Details

analyze354.0ms

Algorithm

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

sample141.0ms

Algorithm

intervals

Results

76.0ms	152×	body	1280	valid
23.0ms	70×	body	640	valid
13.0ms	41×	body	1280	invalid
7.0ms	34×	body	640	invalid
4.0ms	21×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	9×	body	160	valid
1.0ms	9×	body	160	invalid
1.0ms	12×	body	80	invalid
0.0ms	4×	body	80	valid

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5354	18

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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

Merged error: 58.6b

Counts

2 → 1

localize13.0ms

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)))
3.8b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `*-un-lft-identity_binary64_590` `pow1_binary64_532` `add-sqr-sqrt_binary64_575`
5×	`associate-r_binary64_649`
4×	`add-log-exp_binary64_555`
3×	`cbrt-unprod_binary64_559` `pow-prod-down_binary64_513` `sub-neg_binary64_594` `add-cube-cbrt_binary64_561` `prod-exp_binary64_537`
2×	`flip--_binary64_616` `difference-of-squares_binary64_619` `flip3--_binary64_589` `distribute-lft-out--_binary64_635` `associate-*r/_binary64_651`
1×	`distribute-rgt-in_binary64_633` `-commutative_binary64_658` `distribute-lft-in_binary64_632` `associate-l*_binary64_650` `diff-log_binary64_501`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series101.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
24.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify68.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4914	780
1	4914	780

prune41.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.2b

Counts

44 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 (pow.f64 im 3) -1/3)
0.2b	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_575`
19×	`add-exp-log_binary64_554`
16×	`associate-l_binary64_650`
13×	`add-cbrt-cube_binary64_562` `associate-r_binary64_649`
12×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
9×	`prod-exp_binary64_537` `pow1_binary64_532`
8×	`unpow-prod-down_binary64_521`
7×	`unswap-sqr_binary64_618`
6×	`add-log-exp_binary64_555`
5×	`cbrt-unprod_binary64_559`
4×	`sqr-pow_binary64_622` `cube-prod_binary64_563`
3×	`pow-prod-down_binary64_513` `*-commutative_binary64_658`
2×	`pow-to-exp_binary64_511` `pow-exp_binary64_510` `associate-*r/_binary64_651`
1×	`flip-+_binary64_615` `sub-neg_binary64_594` `flip--_binary64_616` `distribute-rgt-in_binary64_633` `cube-mult_binary64_565` `flip3--_binary64_589` `distribute-lft-in_binary64_632` `unpow3_binary64_530` `flip3-+_binary64_588` `diff-log_binary64_501`

Counts

4 → 89

Calls

4 calls:

8.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

series298.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
31.0ms	(*.f64 1/60 (pow.f64 im 5))
31.0ms	(*.f64 (pow.f64 im 3) -1/3)
149.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

simplify81.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5038	1707

prune123.0ms

Filtered

64 candidates to 101 candidates (-57.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	96	9	105

Merged error: 0.1b

Counts

105 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))))
0.1b	(*.f64 (pow.f64 im 3) -1/3)
0.2b	(*.f64 (cos.f64 re) (neg.f64 im))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_575`
23×	`associate-r_binary64_649`
21×	`add-exp-log_binary64_554`
19×	`associate-l_binary64_650`
16×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
15×	`add-cbrt-cube_binary64_562`
11×	`pow1_binary64_532`
10×	`prod-exp_binary64_537`
8×	`unpow-prod-down_binary64_521` `unswap-sqr_binary64_618`
6×	`cbrt-unprod_binary64_559`
4×	`pow-prod-down_binary64_513` `*-commutative_binary64_658` `add-log-exp_binary64_555` `sqr-pow_binary64_622` `cube-prod_binary64_563`
3×	`distribute-rgt-neg-in_binary64_625` `distribute-lft-neg-in_binary64_624`
2×	`pow-to-exp_binary64_511` `sub-neg_binary64_594` `pow-exp_binary64_510` `associate-*r/_binary64_651`
1×	`distribute-rgt-neg-out_binary64_627` `flip--_binary64_616` `neg-mul-1_binary64_597` `distribute-rgt-in_binary64_633` `cube-mult_binary64_565` `flip3--_binary64_589` `distribute-lft-in_binary64_632` `unpow3_binary64_530`

Counts

4 → 104

Calls

4 calls:

5.0ms	(*.f64 1/60 (pow.f64 im 5))
10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.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 (cos.f64 re) (neg.f64 im))

series325.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(*.f64 1/60 (pow.f64 im 5))
227.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))))
24.0ms	(*.f64 (pow.f64 im 3) -1/3)
37.0ms	(*.f64 (cos.f64 re) (neg.f64 im))

simplify78.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5071	1530

prune126.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Merged error: 0.0b

Counts

125 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_557`
23×	`add-sqr-sqrt_binary64_575`
15×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
11×	`pow1_binary64_532`
9×	`pow1/3_binary64_524`
6×	`swap-sqr_binary64_617` `add-exp-log_binary64_554` `associate-l_binary64_650` `associate-r_binary64_649`
4×	`add-cbrt-cube_binary64_562` `unswap-sqr_binary64_618` `add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `pow-sqr_binary64_623`
1×	`cbrt-unprod_binary64_559` `pow2_binary64_523` `prod-exp_binary64_537` `*-commutative_binary64_658` `pow-plus_binary64_527`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
1.0ms	(cbrt.f64 (cos.f64 re))
9.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (cos.f64 re))
75.0ms	(cbrt.f64 (cos.f64 re))
74.0ms	(cbrt.f64 (cos.f64 re))
110.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5647	772

prune88.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	7	9
Picked	1	0	1
Done	0	1	1
Total	86	10	96

Merged error: 0.0b

Counts

96 → 10

regimes116.0ms

Accuracy

0% (0.6b remaining)

Error of 0.8b against oracle of 0.2b and baseline of 0.8b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	73	32
1	73	32

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	4225×	body	1280	valid
754.0ms	2423×	body	640	valid
509.0ms	1514×	body	1280	invalid
284.0ms	1254×	body	640	invalid
168.0ms	829×	body	320	valid
96.0ms	607×	body	320	invalid
53.0ms	381×	body	160	valid
32.0ms	516×	body	80	invalid
32.0ms	287×	body	160	invalid
9.0ms	142×	body	80	valid

Details

analyze354.0ms

sample141.0ms

simplify101.0ms

prune4.0ms

localize13.0ms

rewrite18.0ms

series101.0ms

simplify68.0ms

prune41.0ms

localize15.0ms

rewrite33.0ms

series298.0ms

simplify81.0ms

prune123.0ms

localize16.0ms

rewrite30.0ms

series325.0ms

simplify78.0ms

prune126.0ms

localize19.0ms

rewrite14.0ms

series336.0ms

simplify105.0ms

prune88.0ms

regimes116.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample4.4s

Profiling