Details

analyze132.0ms (4.2%)

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
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 (56.2%)

Results

687.0ms	1315×	body	1024	valid
686.0ms	5596×	body	128	valid
279.0ms	878×	body	512	valid
99.0ms	466×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (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)

localize4.0ms (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 (0.5%)

Counts

2 → 28

Calls

2 calls:

11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.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:

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

simplify92.0ms (2.9%)

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

prune59.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Error

0.0b

Counts

99 → 7

Alt Table

Status	Error	Program
	7.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	30.0b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
	29.5b	(.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	30.5b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))

Compiler

Compiled 1385 to 474 computations (65.8% saved)

localize6.0ms (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 y (sin.f64 y))
✓	0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

series21.0ms (0.7%)

Counts

3 → 40

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 y (sin.f64 y))
3.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite31.0ms (1%)

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:

11.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify154.0ms (4.9%)

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 → 286

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	3095
1	387	2736
2	1122	2693
3	2662	2687
4	3927	2687
5	4641	2687
6	4996	2687

prune186.0ms (5.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	284	2	286
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	286	7	293

Error

Counts

293 → 7

Alt Table

Status	Error	Program
	7.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
	30.0b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
	9.4b	(*.f64 (/.f64 x y) (sin.f64 y))
▶	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	0.4b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))

Compiler

Compiled 4794 to 1930 computations (59.7% saved)

localize7.0ms (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))

series14.0ms (0.4%)

Counts

2 → 36

Calls

2 calls:

11.0ms	(.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))

simplify90.0ms (2.8%)

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

prune65.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Error

Counts

114 → 7

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
	9.4b	(*.f64 (/.f64 x y) (sin.f64 y))
	7.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
	30.0b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	0.4b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))

Compiler

Compiled 1556 to 785 computations (49.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series11.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
15×	`unpow-prod-down_binary64`
10×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`

Counts

1 → 40

Calls

1 calls:

10.0ms

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

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/l/_binary64`
440×	`unswap-sqr_binary64`
368×	`fma-def_binary64`
332×	`fma-neg_binary64`
200×	`*-commutative_binary64`

Counts

64 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	801
1	229	766
2	834	756
3	2122	754
4	4295	754
5	4979	754

prune80.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	7	120

Error

Counts

120 → 7

Alt Table

Status	Error	Program
✓	0.1b	(*.f64 x (pow.f64 (/.f64 (sin.f64 y) y) 1))
	9.4b	(*.f64 (/.f64 x y) (sin.f64 y))
	7.7b	(/.f64 (*.f64 (sin.f64 y) x) y)
	30.0b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
	0.4b	(.f64 (.f64 x (/.f64 1 (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y)))))) (/.f64 1 (cbrt.f64 (/.f64 y (sin.f64 y)))))

Compiler

Compiled 1772 to 741 computations (58.2% saved)

regimes227.0ms (7.2%)

Accuracy

Total 0.1b remaining (87.3%)

Threshold costs 0.1b (87.3%)

Counts

63 → 1

Compiler

Compiled 3661 to 2132 computations (41.8% 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

end80.0ms (2.5%)

Compiler: Compiled 99 to 60 computations (39.4% saved)

Details

analyze132.0ms (4.2%)

sample1.8s (56.2%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series15.0ms (0.5%)

rewrite10.0ms (0.3%)

simplify92.0ms (2.9%)

prune59.0ms (1.9%)

localize6.0ms (0.2%)

series21.0ms (0.7%)

rewrite31.0ms (1%)

simplify154.0ms (4.9%)

prune186.0ms (5.9%)

localize7.0ms (0.2%)

series14.0ms (0.4%)

rewrite16.0ms (0.5%)

simplify90.0ms (2.8%)

prune65.0ms (2.1%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite12.0ms (0.4%)

simplify61.0ms (1.9%)

prune80.0ms (2.5%)

regimes227.0ms (7.2%)

simplify2.0ms (0.1%)

end80.0ms (2.5%)

Profiling