Details

analyze268.0ms (6.1%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample45.0ms (1%)

Algorithm

1×

intervals

Results

17.0ms	66×	body	1024	valid
9.0ms	139×	body	128	valid
6.0ms	33×	body	512	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.2b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.0b	(cos.f64 y)
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite71.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`sum-log_binary64` `flip3-+_binary64` `flip-+_binary64` `+-commutative_binary64`

Counts

4 → 54

Calls

4 calls:

4.0ms	(*.f64 z (sin.f64 y))
4.0ms	(*.f64 x (cos.f64 y))
4.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
1.0ms	(cos.f64 y)

Compiler

Compiled 781 to 187 computations (76.1% saved)

series98.0ms (2.2%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

44.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
18.0ms	(*.f64 x (cos.f64 y))
17.0ms	(*.f64 z (sin.f64 y))
6.0ms	(cos.f64 y)

Compiler

Compiled 868 to 557 computations (35.8% saved)

simplify154.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

427×	`neg-mul-1_binary64`
416×	`distribute-rgt-neg-in_binary64`
357×	`sub-neg_binary64`
285×	`cancel-sign-sub-inv_binary64`
260×	`*-commutative_binary64`

Counts

90 → 41

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	957
1	252	921
2	713	912
3	1322	912
4	2584	912
5	3516	912
6	4524	912
7	4891	912
8	4918	912

prune36.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	33	8	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	8	42

Error

0.1b

Counts

42 → 8

Alt Table

Status	Error	Program
	28.1b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	1.4b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
▶	0.3b	(+.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (.f64 z (sin.f64 y)))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.1b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	32.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	33.5b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	30.9b	(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))

Compiler

Compiled 781 to 295 computations (62.2% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
0.1b	(*.f64 z (sin.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
0.4b	(pow.f64 (cos.f64 y) 3)

rewrite144.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
18×	`associate-r_binary64`
17×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`unpow-prod-down_binary64` `cube-prod_binary64`
9×	`pow1_binary64` `add-exp-log_binary64`

Counts

4 → 96

Calls

4 calls:

8.0ms	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
4.0ms	(*.f64 z (sin.f64 y))
2.0ms	(pow.f64 (cos.f64 y) 3)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 1451 to 704 computations (51.5% saved)

series63.0ms (1.4%)

Error

0.1b

Counts

4 → 22

Calls

4 calls:

20.0ms	(*.f64 z (sin.f64 y))
17.0ms	(*.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 3)))
10.0ms	(pow.f64 (cos.f64 y) 3)
6.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 729 to 495 computations (32.1% saved)

simplify126.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

361×	`sqr-pow_binary64`
326×	`*-commutative_binary64`
321×	`log-prod_binary64`
306×	`distribute-rgt-in_binary64`
275×	`distribute-lft-in_binary64`

Counts

118 → 74

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	126	1058
1	246	969
2	796	950
3	1416	950
4	2395	947
5	4630	947
6	4933	947
7	4875	947

prune60.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	73	9	82

Error

0.1b

Counts

82 → 9

Alt Table

Status	Error	Program
▶	0.3b	(+.f64 (.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))) (.f64 z (sin.f64 y)))
	28.1b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	1.4b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.1b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	32.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	0.4b	(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	33.5b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	30.9b	(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))

Compiler

Compiled 979 to 433 computations (55.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 9))
0.3b	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))
0.8b	(pow.f64 (cos.f64 y) 9)

rewrite125.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`cbrt-prod_binary64`
15×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`unpow-prod-down_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`

Counts

4 → 68

Calls

4 calls:

6.0ms	(*.f64 z (sin.f64 y))
3.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))
2.0ms	(pow.f64 (cos.f64 y) 9)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 9))

Compiler

Compiled 1220 to 660 computations (45.9% saved)

series60.0ms (1.4%)

Error

0.1b

Counts

4 → 19

Calls

4 calls:

19.0ms	(*.f64 z (sin.f64 y))
13.0ms	(pow.f64 (cos.f64 y) 9)
12.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 9))
6.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))

Compiler

Compiled 704 to 498 computations (29.3% saved)

simplify127.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

440×	`sqr-pow_binary64`
362×	`associate-l_binary64`
285×	`associate-r_binary64`
240×	`unswap-sqr_binary64`
204×	`log-prod_binary64`

Counts

87 → 34

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	1023
1	205	992
2	510	960
3	1383	932
4	2497	922
5	3903	922
6	4704	922
7	4837	922

prune41.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Error

0.1b

Counts

43 → 9

Alt Table

Status	Error	Program
✓	0.3b	(+.f64 (.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))) (.f64 z (sin.f64 y)))
	28.1b	(+.f64 (.f64 (sqrt.f64 x) (.f64 (cos.f64 y) (sqrt.f64 x))) (*.f64 z (sin.f64 y)))
	1.4b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	31.1b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	32.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
▶	0.4b	(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	33.5b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	30.9b	(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))

Compiler

Compiled 746 to 398 computations (46.6% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite116.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-exp-log_binary64`
12×	`cbrt-prod_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`pow1_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
6×	`unpow-prod-down_binary64` `associate-r_binary64`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1380 to 495 computations (64.1% saved)

series74.0ms (1.7%)

Error

0.1b

Counts

4 → 17

Calls

4 calls:

18.0ms	(.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
17.0ms	(cbrt.f64 (cos.f64 y))
14.0ms	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
13.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 699 to 461 computations (34% saved)

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

650×	`distribute-rgt-in_binary64`
608×	`distribute-lft-in_binary64`
326×	`*-commutative_binary64`
258×	`sqr-pow_binary64`
232×	`log-prod_binary64`

Counts

83 → 54

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	767
1	204	681
2	641	673
3	1108	665
4	1836	643
5	4693	643
6	4836	643

prune45.0ms (1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	54	9	63

Error

0.1b

Counts

63 → 9

Alt Table

Status	Error	Program
	0.3b	(+.f64 (.f64 x (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 9)))) (.f64 z (sin.f64 y)))
	1.4b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x)))) (cbrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (sin.f64 y) (cbrt.f64 z))))
	0.6b	(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 8)) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (*.f64 z (sin.f64 y)))
	31.1b	(/.f64 (-.f64 (.f64 (.f64 (cos.f64 y) x) (.f64 (cos.f64 y) x)) (.f64 (.f64 z (sin.f64 y)) (.f64 z (sin.f64 y)))) (-.f64 (.f64 (cos.f64 y) x) (.f64 z (sin.f64 y))))
	32.8b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sin.f64 y) (sqrt.f64 z))))
	0.4b	(+.f64 (.f64 (.f64 x (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	33.5b	(exp.f64 (log.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))))
	30.9b	(.f64 (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (.f64 (cos.f64 y) x))) (sqrt.f64 (+.f64 (.f64 z (sin.f64 y)) (*.f64 (cos.f64 y) x))))

Compiler

Compiled 779 to 323 computations (58.5% saved)

regimes987.0ms (22.4%)

Accuracy

Total 0.1b remaining (52.4%)

Threshold costs 0.1b (52.4%)

Compiler

Compiled 12908 to 8670 computations (32.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

end1.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

sample1.6s (36.5%)

Algorithm

1×

intervals

Results

548.0ms	1954×	body	1024	valid
307.0ms	4482×	body	128	valid
191.0ms	1028×	body	512	valid
74.0ms	533×	body	256	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 224 to 121 computations (46% saved)

Details

analyze268.0ms (6.1%)

sample45.0ms (1%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize12.0ms (0.3%)

rewrite71.0ms (1.6%)

series98.0ms (2.2%)

simplify154.0ms (3.5%)

prune36.0ms (0.8%)

localize14.0ms (0.3%)

rewrite144.0ms (3.3%)

series63.0ms (1.4%)

simplify126.0ms (2.9%)

prune60.0ms (1.4%)

localize13.0ms (0.3%)

rewrite125.0ms (2.8%)

series60.0ms (1.4%)

simplify127.0ms (2.9%)

prune41.0ms (0.9%)

localize12.0ms (0.3%)

rewrite116.0ms (2.6%)

series74.0ms (1.7%)

simplify90.0ms (2.1%)

prune45.0ms (1%)

regimes987.0ms (22.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.6s (36.5%)

Profiling