Details

analyze526.0ms (4.2%)

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)

sample135.0ms (1.1%)

Algorithm

1×

intervals

Results

62.0ms	126×	body	1024	valid
17.0ms	61×	body	1024	invalid
15.0ms	65×	body	512	valid
8.0ms	43×	body	512	invalid
6.0ms	91×	body	128	invalid
6.0ms	40×	body	256	valid
3.0ms	5×	body	2048	valid
2.0ms	14×	body	256	invalid
1.0ms	20×	body	128	valid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify310.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4703	18
1	4703	18

prune3.0ms (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

Merged error: 41.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize13.0ms (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)))
5.3b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_3885` `*-un-lft-identity_binary64_3863`
9×	`cancel-sign-sub-inv_binary64_3829`
7×	`pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
6×	`add-cube-cbrt_binary64_3898`
5×	`associate-r_binary64_3803`
4×	`add-log-exp_binary64_3902` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812`
3×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-prod-down_binary64_3934` `sub-neg_binary64_3856`
2×	`flip--_binary64_3838` `flip3--_binary64_3867` `distribute-lft-out--_binary64_3815` `associate-*r/_binary64_3805` `difference-of-squares_binary64_3832`
1×	`-commutative_binary64_3794` `associate-l*_binary64_3804` `diff-log_binary64_3955`

Counts

2 → 46

Calls

2 calls:

12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series192.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

149.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
43.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4880	911
1	4880	911

prune79.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	2	53

Merged error: 0.1b

Counts

53 → 2

Compiler

Compiled 1236 to 663 computations (46.4% saved)

localize15.0ms (0.1%)

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 (.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)))
0.1b	(*.f64 1/3 (pow.f64 im 3))

rewrite45.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3885`
19×	`add-exp-log_binary64_3901`
18×	`associate-r_binary64_3803`
13×	`add-cbrt-cube_binary64_3899`
12×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
11×	`associate-l_binary64_3804`
9×	`prod-exp_binary64_3912` `add-log-exp_binary64_3902` `pow1_binary64_3924`
8×	`unpow-prod-down_binary64_3942`
7×	`unswap-sqr_binary64_3831`
5×	`cbrt-unprod_binary64_3896`
4×	`sqr-pow_binary64_3835` `cube-prod_binary64_3891`
3×	`*-commutative_binary64_3794` `pow-prod-down_binary64_3934`
2×	`pow-exp_binary64_3931` `associate-+l+_binary64_3796` `flip3-+_binary64_3866` `sum-log_binary64_3954` `associate-*r/_binary64_3805` `pow-to-exp_binary64_3932` `flip-+_binary64_3837`
1×	`cube-mult_binary64_3893` `cancel-sign-sub-inv_binary64_3829` `unpow3_binary64_3929` `distribute-rgt-in_binary64_3813` `distribute-lft-in_binary64_3812` `associate-+l-_binary64_3798` `+-commutative_binary64_3793` `sub-neg_binary64_3856` `diff-log_binary64_3955`

Counts

4 → 93

Calls

4 calls:

12.0ms	(.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)))
11.0ms	(+.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)

series468.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

291.0ms	(.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)))
64.0ms	(+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60))
62.0ms	(*.f64 (pow.f64 im 5) -1/60)
50.0ms	(*.f64 1/3 (pow.f64 im 3))

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5029	1865

prune231.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	101	4	105
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

Compiler

Compiled 4152 to 3285 computations (20.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
16.6b	(cbrt.f64 (.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))))
16.6b	(cbrt.f64 (.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))))
16.6b	(cbrt.f64 (.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))))

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_3805`
18×	`cbrt-div_binary64_3895`
11×	`pow1_binary64_3924`
10×	`add-sqr-sqrt_binary64_3885`
9×	`flip3-+_binary64_3866` `pow1/3_binary64_3945` `flip-+_binary64_3837`
8×	`add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
7×	`cbrt-prod_binary64_3894`
6×	`add-exp-log_binary64_3901`
4×	`swap-sqr_binary64_3830` `add-log-exp_binary64_3902` `associate-r_binary64_3803` `frac-times_binary64_3873` `add-cbrt-cube_binary64_3899` `associate-l_binary64_3804`
2×	`pow-sqr_binary64_3836` `associate-*l/_binary64_3806` `pow-prod-up_binary64_3933` `pow-prod-down_binary64_3934`
1×	`prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `pow-plus_binary64_3926` `pow2_binary64_3944` `unswap-sqr_binary64_3831` `*-commutative_binary64_3794`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
11.0ms	(cbrt.f64 (.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))))
10.0ms	(cbrt.f64 (.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))))
10.0ms	(cbrt.f64 (.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))))

series2.8s (22.1%)

Counts

4 → 12

Calls

4 calls:

996.0ms	(.f64 (cbrt.f64 (.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)))) (cbrt.f64 (.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)))))
598.0ms	(cbrt.f64 (.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))))
587.0ms	(cbrt.f64 (.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))))
581.0ms	(cbrt.f64 (.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))))

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5011	4064

prune479.0ms (3.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Merged error: 0.0b

Counts

90 → 8

Compiler

Compiled 8079 to 6386 computations (21% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
0.7b	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))
16.6b	(cbrt.f64 (.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))))
16.6b	(cbrt.f64 (.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))))

rewrite39.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_3895` `cbrt-prod_binary64_3894`
5×	`add-sqr-sqrt_binary64_3885` `add-cube-cbrt_binary64_3898` `*-un-lft-identity_binary64_3863`
4×	`add-log-exp_binary64_3902` `pow1/3_binary64_3945` `pow1_binary64_3924` `add-cbrt-cube_binary64_3899` `associate-*r/_binary64_3805` `add-exp-log_binary64_3901`
3×	`flip3-+_binary64_3866` `flip-+_binary64_3837`

Counts

4 → 44

Calls

4 calls:

11.0ms	(cbrt.f64 (.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))))
10.0ms	(cbrt.f64 (.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	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
3.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

series1.5s (11.9%)

Counts

4 → 12

Calls

4 calls:

589.0ms	(cbrt.f64 (.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))))
561.0ms	(cbrt.f64 (.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))))
179.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (*.f64 (pow.f64 im 5) -1/60)))
159.0ms	(cbrt.f64 (*.f64 1/2 (sin.f64 re)))

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4909	1990
1	4909	1990

prune316.0ms (2.5%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	54	10	64

Merged error: 0.0b

Counts

64 → 10

Compiler

Compiled 5978 to 4734 computations (20.8% saved)

regimes231.0ms (1.9%)

Compiler: Compiled 3356 to 2804 computations (16.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms (0%)

sample4.7s (38%)

Algorithm

1×

intervals

Results

2.0s	4050×	body	1024	valid
581.0ms	1987×	body	1024	invalid
509.0ms	2079×	body	512	valid
208.0ms	1072×	body	512	invalid
175.0ms	2540×	body	128	invalid
158.0ms	1051×	body	256	valid
156.0ms	221×	body	2048	valid
63.0ms	482×	body	256	invalid
43.0ms	599×	body	128	valid

Compiler

Compiled 624 to 517 computations (17.1% saved)

Details

analyze526.0ms (4.2%)

sample135.0ms (1.1%)

simplify310.0ms (2.5%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite23.0ms (0.2%)

series192.0ms (1.5%)

simplify77.0ms (0.6%)

prune79.0ms (0.6%)

localize15.0ms (0.1%)

rewrite45.0ms (0.4%)

series468.0ms (3.7%)

simplify44.0ms (0.4%)

prune231.0ms (1.9%)

localize19.0ms (0.2%)

rewrite57.0ms (0.5%)

series2.8s (22.1%)

simplify78.0ms (0.6%)

prune479.0ms (3.8%)

localize27.0ms (0.2%)

rewrite39.0ms (0.3%)

series1.5s (11.9%)

simplify81.0ms (0.6%)

prune316.0ms (2.5%)

regimes231.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.7s (38%)

Profiling