Details

analyze354.0ms (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	56
0	3	3
1	3	3

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 10 to 9 computations (10% saved)

sample49.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	60×	body	1024	valid
10.0ms	152×	body	128	valid
6.0ms	32×	body	512	valid
2.0ms	12×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune2.0ms (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

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_6579`
7×	`pow1_binary64_6618` `add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
6×	`associate-l_binary64_6498` `associate-r_binary64_6497`
5×	`add-log-exp_binary64_6596`
2×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488`
1×	`sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series381.0ms (7.3%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

219.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
70.0ms	(*.f64 z (sin.f64 y))
69.0ms	(*.f64 x (cos.f64 y))

Compiler

Compiled 836 to 532 computations (36.4% saved)

simplify115.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4820	905
1	4820	905

prune69.0ms (1.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	71	10	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	10	82

Error

0.0b

Counts

82 → 10

Compiler

Compiled 1170 to 326 computations (72.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite76.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series314.0ms (6%)

Error

0.0b

Counts

4 → 16

Calls

4 calls:

94.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
73.0ms	(cbrt.f64 (cos.f64 y))
68.0ms	(cbrt.f64 (cos.f64 y))
63.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 840 to 522 computations (37.9% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4872	740
1	4872	740

prune83.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Error

0.0b

Counts

99 → 12

Compiler

Compiled 2020 to 571 computations (71.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.1b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.2b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite104.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_6595`
13×	`add-sqr-sqrt_binary64_6579`
12×	`prod-exp_binary64_6606`
11×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
10×	`add-cbrt-cube_binary64_6593`
9×	`pow1_binary64_6618` `associate-r_binary64_6497`
6×	`cbrt-prod_binary64_6588` `cbrt-unprod_binary64_6590`
5×	`pow-exp_binary64_6625`
4×	`add-log-exp_binary64_6596` `associate-l_binary64_6498`
3×	`unpow-prod-down_binary64_6636` `pow-unpow_binary64_6634` `pow-to-exp_binary64_6626`
2×	`pow-prod-down_binary64_6628` `*-commutative_binary64_6488`
1×	`pow1/3_binary64_6639` `pow-pow_binary64_6629` `unpow2_binary64_6622` `sqr-pow_binary64_6529` `unpow1/3_binary64_6624` `unswap-sqr_binary64_6525`

Counts

4 → 72

Calls

4 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1641 to 746 computations (54.5% saved)

series248.0ms (4.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

81.0ms	(*.f64 z (sin.f64 y))
66.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
59.0ms	(cbrt.f64 (cos.f64 y))
23.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1073 to 752 computations (29.9% saved)

simplify83.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4904	804
1	4904	804

prune95.0ms (1.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 1898 to 798 computations (58% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite73.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series315.0ms (6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
74.0ms	(cbrt.f64 z)
73.0ms	(cbrt.f64 z)
71.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune60.0ms (1.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	84	12	96

Error

0.0b

Counts

96 → 12

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes325.0ms (6.2%)

Accuracy

Total 0.1b remaining (78.1%)

Threshold costs 0.1b (78.1%)

Compiler

Compiled 3180 to 2130 computations (33% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample2.2s (42.6%)

Algorithm

1×

intervals

Results

581.0ms	2042×	body	1024	valid
316.0ms	4450×	body	128	valid
195.0ms	1015×	body	512	valid
74.0ms	490×	body	256	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 808 to 544 computations (32.7% saved)

Details

analyze354.0ms (6.8%)

sample49.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.2%)

rewrite57.0ms (1.1%)

series381.0ms (7.3%)

simplify115.0ms (2.2%)

prune69.0ms (1.3%)

localize12.0ms (0.2%)

rewrite76.0ms (1.4%)

series314.0ms (6%)

simplify79.0ms (1.5%)

prune83.0ms (1.6%)

localize15.0ms (0.3%)

rewrite104.0ms (2%)

series248.0ms (4.7%)

simplify83.0ms (1.6%)

prune95.0ms (1.8%)

localize12.0ms (0.2%)

rewrite73.0ms (1.4%)

series315.0ms (6%)

simplify76.0ms (1.4%)

prune60.0ms (1.1%)

regimes325.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (42.6%)

Profiling