Details

analyze238.0ms (4.9%)

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)

sample70.0ms (1.4%)

Algorithm

1×

intervals

Results

25.0ms	45×	body	1024	valid
17.0ms	164×	body	128	valid
10.0ms	33×	body	512	valid
3.0ms	14×	body	256	valid

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify15.0ms (0.3%)

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

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

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)

localize10.0ms (0.2%)

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)

series34.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

25.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms	(/.f64 (sin.f64 y) y)

rewrite21.0ms (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 → 63

Calls

2 calls:

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

simplify185.0ms (3.8%)

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

prune127.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	90	8	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	8	99

Error

0.0b

Counts

99 → 8

Alt Table

Status	Error	Program
	36.4b	(.f64 x (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y)))
	4.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	7.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))) (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
	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))))

Compiler

Compiled 1461 to 502 computations (65.6% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series45.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

22.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
17.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite67.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 182

Calls

3 calls:

25.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
8.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
5.0ms	(/.f64 y (sin.f64 y))

simplify300.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
585×	`fma-def_binary64`
359×	`times-frac_binary64`
226×	`cancel-sign-sub-inv_binary64`
220×	`sub-neg_binary64`

Counts

222 → 284

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	3071
1	387	2736
2	1122	2693
3	2662	2687
4	3927	2687
5	4641	2687
6	4996	2687

prune420.0ms (8.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	284	8	292

Error

Counts

292 → 8

Alt Table

Status	Error	Program
	7.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.3b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	1.3b	(.f64 x (/.f64 1 (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (sin.f64 y) (cbrt.f64 y)))))
	4.6b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 4797 to 1949 computations (59.4% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series27.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

27.0ms

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

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-sqr-sqrt_binary64`
43×	`add-cube-cbrt_binary64`
13×	`associate-/r*_binary64`

Counts

1 → 72

Calls

1 calls:

8.0ms

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

simplify121.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

901×	`fma-neg_binary64`
421×	`fma-def_binary64`
349×	`associate-/r/_binary64`
324×	`associate-/l*_binary64`
320×	`associate-/l/_binary64`

Counts

96 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	169	1738
1	372	1665
2	1092	1654
3	2969	1650
4	4549	1648
5	5182	1648

prune115.0ms (2.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	158	7	165

Error

Counts

165 → 7

Alt Table

Status	Error	Program
	7.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.3b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
▶	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	31.7b	(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 x))))
	0.7b	(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))

Compiler

Compiled 2394 to 682 computations (71.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series18.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

14.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
4.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite19.0ms (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:

8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
7.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

simplify124.0ms (2.6%)

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

prune77.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	107	7	114

Error

Counts

114 → 7

Alt Table

Status	Error	Program
	7.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.3b	(.f64 x (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	0.2b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	31.7b	(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 x))))
	0.7b	(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))

Compiler

Compiled 1489 to 751 computations (49.6% saved)

regimes925.0ms (19.1%)

Accuracy

Total 0.1b remaining (85%)

Threshold costs 0.1b (85%)

Counts

159 → 1

Compiler

Compiled 8891 to 5876 computations (33.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`/-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	10	9

end1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

sample1.8s (37.9%)

Algorithm

1×

intervals

Results

590.0ms	1326×	body	1024	valid
449.0ms	5356×	body	128	valid
217.0ms	837×	body	512	valid
85.0ms	479×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 98 to 65 computations (33.7% saved)

Details

analyze238.0ms (4.9%)

sample70.0ms (1.4%)

simplify15.0ms (0.3%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series34.0ms (0.7%)

rewrite21.0ms (0.4%)

simplify185.0ms (3.8%)

prune127.0ms (2.6%)

localize12.0ms (0.2%)

series45.0ms (0.9%)

rewrite67.0ms (1.4%)

simplify300.0ms (6.2%)

prune420.0ms (8.7%)

localize10.0ms (0.2%)

series27.0ms (0.6%)

rewrite18.0ms (0.4%)

simplify121.0ms (2.5%)

prune115.0ms (2.4%)

localize7.0ms (0.1%)

series18.0ms (0.4%)

rewrite19.0ms (0.4%)

simplify124.0ms (2.6%)

prune77.0ms (1.6%)

regimes925.0ms (19.1%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.8s (37.9%)

Profiling