Details

analyze301.0ms (6.7%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample43.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	57×	body	1024	valid
10.0ms	154×	body	128	valid
6.0ms	33×	body	512	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify9.0ms (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

0.1b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite61.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 689 to 163 computations (76.3% saved)

series92.0ms (2%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

38.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
19.0ms	(*.f64 z (cos.f64 y))
18.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 932 to 589 computations (36.8% saved)

simplify104.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

419×	`distribute-rgt-neg-in_binary64`
387×	`sub-neg_binary64`
325×	`distribute-lft-neg-in_binary64`
264×	`*-commutative_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

83 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1020
1	322	991
2	950	967
3	1787	958
4	3576	958
5	4793	958
6	4971	958

prune39.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Error

0.1b

Counts

43 → 7

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (.f64 (cos.f64 y) z))))
	17.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	33.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z))))
▶	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	40.0b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))

Compiler

Compiled 850 to 334 computations (60.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite100.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1422 to 304 computations (78.6% saved)

series71.0ms (1.6%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
15.0ms	(cbrt.f64 x)
15.0ms	(cbrt.f64 x)
14.0ms	(cbrt.f64 x)

Compiler

Compiled 671 to 429 computations (36.1% saved)

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

735×	`log-prod_binary64`
577×	`distribute-rgt-in_binary64`
538×	`distribute-lft-in_binary64`
525×	`unswap-sqr_binary64`
287×	`associate-l_binary64`

Counts

85 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	624
1	94	576
2	292	556
3	763	542
4	1759	418
5	4280	418
6	4543	418
7	4810	418

prune41.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Error

0.1b

Counts

71 → 8

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
▶	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (.f64 (cos.f64 y) z))))
	0.9b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (sin.f64 y) (cbrt.f64 x))) (*.f64 z (cos.f64 y)))
	17.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	33.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z))))
✓	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	40.0b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))

Compiler

Compiled 945 to 369 computations (61% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) z))
0.6b	(cbrt.f64 (*.f64 (cos.f64 y) z))

rewrite75.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 1493 to 231 computations (84.5% saved)

series231.0ms (5.1%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

64.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
45.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
45.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
44.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 2741 to 1573 computations (42.6% saved)

simplify144.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

587×	`unswap-sqr_binary64`
483×	`log-prod_binary64`
366×	`cancel-sign-sub-inv_binary64`
250×	`*-commutative_binary64`
242×	`distribute-rgt-neg-in_binary64`

Counts

94 → 78

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	120	1405
1	289	1296
2	814	1157
3	1729	1074
4	4579	1033
5	4946	1024
6	4914	1024
7	5191	1024

prune69.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	75	11	86

Error

0.1b

Counts

86 → 11

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
✓	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (.f64 (cos.f64 y) z))))
	18.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (.f64 (cos.f64 y) z))))
▶	0.9b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (sin.f64 y) (cbrt.f64 x))) (*.f64 z (cos.f64 y)))
	17.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	33.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z))))
	33.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 1/6))))
✓	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	1.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))
	40.0b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))

Compiler

Compiled 1914 to 657 computations (65.7% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.8b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite102.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
3.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
1.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1606 to 469 computations (70.8% saved)

series97.0ms (2.2%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
24.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
20.0ms	(cbrt.f64 (cbrt.f64 x))
16.0ms	(cbrt.f64 x)

Compiler

Compiled 889 to 573 computations (35.5% saved)

simplify130.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

526×	`log-prod_binary64`
498×	`swap-sqr_binary64`
471×	`cube-prod_binary64`
378×	`associate-l_binary64`
357×	`distribute-rgt-neg-in_binary64`

Counts

70 → 47

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	82	718
1	155	656
2	366	641
3	1673	640
4	2801	578
5	3932	570
6	4677	570
7	4803	570

prune41.0ms (0.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	46	12	58

Error

0.0b

Counts

58 → 12

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))) (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (cbrt.f64 (.f64 (cos.f64 y) z))))
	18.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 2)) (cbrt.f64 (.f64 (cos.f64 y) z))))
	0.9b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (sin.f64 y) (cbrt.f64 x))) (*.f64 z (cos.f64 y)))
	17.6b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	33.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
	30.6b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (cos.f64 y) (sqrt.f64 z))))
	29.9b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	33.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (.f64 z (cos.f64 y)) 1/6))))
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (sin.f64 y) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	1.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (.f64 (cos.f64 y) z))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))))))
	40.0b	(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (.f64 (.f64 x (sin.f64 y)) (.f64 x (sin.f64 y))) (.f64 (cos.f64 y) (.f64 z (-.f64 (.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y)))))))

Compiler

Compiled 943 to 399 computations (57.7% saved)

regimes914.0ms (20.3%)

Accuracy

Total 0.1b remaining (50.1%)

Threshold costs 0.1b (50.1%)

Compiler

Compiled 14479 to 8363 computations (42.2% saved)

simplify5.0ms (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)

sample1.7s (37.2%)

Algorithm

1×

intervals

Results

517.0ms	1920×	body	1024	valid
324.0ms	4532×	body	128	valid
198.0ms	1013×	body	512	valid
68.0ms	526×	body	256	valid
4.0ms	9×	body	2048	valid

Compiler

Compiled 349 to 187 computations (46.4% saved)

Details

analyze301.0ms (6.7%)

sample43.0ms (1%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize17.0ms (0.4%)

rewrite61.0ms (1.4%)

series92.0ms (2%)

simplify104.0ms (2.3%)

prune39.0ms (0.9%)

localize12.0ms (0.3%)

rewrite100.0ms (2.2%)

series71.0ms (1.6%)

simplify94.0ms (2.1%)

prune41.0ms (0.9%)

localize14.0ms (0.3%)

rewrite75.0ms (1.7%)

series231.0ms (5.1%)

simplify144.0ms (3.2%)

prune69.0ms (1.5%)

localize20.0ms (0.5%)

rewrite102.0ms (2.3%)

series97.0ms (2.2%)

simplify130.0ms (2.9%)

prune41.0ms (0.9%)

regimes914.0ms (20.3%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.7s (37.2%)

Profiling