Details

analyze553.0ms (9.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	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
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample46.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	39×	body	1024	valid
12.0ms	182×	body	128	valid
5.0ms	22×	body	512	valid
2.0ms	12×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune5.0ms (0.1%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite46.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-log-exp_binary64_5914`
6×	`add-sqr-sqrt_binary64_5897`
4×	`pow1_binary64_5936` `add-exp-log_binary64_5913` `add-cbrt-cube_binary64_5911` `add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
3×	`associate-l_binary64_5816` `associate-r_binary64_5815` `sum-log_binary64_5966`
1×	`pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `*-commutative_binary64_5806` `flip3-+_binary64_5878` `flip-+_binary64_5849` `associate-+l+_binary64_5808` `+-commutative_binary64_5805`

Counts

2 → 31

Calls

2 calls:

8.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
8.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 497 to 116 computations (76.7% saved)

series348.0ms (6.1%)

Error

0.0b

Counts

2 → 25

Calls

2 calls:

239.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
90.0ms	(*.f64 z (cos.f64 y))

Compiler

Compiled 535 to 346 computations (35.3% saved)

simplify157.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4935	674
1	4935	674

prune53.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Compiler

Compiled 709 to 160 computations (77.4% saved)

localize17.0ms (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))

rewrite112.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `swap-sqr_binary64_5842` `associate-l_binary64_5816` `associate-r_binary64_5815`
4×	`add-log-exp_binary64_5914` `add-cbrt-cube_binary64_5911` `unswap-sqr_binary64_5843`
2×	`pow-prod-down_binary64_5946` `pow-prod-up_binary64_5945` `pow-sqr_binary64_5848`
1×	`pow2_binary64_5956` `pow-plus_binary64_5938` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series358.0ms (6.3%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

111.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
85.0ms	(cbrt.f64 (cos.f64 y))
84.0ms	(cbrt.f64 (cos.f64 y))
65.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 798 to 492 computations (38.3% saved)

simplify91.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4815	730
1	4815	730

prune95.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	86	7	93

Error

Counts

93 → 7

Compiler

Compiled 1861 to 492 computations (73.6% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite107.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`cbrt-prod_binary64_5906`
11×	`add-cube-cbrt_binary64_5910` `add-sqr-sqrt_binary64_5897` `*-un-lft-identity_binary64_5875`
10×	`pow1_binary64_5936` `add-exp-log_binary64_5913`
6×	`add-cbrt-cube_binary64_5911` `unpow-prod-down_binary64_5954` `associate-r_binary64_5815`
4×	`add-log-exp_binary64_5914`
3×	`pow-unpow_binary64_5952` `pow-prod-down_binary64_5946` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908`
2×	`pow1/3_binary64_5957` `unpow2_binary64_5940` `sqr-pow_binary64_5847`
1×	`pow-pow_binary64_5947` `pow-to-exp_binary64_5944` `pow-exp_binary64_5943` `associate-l_binary64_5816` `*-commutative_binary64_5806`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series263.0ms (4.6%)

Error

Counts

4 → 17

Calls

4 calls:

82.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
79.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
71.0ms	(cbrt.f64 (cos.f64 y))
21.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 676 to 475 computations (29.7% saved)

simplify90.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5017	675

prune101.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	83	7	90

Error

Counts

90 → 7

Compiler

Compiled 1453 to 536 computations (63.1% saved)

localize23.0ms (0.4%)

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)

rewrite98.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_5906`
23×	`add-sqr-sqrt_binary64_5897`
15×	`add-cube-cbrt_binary64_5910` `*-un-lft-identity_binary64_5875`
11×	`pow1_binary64_5936`
9×	`pow1/3_binary64_5957`
6×	`add-exp-log_binary64_5913` `swap-sqr_binary64_5842` `associate-l_binary64_5816` `associate-r_binary64_5815`
4×	`add-log-exp_binary64_5914` `add-cbrt-cube_binary64_5911` `unswap-sqr_binary64_5843`
2×	`pow-prod-down_binary64_5946` `pow-prod-up_binary64_5945` `pow-sqr_binary64_5848`
1×	`pow2_binary64_5956` `pow-plus_binary64_5938` `prod-exp_binary64_5924` `cbrt-unprod_binary64_5908` `*-commutative_binary64_5806`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)
2.0ms	(cbrt.f64 z)

Compiler

Compiled 1524 to 318 computations (79.1% saved)

series379.0ms (6.7%)

Error

Counts

4 → 12

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
90.0ms	(cbrt.f64 z)
83.0ms	(cbrt.f64 z)
77.0ms	(cbrt.f64 z)

Compiler

Compiled 663 to 450 computations (32.1% saved)

simplify129.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune75.0ms (1.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Error

Counts

92 → 7

Compiler

Compiled 1573 to 371 computations (76.4% saved)

regimes238.0ms (4.2%)

Accuracy

Total 0.0b remaining (73.7%)

Threshold costs 0.0b (73.7%)

Compiler

Compiled 1472 to 1158 computations (21.3% 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 (39.8%)

Algorithm

1×

intervals

Results

665.0ms	1305×	body	1024	valid
474.0ms	5717×	body	128	valid
150.0ms	649×	body	512	valid
51.0ms	322×	body	256	valid
4.0ms	7×	body	2048	valid

Compiler

Compiled 381 to 301 computations (21% saved)

Details

analyze553.0ms (9.7%)

sample46.0ms (0.8%)

simplify9.0ms (0.2%)

prune5.0ms (0.1%)

localize16.0ms (0.3%)

rewrite46.0ms (0.8%)

series348.0ms (6.1%)

simplify157.0ms (2.8%)

prune53.0ms (0.9%)

localize17.0ms (0.3%)

rewrite112.0ms (2%)

series358.0ms (6.3%)

simplify91.0ms (1.6%)

prune95.0ms (1.7%)

localize12.0ms (0.2%)

rewrite107.0ms (1.9%)

series263.0ms (4.6%)

simplify90.0ms (1.6%)

prune101.0ms (1.8%)

localize23.0ms (0.4%)

rewrite98.0ms (1.7%)

series379.0ms (6.7%)

simplify129.0ms (2.3%)

prune75.0ms (1.3%)

regimes238.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (39.8%)

Profiling