Details

analyze507.0ms (3.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4887	36
1	4887	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
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)

sample129.0ms (0.9%)

Algorithm

1×

intervals

Results

56.0ms	151×	body	1024	valid
17.0ms	82×	body	1024	invalid
10.0ms	48×	body	512	valid
9.0ms	17×	body	2048	valid
7.0ms	43×	body	512	invalid
5.0ms	19×	body	256	invalid
3.0ms	26×	body	256	valid
2.0ms	25×	body	128	invalid
1.0ms	14×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5340	18

prune5.0ms (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

57.9b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize15.0ms (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)))
5.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite72.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

57.8b

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:

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))

Compiler

Compiled 925 to 309 computations (66.6% saved)

series212.0ms (1.5%)

Error

0.1b

Counts

2 → 16

Calls

2 calls:

162.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
31.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 618 to 455 computations (26.4% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5053	1131

prune55.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	2	63

Error

0.1b

Counts

63 → 2

Compiler

Compiled 1021 to 404 computations (60.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.1b	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
0.1b	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
0.2b	(*.f64 (cos.f64 re) -1/6)

rewrite160.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-exp-log_binary64_3526`
25×	`associate-l_binary64_3429`
23×	`add-sqr-sqrt_binary64_3510`
15×	`add-cbrt-cube_binary64_3524`
14×	`prod-exp_binary64_3537` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
10×	`associate-r_binary64_3428`
8×	`pow1_binary64_3549`
7×	`unpow-prod-down_binary64_3567`
6×	`cbrt-unprod_binary64_3521`
5×	`unswap-sqr_binary64_3456`
4×	`add-log-exp_binary64_3527` `*-commutative_binary64_3419`
3×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `cube-prod_binary64_3516` `sqr-pow_binary64_3460`
2×	`pow-prod-down_binary64_3559` `associate-*r/_binary64_3430`
1×	`unpow3_binary64_3554` `cube-mult_binary64_3518` `distribute-rgt-in_binary64_3438` `distribute-lft-in_binary64_3437` `flip3-+_binary64_3491` `flip-+_binary64_3462`

Counts

4 → 94

Calls

4 calls:

7.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
6.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
6.0ms	(*.f64 (pow.f64 im 5) 1/120)
5.0ms	(*.f64 (cos.f64 re) -1/6)

Compiler

Compiled 2432 to 1593 computations (34.5% saved)

series469.0ms (3.2%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

254.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
120.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
46.0ms	(*.f64 (pow.f64 im 5) 1/120)
20.0ms	(*.f64 (cos.f64 re) -1/6)

Compiler

Compiled 1432 to 1065 computations (25.6% saved)

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4938	1564
1	4938	1564

prune163.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 2972 to 1960 computations (34.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
0.6b	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
0.6b	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
0.6b	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

rewrite236.0ms (1.6%)

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_3491` `flip-+_binary64_3462`
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:

7.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
5.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
5.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
5.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

Compiler

Compiled 4100 to 2778 computations (32.2% saved)

series2.7s (18.6%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

643.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5))))) (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (*.f64 1/120 (pow.f64 im 5))))))
628.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
618.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))
610.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (.f64 1/120 (pow.f64 im 5)))))

Compiler

Compiled 8536 to 6630 computations (22.3% saved)

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4943	4656
1	4943	4656

prune409.0ms (2.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	9	117

Error

0.0b

Counts

117 → 9

Compiler

Compiled 6831 to 4784 computations (30% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
0.6b	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
0.6b	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re)))) 4)

rewrite269.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`cbrt-prod_binary64_3519`
12×	`cbrt-div_binary64_3520`
10×	`add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `*-un-lft-identity_binary64_3488`
7×	`unpow-prod-down_binary64_3567`
6×	`associate-*l/_binary64_3431`
5×	`pow1_binary64_3549` `add-exp-log_binary64_3526`
4×	`pow1/3_binary64_3570` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524`
3×	`pow-unpow_binary64_3565` `flip3-+_binary64_3491` `flip-+_binary64_3462`
2×	`pow-pow_binary64_3560`
1×	`pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqr-pow_binary64_3460`

Counts

4 → 64

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re)))) 4)
3.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
2.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
2.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))

Compiler

Compiled 4668 to 3270 computations (29.9% saved)

series2.1s (14.8%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

872.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re)))) 4)
434.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
371.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))
368.0ms	(cbrt.f64 (cbrt.f64 (.f64 (+.f64 im (.f64 1/120 (pow.f64 im 5))) (cos.f64 re))))

Compiler

Compiled 6560 to 4916 computations (25.1% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5381	2387

prune364.0ms (2.5%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	93	10	103

Error

0.0b

Counts

103 → 10

Compiler

Compiled 6309 to 4410 computations (30.1% saved)

regimes767.0ms (5.3%)

Accuracy

Total 0.7b remaining (95.4%)

Threshold costs 0.7b (95.4%)

Compiler

Compiled 10669 to 8114 computations (23.9% 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%)

sample5.3s (36.4%)

Algorithm

1×

intervals

Results

1.8s	4885×	body	1024	valid
456.0ms	1987×	body	1024	invalid
357.0ms	1714×	body	512	valid
220.0ms	409×	body	2048	valid
165.0ms	973×	body	512	invalid
84.0ms	662×	body	256	valid
56.0ms	507×	body	256	invalid
48.0ms	731×	body	128	invalid
21.0ms	330×	body	128	valid

Compiler

Compiled 1794 to 1360 computations (24.2% saved)

Details

analyze507.0ms (3.5%)

sample129.0ms (0.9%)

simplify100.0ms (0.7%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite72.0ms (0.5%)

series212.0ms (1.5%)

simplify81.0ms (0.6%)

prune55.0ms (0.4%)

localize15.0ms (0.1%)

rewrite160.0ms (1.1%)

series469.0ms (3.2%)

simplify92.0ms (0.6%)

prune163.0ms (1.1%)

localize20.0ms (0.1%)

rewrite236.0ms (1.6%)

series2.7s (18.6%)

simplify120.0ms (0.8%)

prune409.0ms (2.8%)

localize29.0ms (0.2%)

rewrite269.0ms (1.9%)

series2.1s (14.8%)

simplify69.0ms (0.5%)

prune364.0ms (2.5%)

regimes767.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.3s (36.4%)

Profiling