Details

analyze342.0ms (2.8%)

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)

sample114.0ms (0.9%)

Algorithm

1×

intervals

Results

54.0ms	154×	body	1024	valid
14.0ms	67×	body	512	valid
13.0ms	62×	body	1024	invalid
9.0ms	38×	body	512	invalid
6.0ms	11×	body	2048	valid
3.0ms	26×	body	256	invalid
2.0ms	16×	body	256	valid
1.0ms	15×	body	128	invalid
1.0ms	8×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify180.0ms (1.5%)

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)

localize9.0ms (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)))
6.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite25.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
9×	`cancel-sign-sub-inv_binary64_3113`
7×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208`
6×	`add-cube-cbrt_binary64_3182`
5×	`associate-r_binary64_3087`
4×	`distribute-lft-in_binary64_3096` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`
3×	`pow-prod-down_binary64_3218` `sub-neg_binary64_3140` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `distribute-lft-out--_binary64_3099` `difference-of-squares_binary64_3116` `associate-*r/_binary64_3089`
1×	`-commutative_binary64_3078` `diff-log_binary64_3239` `associate-l*_binary64_3088`

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))

series95.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

72.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
23.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune58.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0.1b

Counts

53 → 3

Compiler

Compiled 869 to 342 computations (60.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
0.1b	(*.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)))
0.2b	(*.f64 1/3 (pow.f64 im 3))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3169`
19×	`add-exp-log_binary64_3185`
18×	`associate-r_binary64_3087`
13×	`add-cbrt-cube_binary64_3183`
12×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`associate-l_binary64_3088`
9×	`pow1_binary64_3208` `prod-exp_binary64_3196`
8×	`unpow-prod-down_binary64_3226`
7×	`unswap-sqr_binary64_3115`
6×	`add-log-exp_binary64_3186`
5×	`cbrt-unprod_binary64_3180`
4×	`cube-prod_binary64_3175` `sqr-pow_binary64_3119`
3×	`*-commutative_binary64_3078` `pow-prod-down_binary64_3218`
2×	`pow-exp_binary64_3215` `pow-to-exp_binary64_3216` `associate-*r/_binary64_3089`
1×	`flip--_binary64_3122` `cancel-sign-sub-inv_binary64_3113` `flip-+_binary64_3121` `flip3--_binary64_3151` `flip3-+_binary64_3150` `sub-neg_binary64_3140` `distribute-lft-in_binary64_3096` `cube-mult_binary64_3177` `diff-log_binary64_3239` `distribute-rgt-in_binary64_3097` `unpow3_binary64_3213`

Counts

4 → 90

Calls

4 calls:

10.0ms	(.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)))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series255.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(.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)))
34.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4998	1652
1	4998	1652

prune165.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	95	7	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	95	10	105

Merged error: 0.0b

Counts

105 → 10

Compiler

Compiled 2939 to 2258 computations (23.2% saved)

localize20.0ms (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))))

rewrite53.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3089`
18×	`cbrt-div_binary64_3179`
11×	`pow1_binary64_3208`
10×	`add-sqr-sqrt_binary64_3169`
9×	`pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150`
8×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
7×	`cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `add-cbrt-cube_binary64_3183` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`pow-prod-down_binary64_3218` `associate-*l/_binary64_3090` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

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)))))
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))))
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 (17.4%)

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)))))
337.0ms	(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))))
334.0ms	(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))))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune379.0ms (3.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	81	13	94

Merged error: 0.0b

Counts

94 → 13

Compiler

Compiled 6780 to 5306 computations (21.7% saved)

localize24.0ms (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))))
0.7b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_3179` `associate-*r/_binary64_3089`
11×	`add-sqr-sqrt_binary64_3169` `pow1_binary64_3208`
9×	`*-un-lft-identity_binary64_3147` `pow1/3_binary64_3229` `flip-+_binary64_3121` `flip3-+_binary64_3150` `add-cube-cbrt_binary64_3182` `cbrt-prod_binary64_3178`
6×	`add-exp-log_binary64_3185`
4×	`frac-times_binary64_3157` `add-cbrt-cube_binary64_3183` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`pow-prod-down_binary64_3218` `associate-*l/_binary64_3090` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 74

Calls

4 calls:

10.0ms	(.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)))))
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))))
6.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series1.9s (15.4%)

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)))))
336.0ms	(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))))
327.0ms	(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))))
98.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5033	4202

prune420.0ms (3.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	9	9
Picked	1	0	1
Done	0	3	3
Total	86	13	99

Merged error: 0.0b

Counts

99 → 13

Compiler

Compiled 6566 to 5151 computations (21.6% saved)

regimes629.0ms (5.2%)

Compiler: Compiled 9840 to 8082 computations (17.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample5.0s (41.1%)

Algorithm

1×

intervals

Results

1.8s	4839×	body	1024	valid
436.0ms	1985×	body	1024	invalid
359.0ms	1740×	body	512	valid
218.0ms	398×	body	2048	valid
152.0ms	994×	body	512	invalid
83.0ms	666×	body	256	valid
53.0ms	492×	body	256	invalid
49.0ms	690×	body	128	invalid
23.0ms	357×	body	128	valid

Compiler

Compiled 1706 to 1398 computations (18.1% saved)

Details

analyze342.0ms (2.8%)

sample114.0ms (0.9%)

simplify180.0ms (1.5%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite25.0ms (0.2%)

series95.0ms (0.8%)

simplify60.0ms (0.5%)

prune58.0ms (0.5%)

localize14.0ms (0.1%)

rewrite36.0ms (0.3%)

series255.0ms (2.1%)

simplify63.0ms (0.5%)

prune165.0ms (1.4%)

localize20.0ms (0.2%)

rewrite53.0ms (0.4%)

series2.1s (17.4%)

simplify74.0ms (0.6%)

prune379.0ms (3.1%)

localize24.0ms (0.2%)

rewrite49.0ms (0.4%)

series1.9s (15.4%)

simplify85.0ms (0.7%)

prune420.0ms (3.5%)

regimes629.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.0s (41.1%)

Profiling