Details

analyze485.0ms (2.7%)

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)

sample148.0ms (0.8%)

Algorithm

1×

intervals

Results

78.0ms	166×	body	1024	valid
18.0ms	66×	body	1024	invalid
14.0ms	53×	body	512	valid
6.0ms	28×	body	512	invalid
5.0ms	8×	body	2048	valid
3.0ms	21×	body	256	valid
3.0ms	22×	body	256	invalid
1.0ms	19×	body	128	invalid
1.0ms	8×	body	128	valid

Compiler

Compiled 25 to 25 computations (0% saved)

simplify261.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5340	18

prune8.0ms (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

57.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
9×	`cancel-sign-sub-inv_binary64_4136`
7×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
6×	`add-cube-cbrt_binary64_4205`
5×	`associate-r_binary64_4110`
4×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `add-log-exp_binary64_4209`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow-prod-down_binary64_4241` `sub-neg_binary64_4163`
2×	`associate-*r/_binary64_4112` `flip3--_binary64_4174` `difference-of-squares_binary64_4139` `distribute-lft-out--_binary64_4122` `flip--_binary64_4145`
1×	`associate-l_binary64_4111` `diff-log_binary64_4262` `*-commutative_binary64_4101`

Counts

2 → 46

Calls

4 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))
0.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series312.0ms (1.7%)

Counts

2 → 16

Calls

2 calls:

264.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
48.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

Compiler

Compiled 367 to 310 computations (15.5% saved)

simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5053	1131

prune178.0ms (1%)

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 1061 to 457 computations (56.9% saved)

localize37.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_4192`
29×	`associate-r_binary64_4110`
24×	`add-exp-log_binary64_4208`
15×	`*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
12×	`prod-exp_binary64_4219` `associate--l+_binary64_4107` `unpow-prod-down_binary64_4249`
10×	`associate-l_binary64_4111` `unswap-sqr_binary64_4138`
9×	`pow1_binary64_4231`
6×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `sqr-pow_binary64_4142` `cbrt-unprod_binary64_4203` `cancel-sign-sub-inv_binary64_4136` `sub-neg_binary64_4163`
4×	`cube-prod_binary64_4198` `*-commutative_binary64_4101` `add-log-exp_binary64_4209`
3×	`pow-to-exp_binary64_4239` `pow-exp_binary64_4238` `pow-prod-down_binary64_4241`
2×	`associate-*r/_binary64_4112`
1×	`flip3--_binary64_4174` `cube-mult_binary64_4200` `unpow3_binary64_4236` `flip--_binary64_4145`

Counts

4 → 113

Calls

8 calls:

16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.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))
6.0ms	(*.f64 1/2520 (pow.f64 im 7))
0.0ms	(-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7)))

series672.0ms (3.7%)

Counts

4 → 21

Calls

4 calls:

448.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (-.f64 (-.f64 (.f64 im -2) (.f64 1/3 (pow.f64 im 3))) (.f64 1/60 (pow.f64 im 5))) (.f64 1/2520 (pow.f64 im 7))))
88.0ms	(*.f64 1/2520 (pow.f64 im 7))
73.0ms	(*.f64 1/60 (pow.f64 im 5))
62.0ms	(*.f64 1/3 (pow.f64 im 3))

Compiler

Compiled 1007 to 861 computations (14.5% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5190	2814

prune365.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	129	9	138

Error

0.1b

Counts

138 → 9

Compiler

Compiled 4753 to 3667 computations (22.8% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_4208`
25×	`associate-l_binary64_4111`
23×	`add-sqr-sqrt_binary64_4192`
15×	`add-cbrt-cube_binary64_4206`
14×	`*-un-lft-identity_binary64_4170` `prod-exp_binary64_4219` `add-cube-cbrt_binary64_4205`
10×	`associate-r_binary64_4110`
8×	`pow1_binary64_4231`
7×	`unpow-prod-down_binary64_4249`
6×	`cbrt-unprod_binary64_4203`
5×	`unswap-sqr_binary64_4138`
4×	`*-commutative_binary64_4101` `add-log-exp_binary64_4209`
3×	`pow-to-exp_binary64_4239` `sqr-pow_binary64_4142` `pow-exp_binary64_4238` `cube-prod_binary64_4198`
2×	`associate-*r/_binary64_4112` `pow-prod-down_binary64_4241`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `cube-mult_binary64_4200` `flip-+_binary64_4144` `flip3-+_binary64_4173` `unpow3_binary64_4236`

Counts

4 → 94

Calls

8 calls:

14.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
11.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
10.0ms	(*.f64 (pow.f64 im 5) 1/120)
4.0ms	(*.f64 (cos.f64 re) -1/6)
0.0ms	(+.f64 im (*.f64 (pow.f64 im 5) 1/120))

series625.0ms (3.4%)

Counts

4 → 24

Calls

4 calls:

365.0ms	(.f64 (cos.f64 re) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
172.0ms	(.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6))
55.0ms	(*.f64 (pow.f64 im 5) 1/120)
32.0ms	(*.f64 (cos.f64 re) -1/6)

Compiler

Compiled 887 to 703 computations (20.7% saved)

simplify88.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4938	1564
1	4938	1564

prune321.0ms (1.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	112	6	118
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	116	11	127

Error

0.0b

Counts

127 → 11

Compiler

Compiled 3122 to 2083 computations (33.3% saved)

localize33.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (cbrt.f64 (cos.f64 re)) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))
0.0b	(*.f64 (pow.f64 im 5) 1/120)
0.0b	(-.f64 (.f64 (pow.f64 im 3) (.f64 (cos.f64 re) -1/6)) (.f64 (.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re))) (.f64 (cbrt.f64 (cos.f64 re)) (+.f64 im (.f64 (pow.f64 im 5) 1/120)))))
0.0b	(+.f64 im (*.f64 (pow.f64 im 5) 1/120))
0.2b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`swap-sqr_binary64_4137` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110`
4×	`add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`pow-prod-up_binary64_4240` `pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
2.0ms	(cbrt.f64 (cos.f64 re))
2.0ms	(cbrt.f64 (cos.f64 re))
2.0ms	(cbrt.f64 (cos.f64 re))
0.0ms	(+.f64 im (*.f64 (pow.f64 im 5) 1/120))

series523.0ms (2.9%)

Counts

4 → 24

Calls

4 calls:

166.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
130.0ms	(cbrt.f64 (cos.f64 re))
122.0ms	(cbrt.f64 (cos.f64 re))
105.0ms	(cbrt.f64 (cos.f64 re))

Compiler

Compiled 1000 to 744 computations (25.6% saved)

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4952	928
1	4952	928

prune222.0ms (1.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	95	13	108

Error

0.0b

Counts

108 → 13

Compiler

Compiled 3015 to 1584 computations (47.5% saved)

simplify365.0ms (2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	4392	2417
1	4392	2417

regimes492.0ms (2.7%)

Accuracy

Total 0.6b remaining (98.4%)

Threshold costs 0.6b (98.4%)

Compiler

Compiled 4556 to 3593 computations (21.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	39
1	104	39

end0.0ms (0%)

sample12.6s (68.9%)

Algorithm

1×

intervals

Results

2.6s	4812×	body	1024	valid
670.0ms	2037×	body	1024	invalid
555.0ms	1758×	body	512	valid
320.0ms	404×	body	2048	valid
245.0ms	1040×	body	512	invalid
128.0ms	657×	body	256	valid
75.0ms	471×	body	256	invalid
63.0ms	712×	body	128	invalid
33.0ms	369×	body	128	valid

Compiler

Compiled 4603 to 3622 computations (21.3% saved)

Pareto

0.18265787432253652

Details

analyze485.0ms (2.7%)

sample148.0ms (0.8%)

simplify261.0ms (1.4%)

prune8.0ms (0%)

localize9.0ms (0%)

rewrite29.0ms (0.2%)

series312.0ms (1.7%)

simplify127.0ms (0.7%)

prune178.0ms (1%)

localize37.0ms (0.2%)

rewrite50.0ms (0.3%)

series672.0ms (3.7%)

simplify88.0ms (0.5%)

prune365.0ms (2%)

localize13.0ms (0.1%)

rewrite54.0ms (0.3%)

series625.0ms (3.4%)

simplify88.0ms (0.5%)

prune321.0ms (1.8%)

localize33.0ms (0.2%)

rewrite33.0ms (0.2%)

series523.0ms (2.9%)

simplify121.0ms (0.7%)

prune222.0ms (1.2%)

simplify365.0ms (2%)

regimes492.0ms (2.7%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample12.6s (68.9%)

Profiling