Details

analyze353.0ms (2.9%)

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)

sample108.0ms (0.9%)

Algorithm

1×

intervals

Results

58.0ms	160×	body	1024	valid
12.0ms	54×	body	1024	invalid
9.0ms	43×	body	512	valid
7.0ms	12×	body	2048	valid
4.0ms	23×	body	512	invalid
3.0ms	27×	body	256	valid
2.0ms	26×	body	128	invalid
1.0ms	11×	body	256	invalid
1.0ms	14×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify189.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

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

Error

58.6b

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)))
5.7b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite21.0ms (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:

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))

series105.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

82.0ms	(.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))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4890	927
1	4890	927

prune57.0ms (0.5%)

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

Error

0.1b

Counts

53 → 2

Compiler

Compiled 866 to 341 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)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite35.0ms (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:

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)))

series274.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(.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)))
62.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
32.0ms	(*.f64 (pow.f64 im 5) -1/60)
25.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4998	1652
1	4998	1652

prune161.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	97	5	102
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 2871 to 2202 computations (23.3% 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))))

rewrite52.0ms (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:

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))))
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))))

series2.2s (18.2%)

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)))))
366.0ms	(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))))
365.0ms	(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))))
349.0ms	(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))))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4937	4096
1	4937	4096

prune586.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Error

0.0b

Counts

91 → 8

Compiler

Compiled 6555 to 5122 computations (21.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.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 (.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 (.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

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

Counts

4 → 67

Calls

4 calls:

14.0ms	(.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 (.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))))
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 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))))
349.0ms	(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))))
343.0ms	(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))))
97.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4949	4423
1	4949	4423

prune406.0ms (3.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	77	10	87

Error

0.0b

Counts

87 → 10

Compiler

Compiled 6589 to 5146 computations (21.9% saved)

regimes530.0ms (4.3%)

Accuracy

Total 0.7b remaining (94.9%)

Threshold costs 0.7b (94.9%)

Compiler

Compiled 8052 to 6672 computations (17.1% 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%)

sample4.7s (39%)

Algorithm

1×

intervals

Results

1.9s	4956×	body	1024	valid
427.0ms	1923×	body	1024	invalid
333.0ms	1594×	body	512	valid
226.0ms	422×	body	2048	valid
151.0ms	948×	body	512	invalid
79.0ms	633×	body	256	valid
55.0ms	483×	body	256	invalid
45.0ms	734×	body	128	invalid
32.0ms	395×	body	128	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 1408 to 1163 computations (17.4% saved)

Details

analyze353.0ms (2.9%)

sample108.0ms (0.9%)

simplify189.0ms (1.6%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite21.0ms (0.2%)

series105.0ms (0.9%)

simplify67.0ms (0.6%)

prune57.0ms (0.5%)

localize14.0ms (0.1%)

rewrite35.0ms (0.3%)

series274.0ms (2.2%)

simplify71.0ms (0.6%)

prune161.0ms (1.3%)

localize20.0ms (0.2%)

rewrite52.0ms (0.4%)

series2.2s (18.2%)

simplify85.0ms (0.7%)

prune586.0ms (4.8%)

localize26.0ms (0.2%)

rewrite53.0ms (0.4%)

series1.9s (15.4%)

simplify111.0ms (0.9%)

prune406.0ms (3.3%)

regimes530.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (39%)

Profiling