Details

analyze348.0ms (3.5%)

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)

sample111.0ms (1.1%)

Algorithm

1×

intervals

Results

55.0ms	148×	body	1024	valid
16.0ms	64×	body	1024	invalid
11.0ms	54×	body	512	valid
6.0ms	13×	body	2048	valid
4.0ms	23×	body	512	invalid
3.0ms	26×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	17×	body	128	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify178.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5340	18

prune4.0ms (0%)

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

Merged error: 57.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

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

2 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))

series90.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune61.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Merged error: 0.1b

Counts

53 → 2

Compiler

Compiled 866 to 341 computations (60.6% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.0b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1805`
19×	`add-exp-log_binary64_1821`
18×	`associate-r_binary64_1723`
13×	`add-cbrt-cube_binary64_1819`
12×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`associate-l_binary64_1724`
9×	`prod-exp_binary64_1832` `pow1_binary64_1844`
8×	`unpow-prod-down_binary64_1862`
7×	`unswap-sqr_binary64_1751`
6×	`add-log-exp_binary64_1822`
5×	`cbrt-unprod_binary64_1816`
4×	`sqr-pow_binary64_1755` `cube-prod_binary64_1811`
3×	`*-commutative_binary64_1714` `pow-prod-down_binary64_1854`
2×	`associate-*r/_binary64_1725` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`
1×	`flip3--_binary64_1787` `distribute-lft-in_binary64_1732` `cube-mult_binary64_1813` `flip-+_binary64_1757` `unpow3_binary64_1849` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786` `flip--_binary64_1758` `sub-neg_binary64_1776`

Counts

4 → 90

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 (pow.f64 im 5) -1/60)
4.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))

series265.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

150.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
60.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
30.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4998	1652
1	4998	1652

prune163.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

Compiler

Compiled 2905 to 2230 computations (23.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.6b	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite54.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_1725`
18×	`cbrt-div_binary64_1815`
11×	`pow1_binary64_1844`
10×	`add-sqr-sqrt_binary64_1805`
9×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`cbrt-prod_binary64_1814`
6×	`add-exp-log_binary64_1821`
4×	`add-cbrt-cube_binary64_1819` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `frac-times_binary64_1793` `add-log-exp_binary64_1822` `associate-r_binary64_1723`
2×	`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` `unswap-sqr_binary64_1751` `pow2_binary64_1864`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
9.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
9.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

series2.1s (21%)

Counts

4 → 12

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))))
344.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
331.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
324.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune409.0ms (4.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 0.0b

Counts

92 → 10

Compiler

Compiled 6660 to 5209 computations (21.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.3b	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`associate-r_binary64_1723`
30×	`add-sqr-sqrt_binary64_1805`
28×	`add-exp-log_binary64_1821`
22×	`add-cbrt-cube_binary64_1819`
18×	`pow1_binary64_1844`
16×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
15×	`prod-exp_binary64_1832`
14×	`sqrt-div_binary64_1800`
11×	`cbrt-unprod_binary64_1816`
10×	`associate-*r/_binary64_1725`
9×	`pow-prod-down_binary64_1854`
8×	`unpow-prod-down_binary64_1862` `associate-l_binary64_1724` `unswap-sqr_binary64_1751` `cube-prod_binary64_1811`
7×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
6×	`sqrt-prod_binary64_1799`
4×	`sqr-pow_binary64_1755` `*-commutative_binary64_1714` `frac-times_binary64_1793` `add-log-exp_binary64_1822`
2×	`cube-mult_binary64_1813` `unpow3_binary64_1849` `associate-*l/_binary64_1726` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 117

Calls

4 calls:

21.0ms	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
7.0ms	(*.f64 1/3 (pow.f64 im 3))

series368.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(.f64 (.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60)))) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
144.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
25.0ms	(*.f64 1/3 (pow.f64 im 3))
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4990	3260
1	4990	3260

prune356.0ms (3.6%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 0.0b

Counts

139 → 11

Compiler

Compiled 5658 to 4430 computations (21.7% saved)

regimes453.0ms (4.6%)

Compiler: Compiled 6570 to 5400 computations (17.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.5s (45.6%)

Algorithm

1×

intervals

Results

1.8s	4819×	body	1024	valid
449.0ms	1966×	body	1024	invalid
359.0ms	1733×	body	512	valid
223.0ms	414×	body	2048	valid
155.0ms	976×	body	512	invalid
88.0ms	664×	body	256	valid
56.0ms	504×	body	256	invalid
40.0ms	650×	body	128	invalid
23.0ms	370×	body	128	valid

Compiler

Compiled 1161 to 951 computations (18.1% saved)

Details

analyze348.0ms (3.5%)

sample111.0ms (1.1%)

simplify178.0ms (1.8%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite21.0ms (0.2%)

series90.0ms (0.9%)

simplify63.0ms (0.6%)

prune61.0ms (0.6%)

localize17.0ms (0.2%)

rewrite36.0ms (0.4%)

series265.0ms (2.7%)

simplify71.0ms (0.7%)

prune163.0ms (1.6%)

localize22.0ms (0.2%)

rewrite54.0ms (0.5%)

series2.1s (21%)

simplify82.0ms (0.8%)

prune409.0ms (4.1%)

localize17.0ms (0.2%)

rewrite67.0ms (0.7%)

series368.0ms (3.7%)

simplify61.0ms (0.6%)

prune356.0ms (3.6%)

regimes453.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.5s (45.6%)

Profiling