Details

analyze365.0ms (3%)

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)

sample123.0ms (1%)

Algorithm

1×

intervals

Results

64.0ms	153×	body	1024	valid
15.0ms	57×	body	1024	invalid
12.0ms	52×	body	512	valid
8.0ms	13×	body	2048	valid
6.0ms	31×	body	512	invalid
3.0ms	21×	body	256	valid
1.0ms	22×	body	128	invalid
1.0ms	17×	body	128	valid
1.0ms	10×	body	256	invalid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify260.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4828	18
1	4828	18

prune3.0ms (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: 57.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize10.0ms (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)))
6.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_2120` `add-cbrt-cube_binary64_2132` `pow1_binary64_2157` `*-un-lft-identity_binary64_2099` `add-exp-log_binary64_2134`
5×	`associate-r_binary64_2041`
4×	`add-log-exp_binary64_2135`
3×	`sub-neg_binary64_2092` `add-cube-cbrt_binary64_2131` `prod-exp_binary64_2145` `pow-prod-down_binary64_2167` `cbrt-unprod_binary64_2129`
2×	`difference-of-squares_binary64_2068` `associate-*r/_binary64_2043` `flip3--_binary64_2103` `flip--_binary64_2074` `distribute-lft-out--_binary64_2053`
1×	`associate-l_binary64_2042` `distribute-rgt-in_binary64_2051` `*-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `diff-log_binary64_2188`

Counts

2 → 37

Calls

2 calls:

12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series194.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

150.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4884	780
1	4884	780

prune55.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

Compiler

Compiled 766 to 306 computations (60.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite42.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2120`
19×	`add-exp-log_binary64_2134`
18×	`associate-r_binary64_2041`
13×	`add-cbrt-cube_binary64_2132`
12×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
11×	`associate-l_binary64_2042`
9×	`pow1_binary64_2157` `prod-exp_binary64_2145` `add-log-exp_binary64_2135`
8×	`unpow-prod-down_binary64_2175`
7×	`unswap-sqr_binary64_2067`
5×	`cbrt-unprod_binary64_2129`
4×	`sqr-pow_binary64_2071` `cube-prod_binary64_2124`
3×	`*-commutative_binary64_2032` `pow-prod-down_binary64_2167`
2×	`associate-*r/_binary64_2043` `flip3-+_binary64_2102` `pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `sum-log_binary64_2187` `flip-+_binary64_2073`
1×	`sub-neg_binary64_2092` `associate-+l+_binary64_2034` `distribute-rgt-in_binary64_2051` `distribute-lft-in_binary64_2050` `unpow3_binary64_2162` `+-commutative_binary64_2031` `cube-mult_binary64_2126` `associate-+l-_binary64_2036` `diff-log_binary64_2188`

Counts

4 → 92

Calls

4 calls:

13.0ms	(.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)))
8.0ms	(+.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)

series452.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(.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)))
61.0ms	(*.f64 (pow.f64 im 5) -1/60)
61.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
49.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify43.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5030	1865

prune167.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	9	107

Merged error: 0.0b

Counts

107 → 9

Compiler

Compiled 2999 to 2296 computations (23.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2127`
23×	`add-sqr-sqrt_binary64_2120`
18×	`cbrt-div_binary64_2128`
15×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
11×	`pow1_binary64_2157`
9×	`flip3-+_binary64_2102` `pow1/3_binary64_2178` `flip-+_binary64_2073`
6×	`associate-l_binary64_2042` `associate-r_binary64_2041` `add-exp-log_binary64_2134` `swap-sqr_binary64_2066`
4×	`add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `unswap-sqr_binary64_2067` `frac-times_binary64_2109`
2×	`associate-r/_binary64_2043` `associate-l/_binary64_2044` `pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `cbrt-unprod_binary64_2129`

Counts

4 → 87

Calls

4 calls:

18.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series718.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

211.0ms	(.f64 (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) -1/60))) (cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
176.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
171.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
159.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify118.0ms (1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4945	4222
1	4945	4222

prune405.0ms (3.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	97	11	108

Merged error: 0.0b

Counts

108 → 11

Compiler

Compiled 6959 to 5621 computations (19.2% saved)

localize21.0ms (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))))

rewrite59.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2043`
18×	`cbrt-div_binary64_2128`
11×	`pow1_binary64_2157`
10×	`add-sqr-sqrt_binary64_2120`
9×	`flip3-+_binary64_2102` `pow1/3_binary64_2178` `flip-+_binary64_2073`
8×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
7×	`cbrt-prod_binary64_2127`
6×	`add-exp-log_binary64_2134`
4×	`associate-l_binary64_2042` `add-cbrt-cube_binary64_2132` `add-log-exp_binary64_2135` `associate-r_binary64_2041` `frac-times_binary64_2109` `swap-sqr_binary64_2066`
2×	`associate-*l/_binary64_2044` `pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`*-commutative_binary64_2032` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `unswap-sqr_binary64_2067` `cbrt-unprod_binary64_2129`

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)))))
11.0ms	(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))))
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))))
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))))

series3.7s (30.4%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.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)))))
608.0ms	(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))))
592.0ms	(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))))
591.0ms	(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))))

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4923	4096
1	4923	4096

prune385.0ms (3.2%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	83	12	95

Merged error: 0.0b

Counts

95 → 12

Compiler

Compiled 6245 to 4861 computations (22.2% saved)

regimes176.0ms (1.4%)

Compiler: Compiled 2416 to 2012 computations (16.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.6s (37.9%)

Algorithm

1×

intervals

Results

2.1s	4813×	body	1024	valid
520.0ms	1896×	body	1024	invalid
405.0ms	1689×	body	512	valid
264.0ms	417×	body	2048	valid
184.0ms	960×	body	512	invalid
100.0ms	690×	body	256	valid
59.0ms	488×	body	256	invalid
48.0ms	701×	body	128	invalid
28.0ms	391×	body	128	valid

Compiler

Compiled 675 to 558 computations (17.3% saved)

Details

analyze365.0ms (3%)

sample123.0ms (1%)

simplify260.0ms (2.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite21.0ms (0.2%)

series194.0ms (1.6%)

simplify68.0ms (0.6%)

prune55.0ms (0.5%)

localize15.0ms (0.1%)

rewrite42.0ms (0.3%)

series452.0ms (3.7%)

simplify43.0ms (0.4%)

prune167.0ms (1.4%)

localize20.0ms (0.2%)

rewrite55.0ms (0.4%)

series718.0ms (5.9%)

simplify118.0ms (1%)

prune405.0ms (3.3%)

localize21.0ms (0.2%)

rewrite59.0ms (0.5%)

series3.7s (30.4%)

simplify79.0ms (0.7%)

prune385.0ms (3.2%)

regimes176.0ms (1.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample4.6s (37.9%)

Profiling