Details

analyze121.0ms (3%)

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 (44%)

Results

728.0ms	5597×	body	128	valid
659.0ms	1356×	body	1024	valid
268.0ms	837×	body	512	valid
99.0ms	465×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.1%)

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))

series17.0ms (0.4%)

Counts

2 → 28

Calls

2 calls:

14.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite25.0ms (0.6%)

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)

simplify94.0ms (2.3%)

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

prune61.0ms (1.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	8	97

Error

0.0b

Counts

97 → 8

Alt Table

Status	Error	Program
▶	5.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	33.8b	(.f64 (.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (sqrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	15.3b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
	6.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
	34.0b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	31.9b	(cbrt.f64 (.f64 (.f64 (.f64 x (/.f64 (sin.f64 y) y)) (.f64 x (/.f64 (sin.f64 y) y))) (*.f64 x (/.f64 (sin.f64 y) y))))

Compiler

Compiled 1407 to 488 computations (65.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 (sin.f64 y)) y)
✓	0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
✓	0.6b	(cbrt.f64 (sin.f64 y))
✓	4.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

series495.0ms (12.2%)

Counts

4 → 60

Calls

4 calls:

187.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
169.0ms	(/.f64 (cbrt.f64 (sin.f64 y)) y)
127.0ms	(cbrt.f64 (sin.f64 y))
11.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
41×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
40×	`cbrt-prod_binary64`
36×	`times-frac_binary64`

Counts

4 → 145

Calls

4 calls:

10.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
5.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
3.0ms	(/.f64 (cbrt.f64 (sin.f64 y)) y)
1.0ms	(cbrt.f64 (sin.f64 y))

simplify110.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

467×	`fma-def_binary64`
406×	`associate-/r*_binary64`
339×	`associate-l_binary64`
296×	`associate-r_binary64`
274×	`associate-/l/_binary64`

Counts

205 → 235

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	3094
1	587	2576
2	2251	2494
3	4074	2452
4	4922	2452

prune142.0ms (3.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	282	9	291

Error

0.0b

Counts

291 → 9

Alt Table

Status	Error	Program
	34.0b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	15.9b	(.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
✓	5.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	36.1b	(.f64 (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3))) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	33.8b	(.f64 (.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (sqrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	15.3b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
▶	6.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 6344 to 1745 computations (72.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sin.f64 y))
✓	6.8b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))

series19.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

11.0ms	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
8.0ms	(*.f64 x (sin.f64 y))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
16×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`prod-exp_binary64`

Counts

2 → 60

Calls

2 calls:

6.0ms	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
3.0ms	(*.f64 x (sin.f64 y))

simplify75.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-def_binary64`
618×	`associate-/l/_binary64`
562×	`fma-neg_binary64`
306×	`cancel-sign-sub-inv_binary64`
270×	`*-commutative_binary64`

Counts

108 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1174
1	302	1041
2	1005	1021
3	2512	1015
4	4899	1015
5	5022	1015

prune61.0ms (1.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	101	10	111

Error

Counts

111 → 10

Alt Table

Status	Error	Program
	34.0b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	15.9b	(.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
✓	5.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	36.1b	(.f64 (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3))) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	33.8b	(.f64 (.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (sqrt.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y)))
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	15.3b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	6.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
	35.3b	(.f64 (.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y)))

Compiler

Compiled 1673 to 811 computations (51.5% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	0.2b	(pow.f64 (/.f64 (sin.f64 y) y) 3)
✓	20.3b	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

series39.0ms (1%)

Counts

3 → 48

Calls

3 calls:

23.0ms	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
10.0ms	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
6.0ms	(pow.f64 (/.f64 (sin.f64 y) y) 3)

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`cbrt-prod_binary64`
65×	`add-sqr-sqrt_binary64`
56×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

3 → 151

Calls

3 calls:

12.0ms	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
3.0ms	(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
3.0ms	(pow.f64 (/.f64 (sin.f64 y) y) 3)

simplify112.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

893×	`times-frac_binary64`
611×	`log-prod_binary64`
323×	`unswap-sqr_binary64`
277×	`fma-def_binary64`
164×	`fma-neg_binary64`

Counts

199 → 192

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2784
1	490	2525
2	1654	2491
3	4190	2491
4	5313	2491

prune224.0ms (5.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	1	5	6
Picked	0	1	1
Done	1	2	3
Total	232	9	241

Error

Counts

241 → 9

Alt Table

Status	Error	Program
	34.0b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
	15.9b	(.f64 (.f64 x (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	6.7b	(.f64 -1 (/.f64 (.f64 (sin.f64 y) (*.f64 (cbrt.f64 -1) x)) y))
✓	5.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	36.1b	(.f64 (.f64 x (.f64 (.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3))) (cbrt.f64 (pow.f64 (sin.f64 y) 2/3)))) (/.f64 (cbrt.f64 (sin.f64 y)) y))
	16.4b	(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
✓	15.3b	(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
✓	6.9b	(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
	35.3b	(.f64 (.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 (/.f64 1 y))) (sqrt.f64 (/.f64 1 y)))

Compiler

Compiled 3746 to 1723 computations (54% saved)

regimes452.0ms (11.1%)

Accuracy

Total 0.1b remaining (80.9%)

Threshold costs 0.1b (80.9%)

Counts

86 → 1

Compiler

Compiled 4580 to 2944 computations (35.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	11	9

end115.0ms (2.8%)

Compiler: Compiled 153 to 98 computations (35.9% saved)

Details

analyze121.0ms (3%)

sample1.8s (44%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series17.0ms (0.4%)

rewrite25.0ms (0.6%)

simplify94.0ms (2.3%)

prune61.0ms (1.5%)

localize10.0ms (0.2%)

series495.0ms (12.2%)

rewrite30.0ms (0.7%)

simplify110.0ms (2.7%)

prune142.0ms (3.5%)

localize6.0ms (0.1%)

series19.0ms (0.5%)

rewrite12.0ms (0.3%)

simplify75.0ms (1.9%)

prune61.0ms (1.5%)

localize11.0ms (0.3%)

series39.0ms (1%)

rewrite29.0ms (0.7%)

simplify112.0ms (2.8%)

prune224.0ms (5.5%)

regimes452.0ms (11.1%)

simplify2.0ms (0%)

end115.0ms (2.8%)

Profiling