Details

analyze346.0ms (6.3%)

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

17.0ms	65×	body	1024	valid
9.0ms	147×	body	128	valid
6.0ms	30×	body	512	valid
5.0ms	14×	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)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

11×	`add-sqr-sqrt_binary64_4874`
7×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
6×	`associate-l_binary64_4793` `associate-r_binary64_4792`
5×	`add-log-exp_binary64_4891`
2×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `*-commutative_binary64_4783`
1×	`sum-log_binary64_4943` `flip3-+_binary64_4855` `flip-+_binary64_4826` `+-commutative_binary64_4782`

Counts

3 → 47

Calls

3 calls:

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

Compiler

Compiled 730 to 175 computations (76% saved)

series376.0ms (6.9%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

216.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
69.0ms	(*.f64 x (cos.f64 y))
66.0ms	(*.f64 z (sin.f64 y))

Compiler

Compiled 918 to 588 computations (35.9% saved)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4894	958
1	4894	958

prune71.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	74	9	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	9	84

Error

0.1b

Counts

84 → 9

Compiler

Compiled 1178 to 348 computations (70.5% saved)

localize14.0ms (0.3%)

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))

rewrite86.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
6×	`add-exp-log_binary64_4890` `swap-sqr_binary64_4819` `associate-l_binary64_4793` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `unswap-sqr_binary64_4820`
2×	`pow-prod-down_binary64_4923` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `*-commutative_binary64_4783`

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)

series371.0ms (6.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
83.0ms	(cbrt.f64 (cos.f64 y))
75.0ms	(cbrt.f64 (cos.f64 y))
70.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune93.0ms (1.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Error

0.0b

Counts

106 → 10

Compiler

Compiled 2214 to 685 computations (69.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(.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))

rewrite99.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-exp-log_binary64_4890`
13×	`add-sqr-sqrt_binary64_4874`
12×	`prod-exp_binary64_4901`
11×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
10×	`add-cbrt-cube_binary64_4888`
9×	`pow1_binary64_4913` `associate-r_binary64_4792`
6×	`cbrt-prod_binary64_4883` `cbrt-unprod_binary64_4885`
5×	`pow-exp_binary64_4920`
4×	`add-log-exp_binary64_4891` `associate-l_binary64_4793`
3×	`unpow-prod-down_binary64_4931` `pow-unpow_binary64_4929` `pow-to-exp_binary64_4921`
2×	`pow-prod-down_binary64_4923` `*-commutative_binary64_4783`
1×	`pow1/3_binary64_4934` `pow-pow_binary64_4924` `unpow2_binary64_4917` `sqr-pow_binary64_4824` `unpow1/3_binary64_4919` `unswap-sqr_binary64_4820`

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)

series281.0ms (5.1%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

82.0ms	(cbrt.f64 (cos.f64 y))
74.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
71.0ms	(*.f64 z (sin.f64 y))
26.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1332 to 937 computations (29.7% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4888	945
1	4888	945

prune96.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Error

0.0b

Counts

112 → 10

Compiler

Compiled 2027 to 893 computations (55.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite89.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`cbrt-prod_binary64_4883`
11×	`add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
10×	`pow1_binary64_4913` `add-exp-log_binary64_4890`
6×	`add-cbrt-cube_binary64_4888` `unpow-prod-down_binary64_4931` `associate-r_binary64_4792`
4×	`add-log-exp_binary64_4891`
3×	`pow-unpow_binary64_4929` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885`
2×	`pow1/3_binary64_4934` `unpow2_binary64_4917` `sqr-pow_binary64_4824`
1×	`pow-pow_binary64_4924` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `associate-l_binary64_4793` `*-commutative_binary64_4783`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series322.0ms (5.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

115.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
83.0ms	(cbrt.f64 (cos.f64 y))
78.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
24.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1095 to 771 computations (29.6% saved)

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4907	880
1	4907	880

prune74.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	93	10	103

Error

0.0b

Counts

103 → 10

Compiler

Compiled 1640 to 623 computations (62% saved)

regimes360.0ms (6.6%)

Accuracy

Total 0.1b remaining (72.9%)

Threshold costs 0.1b (72.9%)

Compiler

Compiled 3496 to 2566 computations (26.6% 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%)

sample2.3s (42.3%)

Algorithm

1×

intervals

Results

552.0ms	1958×	body	1024	valid
317.0ms	4544×	body	128	valid
191.0ms	988×	body	512	valid
71.0ms	503×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 887 to 653 computations (26.4% saved)

Details

analyze346.0ms (6.3%)

sample49.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite57.0ms (1.1%)

series376.0ms (6.9%)

simplify76.0ms (1.4%)

prune71.0ms (1.3%)

localize14.0ms (0.3%)

rewrite86.0ms (1.6%)

series371.0ms (6.8%)

simplify93.0ms (1.7%)

prune93.0ms (1.7%)

localize16.0ms (0.3%)

rewrite99.0ms (1.8%)

series281.0ms (5.1%)

simplify66.0ms (1.2%)

prune96.0ms (1.8%)

localize16.0ms (0.3%)

rewrite89.0ms (1.6%)

series322.0ms (5.9%)

simplify85.0ms (1.5%)

prune74.0ms (1.4%)

regimes360.0ms (6.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (42.3%)

Profiling