Details

analyze342.0ms (4.6%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample119.0ms (1.6%)

Algorithm

1×

intervals

Results

60.0ms	156×	body	1024	valid
14.0ms	65×	body	1024	invalid
12.0ms	60×	body	512	valid
8.0ms	13×	body	2048	valid
5.0ms	33×	body	512	invalid
2.0ms	22×	body	256	invalid
2.0ms	16×	body	256	valid
2.0ms	31×	body	128	invalid
1.0ms	11×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify176.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5340	18

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

58.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`cancel-sign-sub-inv_binary64_1749`
7×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1_binary64_1844`
6×	`add-cube-cbrt_binary64_1818`
5×	`associate-r_binary64_1723`
4×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `add-log-exp_binary64_1822`
3×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-prod-down_binary64_1854` `sub-neg_binary64_1776`
2×	`flip3--_binary64_1787` `associate-*r/_binary64_1725` `difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735` `flip--_binary64_1758`
1×	`associate-l_binary64_1724` `diff-log_binary64_1875` `*-commutative_binary64_1714`

Counts

2 → 46

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series194.0ms (2.6%)

Counts

2 → 16

Calls

2 calls:

164.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
30.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 367 to 310 computations (15.5% saved)

simplify71.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5053	1131

prune101.0ms (1.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Compiler

Compiled 1053 to 443 computations (57.9% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.1b	(*.f64 (pow.f64 im 3) 1/6)
0.1b	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
0.0b	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.0b	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.1b	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
0.1b	(*.f64 (pow.f64 im 3) 1/6)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_1805`
15×	`associate-l_binary64_1724`
10×	`add-exp-log_binary64_1821`
9×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`add-cbrt-cube_binary64_1819` `add-log-exp_binary64_1822`
6×	`associate-r_binary64_1723`
5×	`unswap-sqr_binary64_1751` `pow1_binary64_1844`
4×	`prod-exp_binary64_1832` `unpow-prod-down_binary64_1862` `cube-prod_binary64_1811`
3×	`cancel-sign-sub-inv_binary64_1749` `sub-neg_binary64_1776`
2×	`flip3--_binary64_1787` `associate-r/_binary64_1725` `sqr-pow_binary64_1755` `distribute-lft-in_binary64_1732` `cbrt-unprod_binary64_1816` `diff-log_binary64_1875` `-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `flip--_binary64_1758`
1×	`cube-mult_binary64_1813` `unpow3_binary64_1849` `associate--l-_binary64_1721` `neg-sub0_binary64_1778` `neg-log_binary64_1876` `pow-prod-down_binary64_1854` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

3 → 69

Calls

6 calls:

8.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
6.0ms	(*.f64 (pow.f64 im 3) 1/6)
5.0ms	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.0ms	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))

series518.0ms (6.9%)

Counts

3 → 21

Calls

3 calls:

231.0ms	(*.f64 (pow.f64 im 3) 1/6)
225.0ms	(.f64 (cos.f64 re) (-.f64 (neg.f64 im) (.f64 (pow.f64 im 3) 1/6)))
62.0ms	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))

Compiler

Compiled 446 to 388 computations (13% saved)

simplify70.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5043	1296

prune108.0ms (1.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	7	90
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	83	11	94

Error

0.0b

Counts

94 → 11

Compiler

Compiled 1642 to 1048 computations (36.2% saved)

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (cos.f64 re))))
0.1b	(*.f64 (pow.f64 im 3) -1/6)
0.1b	(.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im) (cbrt.f64 (cos.f64 re)))
0.0b	(-.f64 (*.f64 (pow.f64 im 3) -1/6) im)
0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`pow1/3_binary64_1865`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
0.0ms	(-.f64 (*.f64 (pow.f64 im 3) -1/6) im)

series361.0ms (4.8%)

Counts

4 → 24

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
84.0ms	(cbrt.f64 (cos.f64 re))
82.0ms	(cbrt.f64 (cos.f64 re))
78.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 712 to 552 computations (22.5% saved)

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4952	928
1	4952	928

prune111.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	97	11	108

Error

0.0b

Counts

108 → 11

Compiler

Compiled 2367 to 1172 computations (50.5% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (cos.f64 re) (.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im))))
0.0b	(-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6))
0.0b	(-.f64 (*.f64 (pow.f64 im 3) -1/6) im)
0.0b	(-.f64 (*.f64 (pow.f64 im 3) -1/6) im)
0.6b	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
0.6b	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-div_binary64_1815`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`flip3--_binary64_1787` `pow1/3_binary64_1865` `flip--_binary64_1758`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 87

Calls

8 calls:

18.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
5.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
4.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))
0.0ms	(-.f64 (*.f64 (pow.f64 im 3) -1/6) im)

series347.0ms (4.6%)

Counts

4 → 18

Calls

4 calls:

138.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 (pow.f64 im 3) -1/6) im)) (cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im)))
73.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))
70.0ms	(cbrt.f64 (-.f64 (neg.f64 im) (*.f64 (pow.f64 im 3) 1/6)))
66.0ms	(cbrt.f64 (-.f64 (*.f64 (pow.f64 im 3) -1/6) im))

Compiler

Compiled 1295 to 1157 computations (10.7% saved)

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4979	2213
1	4979	2213

prune201.0ms (2.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	105	11	116

Error

0.0b

Counts

116 → 11

Compiler

Compiled 3692 to 2675 computations (27.5% saved)

simplify73.0ms (1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	1874	946
1	1874	946

regimes175.0ms (2.3%)

Compiler: Compiled 1688 to 1349 computations (20.1% saved)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

Compiler: Compiled 77 to 101 computations (-31.2% saved)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

Accuracy

Total 0.9b remaining (94.6%)

Threshold costs 0.9b (94.6%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch2.0ms (0%)

Compiler: Compiled 19 to 20 computations (-5.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	28
1	42	28

end0.0ms (0%)

sample4.1s (55.2%)

Algorithm

1×

intervals

Results

1.8s	4836×	body	1024	valid
405.0ms	1859×	body	1024	invalid
345.0ms	1670×	body	512	valid
232.0ms	426×	body	2048	valid
148.0ms	972×	body	512	invalid
87.0ms	706×	body	256	valid
55.0ms	490×	body	256	invalid
43.0ms	710×	body	128	invalid
23.0ms	362×	body	128	valid

Compiler

Compiled 634 to 508 computations (19.9% saved)

Pareto

0.05799441759348207

Details

analyze342.0ms (4.6%)

sample119.0ms (1.6%)

simplify176.0ms (2.4%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite22.0ms (0.3%)

series194.0ms (2.6%)

simplify71.0ms (1%)

prune101.0ms (1.4%)

localize8.0ms (0.1%)

rewrite25.0ms (0.3%)

series518.0ms (6.9%)

simplify70.0ms (0.9%)

prune108.0ms (1.5%)

localize14.0ms (0.2%)

rewrite16.0ms (0.2%)

series361.0ms (4.8%)

simplify75.0ms (1%)

prune111.0ms (1.5%)

localize18.0ms (0.2%)

rewrite43.0ms (0.6%)

series347.0ms (4.6%)

simplify88.0ms (1.2%)

prune201.0ms (2.7%)

simplify73.0ms (1%)

regimes175.0ms (2.3%)

bsearch0.0ms (0%)

regimes32.0ms (0.4%)

bsearch0.0ms (0%)

regimes17.0ms (0.2%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.1s (55.2%)

Profiling