Details

analyze335.0ms (4.1%)

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
12.5%	87.4%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample109.0ms (1.4%)

Algorithm

1×

intervals

Results

51.0ms	132×	body	1024	valid
12.0ms	52×	body	1024	invalid
11.0ms	56×	body	512	valid
6.0ms	96×	body	128	invalid
5.0ms	34×	body	512	invalid
5.0ms	42×	body	256	valid
2.0ms	22×	body	256	invalid
2.0ms	3×	body	2048	valid
2.0ms	23×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify165.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

40.8b

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 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.5b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
9×	`cancel-sign-sub-inv_binary64_3454`
7×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `pow1_binary64_3549`
6×	`add-cube-cbrt_binary64_3523`
5×	`associate-r_binary64_3428`
4×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `add-log-exp_binary64_3527`
3×	`cbrt-unprod_binary64_3521` `pow-prod-down_binary64_3559` `prod-exp_binary64_3537` `sub-neg_binary64_3481`
2×	`difference-of-squares_binary64_3457` `distribute-lft-out--_binary64_3440` `flip3--_binary64_3492` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`diff-log_binary64_3580` `associate-l_binary64_3429` `*-commutative_binary64_3419`

Counts

2 → 46

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series95.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4892	911
1	4892	911

prune62.0ms (0.8%)

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

Error

0.1b

Counts

53 → 3

Compiler

Compiled 879 to 348 computations (60.4% saved)

localize14.0ms (0.2%)

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

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3510`
19×	`add-exp-log_binary64_3526`
18×	`associate-r_binary64_3428`
13×	`add-cbrt-cube_binary64_3524`
12×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`associate-l_binary64_3429`
9×	`add-log-exp_binary64_3527` `pow1_binary64_3549` `prod-exp_binary64_3537`
8×	`unpow-prod-down_binary64_3567`
7×	`unswap-sqr_binary64_3456`
5×	`cbrt-unprod_binary64_3521`
4×	`cube-prod_binary64_3516` `sqr-pow_binary64_3460`
3×	`pow-prod-down_binary64_3559` `*-commutative_binary64_3419`
2×	`pow-exp_binary64_3556` `flip-+_binary64_3462` `flip3-+_binary64_3491` `pow-to-exp_binary64_3557` `associate-*r/_binary64_3430` `sum-log_binary64_3579` `associate-+l+_binary64_3421`
1×	`unpow3_binary64_3554` `distribute-lft-in_binary64_3437` `associate-+l-_binary64_3423` `distribute-rgt-in_binary64_3438` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `+-commutative_binary64_3418` `cube-mult_binary64_3518` `sub-neg_binary64_3481`

Counts

4 → 93

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(+.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))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)

series255.0ms (3.2%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
33.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
33.0ms	(*.f64 (pow.f64 im 5) -1/60)
24.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5098	1865

prune166.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Error

0.0b

Counts

108 → 7

Compiler

Compiled 3015 to 2315 computations (23.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 im 5) -1/60)
0.1b	(*.f64 1/3 (pow.f64 im 3))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))))
1.8b	(log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64_3510`
20×	`associate-r_binary64_3428`
19×	`add-exp-log_binary64_3526`
16×	`*-un-lft-identity_binary64_3488`
13×	`add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523`
11×	`associate-l_binary64_3429` `pow1_binary64_3549`
9×	`prod-exp_binary64_3537`
8×	`unpow-prod-down_binary64_3567`
7×	`unswap-sqr_binary64_3456`
5×	`cbrt-unprod_binary64_3521` `add-log-exp_binary64_3527`
4×	`log-pow_binary64_3577` `cube-prod_binary64_3516` `sqr-pow_binary64_3460`
3×	`log-prod_binary64_3574` `pow-prod-down_binary64_3559` `*-commutative_binary64_3419`
2×	`pow-exp_binary64_3556` `distribute-lft-out_binary64_3439` `pow-to-exp_binary64_3557` `associate-*r/_binary64_3430`
1×	`unpow3_binary64_3554` `distribute-lft-in_binary64_3437` `rem-log-exp_binary64_3529` `distribute-rgt-in_binary64_3438` `flip-+_binary64_3462` `exp-to-pow_binary64_3550` `flip3-+_binary64_3491` `exp-prod_binary64_3540` `cube-mult_binary64_3518`

Counts

4 → 94

Calls

4 calls:

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))))
6.0ms	(*.f64 1/3 (pow.f64 im 3))
5.0ms	(*.f64 (pow.f64 im 5) -1/60)
2.0ms	(log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))

series414.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))
160.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (log.f64 (exp.f64 (*.f64 (pow.f64 im 5) -1/60)))))
31.0ms	(*.f64 (pow.f64 im 5) -1/60)
25.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5539	1549

prune171.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	106	7	113

Error

0.0b

Counts

113 → 7

Compiler

Compiled 3114 to 2430 computations (22% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (pow.f64 im 5) -1/120) im)
0.1b	(*.f64 (pow.f64 im 5) -1/120)
0.1b	(*.f64 (pow.f64 im 3) 1/6)
0.1b	(.f64 (sin.f64 re) (-.f64 (-.f64 (.f64 (pow.f64 im 5) -1/120) im) (*.f64 (pow.f64 im 3) 1/6)))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_3510`
22×	`associate-l_binary64_3429`
16×	`add-exp-log_binary64_3526` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
11×	`cancel-sign-sub-inv_binary64_3454`
10×	`add-cbrt-cube_binary64_3524`
9×	`associate-r_binary64_3428`
8×	`unswap-sqr_binary64_3456` `unpow-prod-down_binary64_3567` `associate--l+_binary64_3425`
7×	`prod-exp_binary64_3537`
6×	`distribute-lft-in_binary64_3437` `distribute-rgt-in_binary64_3438` `add-log-exp_binary64_3527` `pow1_binary64_3549`
5×	`sub-neg_binary64_3481`
4×	`cube-prod_binary64_3516` `sqr-pow_binary64_3460`
3×	`cbrt-unprod_binary64_3521` `*-commutative_binary64_3419`
2×	`pow-exp_binary64_3556` `flip3--_binary64_3492` `pow-to-exp_binary64_3557` `associate-*r/_binary64_3430` `flip--_binary64_3463`
1×	`unpow3_binary64_3554` `diff-log_binary64_3580` `pow-prod-down_binary64_3559` `cube-mult_binary64_3518`

Counts

4 → 102

Calls

4 calls:

12.0ms	(.f64 (sin.f64 re) (-.f64 (-.f64 (.f64 (pow.f64 im 5) -1/120) im) (*.f64 (pow.f64 im 3) 1/6)))
9.0ms	(*.f64 (pow.f64 im 5) -1/120)
6.0ms	(*.f64 (pow.f64 im 3) 1/6)
5.0ms	(-.f64 (*.f64 (pow.f64 im 5) -1/120) im)

series265.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (sin.f64 re) (-.f64 (-.f64 (.f64 (pow.f64 im 5) -1/120) im) (*.f64 (pow.f64 im 3) 1/6)))
79.0ms	(-.f64 (*.f64 (pow.f64 im 5) -1/120) im)
34.0ms	(*.f64 (pow.f64 im 5) -1/120)
24.0ms	(*.f64 (pow.f64 im 3) 1/6)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4978	1757
1	4978	1757

prune134.0ms (1.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	112	9	121

Error

0.0b

Counts

121 → 9

Compiler

Compiled 2426 to 1701 computations (29.9% saved)

regimes759.0ms (9.4%)

Accuracy

Total 0.6b remaining (92.6%)

Threshold costs 0.6b (92.6%)

Compiler

Compiled 7828 to 6317 computations (19.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	24
1	52	24

end0.0ms (0%)

sample4.7s (58.2%)

Algorithm

1×

intervals

Results

1.7s	4179×	body	1024	valid
459.0ms	1965×	body	1024	invalid
424.0ms	2007×	body	512	valid
177.0ms	993×	body	512	invalid
156.0ms	2491×	body	128	invalid
129.0ms	1016×	body	256	valid
116.0ms	213×	body	2048	valid
57.0ms	431×	body	256	invalid
38.0ms	585×	body	128	valid

Compiler

Compiled 1215 to 980 computations (19.3% saved)

Details

analyze335.0ms (4.1%)

sample109.0ms (1.4%)

simplify165.0ms (2%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite20.0ms (0.3%)

series95.0ms (1.2%)

simplify82.0ms (1%)

prune62.0ms (0.8%)

localize14.0ms (0.2%)

rewrite38.0ms (0.5%)

series255.0ms (3.2%)

simplify46.0ms (0.6%)

prune166.0ms (2%)

localize16.0ms (0.2%)

rewrite33.0ms (0.4%)

series414.0ms (5.1%)

simplify61.0ms (0.7%)

prune171.0ms (2.1%)

localize11.0ms (0.1%)

rewrite40.0ms (0.5%)

series265.0ms (3.3%)

simplify81.0ms (1%)

prune134.0ms (1.7%)

regimes759.0ms (9.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.7s (58.2%)

Profiling