Details

analyze342.0ms (4.4%)

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

sample152.0ms (2%)

Algorithm

1×

intervals

Results

57.0ms	103×	body	1280	valid
30.0ms	89×	body	640	valid
16.0ms	46×	body	1280	invalid
9.0ms	41×	body	640	invalid
8.0ms	37×	body	320	valid
7.0ms	113×	body	80	invalid
5.0ms	31×	body	320	invalid
3.0ms	20×	body	160	valid
1.0ms	9×	body	160	invalid
0.0ms	7×	body	80	valid

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4868	11
1	4868	11

prune5.0ms (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

Merged error: 45.0b

Counts

2 → 1

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.9b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series27.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

22.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5022	469

prune73.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.1b

Counts

44 → 3

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
0.1b	(*.f64 (pow.f64 im 3) -1/3)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64`
12×	`add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`prod-exp_binary64`
8×	`pow1_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 78

Calls

3 calls:

15.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
6.0ms	(*.f64 1/60 (pow.f64 im 5))

series57.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

45.0ms	(.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
7.0ms	(*.f64 1/60 (pow.f64 im 5))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4949	935
1	4949	935

prune159.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5))))) (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
0.6b	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5))))) (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
8.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
7.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))

series103.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5))))) (cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
27.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
23.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
23.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5798	2930

prune415.0ms (5.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
12.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
12.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
12.9b	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite46.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))

series449.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

151.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (.f64 1/60 (pow.f64 im 5)))))) (cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
100.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
99.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
98.0ms	(cbrt.f64 (.f64 (.f64 0.5 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4919	2673
1	4919	2673

prune321.0ms (4.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	82	13	95

Merged error: 0.0b

Counts

95 → 13

regimes452.0ms (5.9%)

Accuracy

Total 0.7b remaining (89.9%)

Threshold costs 0.7b (89.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms (0%)

sample4.6s (60.3%)

Algorithm

1×

intervals

Results

1.9s	3335×	body	1280	valid
958.0ms	2467×	body	640	valid
508.0ms	1469×	body	1280	invalid
291.0ms	1236×	body	640	invalid
265.0ms	1302×	body	320	valid
149.0ms	2408×	body	80	invalid
103.0ms	596×	body	320	invalid
86.0ms	657×	body	160	valid
38.0ms	319×	body	160	invalid
15.0ms	239×	body	80	valid

Details

analyze342.0ms (4.4%)

sample152.0ms (2%)

simplify59.0ms (0.8%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite19.0ms (0.2%)

series27.0ms (0.4%)

simplify42.0ms (0.5%)

prune73.0ms (1%)

localize14.0ms (0.2%)

rewrite29.0ms (0.4%)

series57.0ms (0.7%)

simplify55.0ms (0.7%)

prune159.0ms (2.1%)

localize25.0ms (0.3%)

rewrite44.0ms (0.6%)

series103.0ms (1.3%)

simplify61.0ms (0.8%)

prune415.0ms (5.4%)

localize19.0ms (0.2%)

rewrite46.0ms (0.6%)

series449.0ms (5.8%)

simplify79.0ms (1%)

prune321.0ms (4.2%)

regimes452.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.6s (60.3%)

Profiling