Details

analyze666.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4722	36
1	4722	36
0	2	2
1	2	2

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)

sample138.0ms (0.5%)

Algorithm

1×

intervals

Results

59.0ms	129×	body	1024	valid
21.0ms	77×	body	1024	invalid
14.0ms	58×	body	512	valid
6.0ms	31×	body	512	invalid
6.0ms	84×	body	128	invalid
5.0ms	31×	body	256	valid
3.0ms	6×	body	2048	valid
2.0ms	32×	body	128	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify93.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4793	18
1	4793	18

prune13.0ms (0.1%)

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

42.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize11.0ms (0%)

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)))
5.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite82.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

42.8b

Rules

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

Compiler

Compiled 925 to 309 computations (66.6% saved)

series219.0ms (0.8%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

171.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
30.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 638 to 468 computations (26.6% saved)

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4904	1142
1	4904	1142

prune76.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	4	63

Error

0.1b

Counts

63 → 4

Compiler

Compiled 1070 to 455 computations (57.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 im 5))
0.0b	(*.f64 1/2520 (pow.f64 im 7))
0.1b	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite310.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 113

Calls

4 calls:

25.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
7.0ms	(*.f64 1/3 (pow.f64 im 3))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 1/2520 (pow.f64 im 7))

Compiler

Compiled 3971 to 3092 computations (22.1% saved)

series596.0ms (2.3%)

Error

0.1b

Counts

4 → 25

Calls

4 calls:

391.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 -2 im) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
55.0ms	(*.f64 1/2520 (pow.f64 im 7))
52.0ms	(*.f64 1/60 (pow.f64 im 5))
40.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1627 to 1289 computations (20.8% saved)

simplify83.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5246	2718

prune359.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	133	9	142

Error

0.0b

Counts

142 → 9

Compiler

Compiled 4614 to 3555 computations (23% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))) (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520)))))
13.8b	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
13.8b	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
13.8b	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))

rewrite670.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`associate-*r/_binary64_3430`
18×	`cbrt-div_binary64_3520`
11×	`pow1_binary64_3549`
10×	`add-sqr-sqrt_binary64_3510`
9×	`pow1/3_binary64_3570` `flip3--_binary64_3492` `flip--_binary64_3463`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
7×	`cbrt-prod_binary64_3519`
6×	`add-exp-log_binary64_3526`
4×	`add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `frac-times_binary64_3498` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
2×	`pow-prod-down_binary64_3559` `pow-prod-up_binary64_3558` `pow-sqr_binary64_3461` `associate-*l/_binary64_3431`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419`

Counts

4 → 72

Calls

4 calls:

24.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
17.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
15.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
15.0ms	(.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))) (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520)))))

Compiler

Compiled 8066 to 6395 computations (20.7% saved)

series6.4s (24.1%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

1.5s	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
1.5s	(.f64 (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520)))) (cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (*.f64 (pow.f64 im 7) 1/2520)))))
1.5s	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
1.5s	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))

Compiler

Compiled 15532 to 12709 computations (18.2% saved)

simplify132.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5019	7871

prune959.0ms (3.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	117	13	130

Error

0.0b

Counts

130 → 13

Compiler

Compiled 12148 to 9601 computations (21% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 (-.f64 (-.f64 (.f64 im -2) (+.f64 (.f64 1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))) (.f64 1/2520 (pow.f64 im 7))))
0.7b	(cbrt.f64 (*.f64 (sin.f64 re) 1/2))
13.8b	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
13.8b	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))

rewrite379.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`cbrt-div_binary64_3520` `cbrt-prod_binary64_3519`
5×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
4×	`pow1/3_binary64_3570` `pow1_binary64_3549` `add-log-exp_binary64_3527` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `associate-*r/_binary64_3430`
3×	`flip3--_binary64_3492` `flip--_binary64_3463`

Counts

4 → 44

Calls

4 calls:

23.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
21.0ms	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
10.0ms	(cbrt.f64 (-.f64 (-.f64 (.f64 im -2) (+.f64 (.f64 1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))) (.f64 1/2520 (pow.f64 im 7))))
4.0ms	(cbrt.f64 (*.f64 (sin.f64 re) 1/2))

Compiler

Compiled 4608 to 3657 computations (20.6% saved)

series3.7s (14.1%)

Error

0.0b

Counts

4 → 37

Calls

4 calls:

1.6s	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
1.5s	(cbrt.f64 (.f64 (.f64 (sin.f64 re) 1/2) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 (pow.f64 im 5) 1/60)) (.f64 (pow.f64 im 7) 1/2520))))
240.0ms	(cbrt.f64 (-.f64 (-.f64 (.f64 im -2) (+.f64 (.f64 1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))) (.f64 1/2520 (pow.f64 im 7))))
132.0ms	(cbrt.f64 (*.f64 (sin.f64 re) 1/2))

Compiler

Compiled 11355 to 9279 computations (18.3% saved)

simplify100.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5352	3979

prune647.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	9	10
Picked	1	0	1
Done	0	2	2
Total	81	13	94

Error

0.0b

Counts

94 → 13

Compiler

Compiled 7901 to 6227 computations (21.2% saved)

regimes1.6s (6.2%)

Accuracy

Total 0.7b remaining (93.6%)

Threshold costs 0.7b (93.6%)

Compiler

Compiled 20565 to 16811 computations (18.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	185	41
1	185	41

end0.0ms (0%)

sample9.0s (34.1%)

Algorithm

1×

intervals

Results

2.1s	4019×	body	1024	valid
613.0ms	1916×	body	1024	invalid
601.0ms	2078×	body	512	valid
458.0ms	2587×	body	128	invalid
223.0ms	985×	body	512	invalid
171.0ms	1011×	body	256	valid
169.0ms	238×	body	2048	valid
67.0ms	447×	body	256	invalid
54.0ms	654×	body	128	valid

Compiler

Compiled 3448 to 2820 computations (18.2% saved)

Details

analyze666.0ms (2.5%)

sample138.0ms (0.5%)

simplify93.0ms (0.4%)

prune13.0ms (0.1%)

localize11.0ms (0%)

rewrite82.0ms (0.3%)

series219.0ms (0.8%)

simplify82.0ms (0.3%)

prune76.0ms (0.3%)

localize19.0ms (0.1%)

rewrite310.0ms (1.2%)

series596.0ms (2.3%)

simplify83.0ms (0.3%)

prune359.0ms (1.4%)

localize30.0ms (0.1%)

rewrite670.0ms (2.5%)

series6.4s (24.1%)

simplify132.0ms (0.5%)

prune959.0ms (3.6%)

localize43.0ms (0.2%)

rewrite379.0ms (1.4%)

series3.7s (14.1%)

simplify100.0ms (0.4%)

prune647.0ms (2.4%)

regimes1.6s (6.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample9.0s (34.1%)

Profiling