Details

analyze356.0ms (3.7%)

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)

sample137.0ms (1.4%)

Algorithm

1×

intervals

Results

69.0ms	154×	body	1024	valid
20.0ms	75×	body	1024	invalid
13.0ms	56×	body	512	valid
9.0ms	14×	body	2048	valid
5.0ms	28×	body	512	invalid
3.0ms	21×	body	256	invalid
2.0ms	17×	body	256	valid
1.0ms	21×	body	128	invalid
1.0ms	15×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify226.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4896	18
1	4896	18

prune5.0ms (0.1%)

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

Merged error: 57.1b

Counts

2 → 1

Compiler

Compiled 45 to 41 computations (8.9% saved)

localize10.0ms (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)))
6.2b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64_3519` `add-sqr-sqrt_binary64_3541`
9×	`cancel-sign-sub-inv_binary64_3485`
7×	`add-cbrt-cube_binary64_3555` `add-exp-log_binary64_3557` `pow1_binary64_3580`
6×	`add-cube-cbrt_binary64_3554`
5×	`associate-r_binary64_3459`
4×	`add-log-exp_binary64_3558` `distribute-lft-in_binary64_3468` `distribute-rgt-in_binary64_3469`
3×	`pow-prod-down_binary64_3590` `prod-exp_binary64_3568` `sub-neg_binary64_3512` `cbrt-unprod_binary64_3552`
2×	`difference-of-squares_binary64_3488` `flip--_binary64_3494` `associate-*r/_binary64_3461` `distribute-lft-out--_binary64_3471` `flip3--_binary64_3523`
1×	`diff-log_binary64_3611` `associate-l_binary64_3460` `*-commutative_binary64_3450`

Counts

2 → 46

Calls

2 calls:

13.0ms	(.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))

series195.0ms (2%)

Counts

2 → 6

Calls

2 calls:

150.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
45.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4880	927
1	4880	927

prune95.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Merged error: 0.1b

Counts

53 → 3

Compiler

Compiled 1466 to 821 computations (44% saved)

localize14.0ms (0.2%)

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))

rewrite38.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3541`
19×	`add-exp-log_binary64_3557`
18×	`associate-r_binary64_3459`
13×	`add-cbrt-cube_binary64_3555`
12×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`associate-l_binary64_3460`
9×	`prod-exp_binary64_3568` `pow1_binary64_3580`
8×	`unpow-prod-down_binary64_3598`
7×	`unswap-sqr_binary64_3487`
6×	`add-log-exp_binary64_3558`
5×	`cbrt-unprod_binary64_3552`
4×	`cube-prod_binary64_3547` `sqr-pow_binary64_3491`
3×	`pow-prod-down_binary64_3590` `*-commutative_binary64_3450`
2×	`pow-exp_binary64_3587` `pow-to-exp_binary64_3588` `associate-*r/_binary64_3461`
1×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `diff-log_binary64_3611` `flip--_binary64_3494` `cancel-sign-sub-inv_binary64_3485` `sub-neg_binary64_3512` `distribute-lft-in_binary64_3468` `cube-mult_binary64_3549` `unpow3_binary64_3585` `distribute-rgt-in_binary64_3469` `flip3--_binary64_3523`

Counts

4 → 90

Calls

4 calls:

12.0ms	(.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)))

series548.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

292.0ms	(.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)))
144.0ms	(-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))
59.0ms	(*.f64 (pow.f64 im 5) -1/60)
52.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5026	1652

prune344.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	94	11	105

Merged error: 0.0b

Counts

105 → 11

Compiler

Compiled 6319 to 5154 computations (18.4% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3550`
23×	`add-sqr-sqrt_binary64_3541`
18×	`cbrt-div_binary64_3551`
15×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`pow1_binary64_3580`
9×	`flip-+_binary64_3493` `flip3-+_binary64_3522` `pow1/3_binary64_3601`
6×	`add-exp-log_binary64_3557` `associate-r_binary64_3459` `associate-l_binary64_3460` `swap-sqr_binary64_3486`
4×	`add-cbrt-cube_binary64_3555` `add-log-exp_binary64_3558` `frac-times_binary64_3529` `unswap-sqr_binary64_3487`
2×	`pow-prod-up_binary64_3589` `associate-l/_binary64_3462` `pow-prod-down_binary64_3590` `associate-r/_binary64_3461` `pow-sqr_binary64_3492`
1×	`pow-plus_binary64_3582` `prod-exp_binary64_3568` `cbrt-unprod_binary64_3552` `*-commutative_binary64_3450` `pow2_binary64_3600`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (+.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))))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
7.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

series727.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

217.0ms	(.f64 (cbrt.f64 (+.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))))
172.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
170.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
169.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4914	4377
1	4914	4377

prune475.0ms (5%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	98	12	110

Merged error: 0.0b

Counts

110 → 12

Compiler

Compiled 7848 to 6398 computations (18.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3550`
23×	`add-sqr-sqrt_binary64_3541`
18×	`cbrt-div_binary64_3551`
15×	`*-un-lft-identity_binary64_3519` `add-cube-cbrt_binary64_3554`
11×	`pow1_binary64_3580`
9×	`flip--_binary64_3494` `pow1/3_binary64_3601` `flip3--_binary64_3523`
6×	`add-exp-log_binary64_3557` `associate-r_binary64_3459` `associate-l_binary64_3460` `swap-sqr_binary64_3486`
4×	`add-cbrt-cube_binary64_3555` `add-log-exp_binary64_3558` `frac-times_binary64_3529` `unswap-sqr_binary64_3487`
2×	`pow-prod-up_binary64_3589` `associate-l/_binary64_3462` `pow-prod-down_binary64_3590` `associate-r/_binary64_3461` `pow-sqr_binary64_3492`
1×	`pow-plus_binary64_3582` `prod-exp_binary64_3568` `cbrt-unprod_binary64_3552` `*-commutative_binary64_3450` `pow2_binary64_3600`

Counts

4 → 87

Calls

4 calls:

14.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (cbrt.f64 (-.f64 (.f64 im -2) (*.f64 1/3 (pow.f64 im 3)))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
4.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))

series655.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3)))) (cbrt.f64 (-.f64 (.f64 im -2) (*.f64 1/3 (pow.f64 im 3)))))
166.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
155.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))
147.0ms	(cbrt.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))))

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5051	2884

prune336.0ms (3.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	99	12	111

Merged error: 0.0b

Counts

111 → 12

Compiler

Compiled 5582 to 4485 computations (19.7% saved)

regimes153.0ms (1.6%)

Compiler: Compiled 1756 to 1520 computations (13.4% saved)

bsearch47.0ms (0.5%)

Steps

Iters	Range		Point
9	-0.3266957999283024	-2.0131118503346367e-06	-0.014919648224425593

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	54
1	74	54

end0.0ms (0%)

sample4.6s (48.7%)

Algorithm

1×

intervals

Results

2.2s	4906×	body	1024	valid
565.0ms	2065×	body	1024	invalid
416.0ms	1691×	body	512	valid
262.0ms	408×	body	2048	valid
193.0ms	1009×	body	512	invalid
96.0ms	647×	body	256	valid
67.0ms	522×	body	256	invalid
54.0ms	777×	body	128	invalid
26.0ms	348×	body	128	valid

Compiler

Compiled 525 to 445 computations (15.2% saved)

Details

analyze356.0ms (3.7%)

sample137.0ms (1.4%)

simplify226.0ms (2.4%)

prune5.0ms (0.1%)

localize10.0ms (0.1%)

rewrite24.0ms (0.2%)

series195.0ms (2%)

simplify78.0ms (0.8%)

prune95.0ms (1%)

localize14.0ms (0.2%)

rewrite38.0ms (0.4%)

series548.0ms (5.8%)

simplify64.0ms (0.7%)

prune344.0ms (3.6%)

localize21.0ms (0.2%)

rewrite60.0ms (0.6%)

series727.0ms (7.6%)

simplify109.0ms (1.1%)

prune475.0ms (5%)

localize19.0ms (0.2%)

rewrite40.0ms (0.4%)

series655.0ms (6.9%)

simplify101.0ms (1.1%)

prune336.0ms (3.5%)

regimes153.0ms (1.6%)

bsearch47.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.6s (48.7%)

Profiling