Details

analyze173.0ms (5.4%)

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)

sample1.7s (53.5%)

Results

691.0ms	5676×	body	128	valid
619.0ms	1261×	body	1024	valid
246.0ms	840×	body	512	valid
116.0ms	477×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify9.0ms (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

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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series14.0ms (0.4%)

Counts

2 → 28

Calls

2 calls:

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

rewrite10.0ms (0.3%)

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:

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

simplify97.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

91 → 96

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

prune65.0ms (2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	8	97

Error

Counts

97 → 8

Alt Table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	17.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	32.4b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	29.0b	(.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
	5.3b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	36.0b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
	9.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	9.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 1381 to 483 computations (65% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite16.0ms (0.5%)

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

simplify85.0ms (2.7%)

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

prune85.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	107	8	115

Error

Counts

115 → 8

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	17.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	32.4b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	29.0b	(.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
▶	5.3b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	36.0b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
	9.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	9.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 1600 to 802 computations (49.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (sin.f64 y) (cbrt.f64 y))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)
✓	4.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

series164.0ms (5.2%)

Counts

4 → 60

Calls

4 calls:

47.0ms	(/.f64 (sin.f64 y) (cbrt.f64 y))
41.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
39.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
36.0ms	(cbrt.f64 y)

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`add-sqr-sqrt_binary64`
46×	`times-frac_binary64`
43×	`*-un-lft-identity_binary64`
43×	`add-cube-cbrt_binary64`
42×	`cbrt-prod_binary64`

Counts

4 → 157

Calls

4 calls:

10.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
3.0ms	(/.f64 (sin.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify114.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

626×	`unswap-sqr_binary64`
558×	`fma-def_binary64`
274×	`fma-neg_binary64`
272×	`associate-/r/_binary64`
170×	`sub-neg_binary64`

Counts

217 → 246

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3620
1	555	2756
2	2242	2668
3	3373	2608
4	5043	2608

prune118.0ms (3.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	282	0	282
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	282	8	290

Error

Counts

290 → 8

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	17.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	32.4b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	29.0b	(.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
✓	5.3b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	36.0b	(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y))
▶	9.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	9.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 5616 to 1431 computations (74.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	9.8b	(/.f64 (*.f64 (sin.f64 y) x) y)

series17.0ms (0.5%)

Counts

2 → 8

Calls

2 calls:

10.0ms	(/.f64 (*.f64 (sin.f64 y) x) y)
6.0ms	(*.f64 (sin.f64 y) x)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

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

simplify103.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

745×	`times-frac_binary64`
614×	`fma-neg_binary64`
531×	`associate-/l*_binary64`
303×	`associate-l_binary64`
259×	`associate-r_binary64`

Counts

51 → 81

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	106	667
1	263	575
2	900	557
3	3846	557
4	4780	557
5	4977	557
6	4999	557
7	4928	557

prune44.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	4	1	5
Picked	0	1	1
Done	0	2	2
Total	82	7	89

Error

Counts

89 → 7

Alt Table

Status	Error	Program
	7.2b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
	32.4b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
✓	5.3b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
✓	9.8b	(/.f64 (*.f64 (sin.f64 y) x) y)
	7.1b	(/.f64 (sin.f64 y) (/.f64 y x))
	10.3b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))

Compiler

Compiled 1000 to 377 computations (62.3% saved)

regimes211.0ms (6.6%)

Accuracy

Total 0.1b remaining (90.4%)

Threshold costs 0.1b (90.4%)

Counts

60 → 1

Compiler

Compiled 3105 to 1820 computations (41.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end74.0ms (2.3%)

Compiler: Compiled 87 to 54 computations (37.9% saved)

Details

analyze173.0ms (5.4%)

sample1.7s (53.5%)

simplify9.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series14.0ms (0.4%)

rewrite10.0ms (0.3%)

simplify97.0ms (3.1%)

prune65.0ms (2%)

localize6.0ms (0.2%)

series13.0ms (0.4%)

rewrite16.0ms (0.5%)

simplify85.0ms (2.7%)

prune85.0ms (2.7%)

localize8.0ms (0.3%)

series164.0ms (5.2%)

rewrite30.0ms (0.9%)

simplify114.0ms (3.6%)

prune118.0ms (3.7%)

localize6.0ms (0.2%)

series17.0ms (0.5%)

rewrite8.0ms (0.3%)

simplify103.0ms (3.2%)

prune44.0ms (1.4%)

regimes211.0ms (6.6%)

simplify2.0ms (0.1%)

end74.0ms (2.3%)

Profiling