Details

analyze357.0ms (3.3%)

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)

sample117.0ms (1.1%)

Algorithm

1×

intervals

Results

59.0ms	147×	body	1024	valid
14.0ms	65×	body	512	valid
13.0ms	57×	body	1024	invalid
7.0ms	12×	body	2048	valid
5.0ms	30×	body	512	invalid
4.0ms	27×	body	256	valid
2.0ms	13×	body	256	invalid
2.0ms	26×	body	128	invalid
0.0ms	5×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify181.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

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: 58.8b

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)))
6.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
9×	`cancel-sign-sub-inv_binary64_2090`
7×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`add-cube-cbrt_binary64_2159`
5×	`associate-r_binary64_2064`
4×	`add-log-exp_binary64_2163` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `sub-neg_binary64_2117` `cbrt-unprod_binary64_2157`
2×	`flip--_binary64_2099` `difference-of-squares_binary64_2093` `flip3--_binary64_2128` `distribute-lft-out--_binary64_2076` `associate-*r/_binary64_2066`
1×	`-commutative_binary64_2055` `diff-log_binary64_2216` `associate-l*_binary64_2065`

Counts

2 → 46

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))

series96.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(.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))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune65.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0.2b

Counts

53 → 3

Compiler

Compiled 881 to 352 computations (60% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.2b	(.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)))

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_2146`
18×	`associate-r_binary64_2064` `add-exp-log_binary64_2162`
12×	`add-cbrt-cube_binary64_2160`
11×	`add-cube-cbrt_binary64_2159` `associate-l_binary64_2065` `*-un-lft-identity_binary64_2124`
9×	`prod-exp_binary64_2173`
8×	`unpow-prod-down_binary64_2203` `pow1_binary64_2185`
7×	`unswap-sqr_binary64_2092`
5×	`cbrt-unprod_binary64_2157`
4×	`sqr-pow_binary64_2096` `cube-prod_binary64_2152`
3×	`pow-prod-down_binary64_2195` `*-commutative_binary64_2055` `add-log-exp_binary64_2163`
2×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `associate-*r/_binary64_2066`
1×	`unpow3_binary64_2190` `cube-mult_binary64_2154` `distribute-rgt-in_binary64_2074` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`

Counts

3 → 78

Calls

3 calls:

12.0ms	(.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)

series207.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

154.0ms	(.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)))
30.0ms	(*.f64 (pow.f64 im 5) -1/60)
23.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4954	1387
1	4954	1387

prune141.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	81	9	90

Merged error: 0.1b

Counts

90 → 9

Compiler

Compiled 2570 to 1973 computations (23.2% saved)

localize19.0ms (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))))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite53.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2155`
23×	`add-sqr-sqrt_binary64_2146`
18×	`cbrt-div_binary64_2156`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
6×	`swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `pow-sqr_binary64_2097`
1×	`*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

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))))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series412.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(.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))))
106.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
95.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
92.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4928	4389
1	4928	4389

prune458.0ms (4.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

Compiler

Compiled 7263 to 5885 computations (19% saved)

localize18.0ms (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)))))
0.7b	(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))))
0.7b	(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))))
0.7b	(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))))

rewrite58.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_2066`
18×	`cbrt-div_binary64_2156`
11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206` `flip3-+_binary64_2127` `flip-+_binary64_2098`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-*l/_binary64_2067` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.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 (19.4%)

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)))))
346.0ms	(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))))
333.0ms	(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))))
332.0ms	(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))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune344.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 6245 to 4861 computations (22.2% saved)

regimes773.0ms (7.1%)

Compiler: Compiled 11726 to 9786 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	29
1	79	29

end0.0ms (0%)

sample5.1s (46.8%)

Algorithm

1×

intervals

Results

1.8s	4862×	body	1024	valid
444.0ms	2005×	body	1024	invalid
350.0ms	1701×	body	512	valid
228.0ms	420×	body	2048	valid
161.0ms	976×	body	512	invalid
83.0ms	655×	body	256	valid
60.0ms	522×	body	256	invalid
44.0ms	718×	body	128	invalid
23.0ms	362×	body	128	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 1749 to 1453 computations (16.9% saved)

Details

analyze357.0ms (3.3%)

sample117.0ms (1.1%)

simplify181.0ms (1.7%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite22.0ms (0.2%)

series96.0ms (0.9%)

simplify62.0ms (0.6%)

prune65.0ms (0.6%)

localize14.0ms (0.1%)

rewrite33.0ms (0.3%)

series207.0ms (1.9%)

simplify74.0ms (0.7%)

prune141.0ms (1.3%)

localize19.0ms (0.2%)

rewrite53.0ms (0.5%)

series412.0ms (3.8%)

simplify72.0ms (0.7%)

prune458.0ms (4.2%)

localize18.0ms (0.2%)

rewrite58.0ms (0.5%)

series2.1s (19.4%)

simplify74.0ms (0.7%)

prune344.0ms (3.2%)

regimes773.0ms (7.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.1s (46.8%)

Profiling