y) y)) x))
	8.9b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
	12.9b	(/.f64 1 (/.f64 (/.f64 z (sin.f64 y)) (/.f64 x y)))

Compiler

Compiled 2881 to 1148 computations (60.2% saved)

regimes620.0ms (10.5%)

Accuracy

Total 0.3b remaining (92.9%)

Threshold costs 0.3b (92.9%)

Counts

64 → 3

Compiler

Compiled 6157 to 3666 computations (40.5% saved)

bsearch30.0ms (0.5%)

Steps

Iters	Range		Point
4	3.2934974695914607e-43	2.0562323417446629e-41	1.6289788309286959e-41
5	-3.2454730180141354e-93	-2.540270112604764e-96	-2.626086056403945e-93

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	48
1	22	48
2	22	48

end1.0ms (0%)

Compiler: Compiled 35 to 18 computations (48.6% saved)

sample1.6s (27.7%)

Algorithm

1×

intervals

Results

468.0ms	1382×	body	1024	valid
354.0ms	5377×	body	128	valid
181.0ms	823×	body	512	valid
58.0ms	413×	body	256	valid
35.0ms	545×	body	128	invalid
9.0ms	52×	body	512	invalid
7.0ms	56×	body	256	invalid
6.0ms	21×	body	1024	invalid
3.0ms	5×	body	2048	valid

Compiler

Compiled 122 to 77 computations (36.9% saved)

Details

analyze505.0ms (8.6%)

sample65.0ms (1.1%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series49.0ms (0.8%)

rewrite19.0ms (0.3%)

simplify120.0ms (2%)

prune95.0ms (1.6%)

localize7.0ms (0.1%)

series49.0ms (0.8%)

rewrite49.0ms (0.8%)

simplify277.0ms (4.7%)

prune244.0ms (4.1%)

localize8.0ms (0.1%)

series104.0ms (1.8%)

rewrite281.0ms (4.8%)

simplify737.0ms (12.5%)

prune745.0ms (12.7%)

localize8.0ms (0.1%)

series31.0ms (0.5%)

rewrite14.0ms (0.2%)

simplify83.0ms (1.4%)

prune98.0ms (1.7%)

regimes620.0ms (10.5%)

bsearch30.0ms (0.5%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.6s (27.7%)

Profiling