Details

analyze371.0ms (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
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 10 to 9 computations (10% saved)

sample49.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	58×	body	1024	valid
10.0ms	155×	body	128	valid
5.0ms	25×	body	512	valid
2.0ms	18×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify8.0ms (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)

localize7.0ms (0.1%)

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))

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-sqr-sqrt_binary64_3851`
7×	`pow1_binary64_3890` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
6×	`associate-l_binary64_3770` `associate-r_binary64_3769`
5×	`add-log-exp_binary64_3868`
2×	`pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `unswap-sqr_binary64_3797` `*-commutative_binary64_3760`
1×	`sum-log_binary64_3920` `flip3-+_binary64_3832` `flip-+_binary64_3803` `+-commutative_binary64_3759`

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 730 to 175 computations (76% saved)

series364.0ms (6.7%)

Error

0.1b

Counts

3 → 34

Calls

3 calls:

202.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
73.0ms	(*.f64 x (sin.f64 y))
70.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 836 to 533 computations (36.2% saved)

simplify100.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4874	905
1	4874	905

prune66.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	74	7	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	7	82

Error

0.0b

Counts

82 → 7

Compiler

Compiled 1092 to 288 computations (73.6% 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))

rewrite73.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-l_binary64_3770` `associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `unswap-sqr_binary64_3797`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`pow2_binary64_3910` `pow-plus_binary64_3892` `prod-exp_binary64_3878` `cbrt-unprod_binary64_3862` `*-commutative_binary64_3760`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.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)

series284.0ms (5.2%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

70.0ms	(cbrt.f64 (cos.f64 y))
70.0ms	(cbrt.f64 (cos.f64 y))
68.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
63.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune77.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	87	8	95

Error

0.0b

Counts

95 → 8

Compiler

Compiled 1900 to 513 computations (73% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite128.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_3867`
22×	`add-sqr-sqrt_binary64_3851`
19×	`unpow-prod-down_binary64_3908`
18×	`associate-r_binary64_3769`
16×	`prod-exp_binary64_3878`
13×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`add-cbrt-cube_binary64_3865`
9×	`pow-exp_binary64_3897`
7×	`pow1_binary64_3890` `cbrt-unprod_binary64_3862`
6×	`cbrt-prod_binary64_3860` `unswap-sqr_binary64_3797`
5×	`pow-to-exp_binary64_3898` `sqr-pow_binary64_3801`
4×	`add-log-exp_binary64_3868` `associate-l_binary64_3770`
3×	`pow-unpow_binary64_3906` `unpow2_binary64_3894`
2×	`unpow1/3_binary64_3896` `*-commutative_binary64_3760`
1×	`pow1/3_binary64_3911` `pow-pow_binary64_3901` `pow-prod-down_binary64_3900`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2148 to 1014 computations (52.8% saved)

series398.0ms (7.3%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

227.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
71.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
65.0ms	(cbrt.f64 (cos.f64 y))
19.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 845 to 595 computations (29.6% saved)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4901	1019
1	4901	1019

prune98.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	6	6
Picked	1	0	1
Done	1	0	1
Total	110	8	118

Error

0.0b

Counts

118 → 8

Compiler

Compiled 2109 to 830 computations (60.6% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 z (cbrt.f64 (fabs.f64 (cos.f64 y)))) (pow.f64 (sqrt.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 (fabs.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite101.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-exp-log_binary64_3867`
16×	`prod-exp_binary64_3878`
11×	`add-cbrt-cube_binary64_3865` `cbrt-unprod_binary64_3862`
10×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
9×	`cbrt-prod_binary64_3860`
7×	`pow1_binary64_3890`
6×	`associate-r_binary64_3769`
4×	`add-log-exp_binary64_3868`
3×	`unpow-prod-down_binary64_3908` `pow-unpow_binary64_3906` `pow-to-exp_binary64_3898` `pow-exp_binary64_3897`
2×	`pow1/3_binary64_3911` `unpow1/3_binary64_3896`
1×	`pow-pow_binary64_3901` `unpow2_binary64_3894` `sqr-pow_binary64_3801` `pow-prod-down_binary64_3900` `associate-l_binary64_3770` `*-commutative_binary64_3760`

Counts

4 → 68

Calls

4 calls:

12.0ms	(.f64 (.f64 (*.f64 z (cbrt.f64 (fabs.f64 (cos.f64 y)))) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (fabs.f64 (cos.f64 y)))

Compiler

Compiled 2041 to 806 computations (60.5% saved)

series601.0ms (11%)

Error

0.0b

Counts

4 → 17

Calls

4 calls:

407.0ms	(.f64 (.f64 (*.f64 z (cbrt.f64 (fabs.f64 (cos.f64 y)))) (pow.f64 (sqrt.f64 (pow.f64 (cos.f64 y) 2)) 1/3)) (cbrt.f64 (cos.f64 y)))
83.0ms	(cbrt.f64 (fabs.f64 (cos.f64 y)))
75.0ms	(cbrt.f64 (cos.f64 y))
19.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1062 to 729 computations (31.4% saved)

simplify82.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4975	740
1	4975	740

prune74.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 1794 to 617 computations (65.6% saved)

regimes252.0ms (4.6%)

Accuracy

Total 0.1b remaining (75.9%)

Threshold costs 0.1b (75.9%)

Compiler

Compiled 2308 to 1670 computations (27.6% 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%)

sample2.0s (37.6%)

Algorithm

1×

intervals

Results

554.0ms	2014×	body	1024	valid
322.0ms	4566×	body	128	valid
179.0ms	944×	body	512	valid
61.0ms	474×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 590 to 429 computations (27.3% saved)

Details

analyze371.0ms (6.8%)

sample49.0ms (0.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite57.0ms (1.1%)

series364.0ms (6.7%)

simplify100.0ms (1.8%)

prune66.0ms (1.2%)

localize12.0ms (0.2%)

rewrite73.0ms (1.3%)

series284.0ms (5.2%)

simplify92.0ms (1.7%)

prune77.0ms (1.4%)

localize14.0ms (0.2%)

rewrite128.0ms (2.3%)

series398.0ms (7.3%)

simplify63.0ms (1.2%)

prune98.0ms (1.8%)

localize21.0ms (0.4%)

rewrite101.0ms (1.9%)

series601.0ms (11%)

simplify82.0ms (1.5%)

prune74.0ms (1.4%)

regimes252.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (37.6%)

Profiling