Details

analyze363.0ms

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

sample147.0ms

Algorithm

intervals

Results

70.0ms	134×	body	1280	valid
22.0ms	72×	body	640	valid
20.0ms	61×	body	1280	invalid
7.0ms	33×	body	640	invalid
6.0ms	29×	body	320	valid
4.0ms	26×	body	320	invalid
2.0ms	15×	body	160	valid
2.0ms	13×	body	160	invalid
1.0ms	18×	body	80	invalid
0.0ms	6×	body	80	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5354	18

prune8.0ms

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: 57.0b

Counts

2 → 1

localize11.0ms

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)))
8.6b	(-.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))

series91.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
22.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify76.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4914	780
1	4914	780

prune48.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

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

localize18.0ms

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

rewrite31.0ms

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:

5.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
5.0ms	(*.f64 1/60 (pow.f64 im 5))
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)))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)

series297.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
35.0ms	(*.f64 1/60 (pow.f64 im 5))
151.0ms	(.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)))))
25.0ms	(*.f64 (pow.f64 im 3) -1/3)

simplify83.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5038	1707

prune125.0ms

Filtered

67 candidates to 101 candidates (-50.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	95	6	101
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64_651`
18×	`cbrt-div_binary64_558`
11×	`pow1_binary64_532`
10×	`add-sqr-sqrt_binary64_575`
9×	`pow1/3_binary64_524` `flip-+_binary64_615` `flip3-+_binary64_588`
8×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
7×	`cbrt-prod_binary64_557`
6×	`add-exp-log_binary64_554`
4×	`swap-sqr_binary64_617` `add-cbrt-cube_binary64_562` `frac-times_binary64_582` `add-log-exp_binary64_555` `associate-l_binary64_650` `associate-r_binary64_649`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `associate-*l/_binary64_652` `pow-sqr_binary64_623`
1×	`cbrt-unprod_binary64_559` `unswap-sqr_binary64_618` `pow2_binary64_523` `prod-exp_binary64_537` `*-commutative_binary64_658` `pow-plus_binary64_527`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.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 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
10.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.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 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.1s	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (cos.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 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
332.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
334.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
333.0ms	(cbrt.f64 (.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify87.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4941	4174
1	4941	4174

prune317.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_557`
23×	`add-sqr-sqrt_binary64_575`
18×	`cbrt-div_binary64_558`
15×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
11×	`pow1_binary64_532`
9×	`pow1/3_binary64_524` `flip-+_binary64_615` `flip3-+_binary64_588`
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` `frac-times_binary64_582` `add-log-exp_binary64_555`
2×	`pow-prod-up_binary64_512` `pow-prod-down_binary64_513` `associate-l/_binary64_652` `associate-r/_binary64_651` `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 → 87

Calls

4 calls:

18.0ms	(.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))))))
7.0ms	(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 -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)))))

series420.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(.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))))))
101.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
95.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
103.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

simplify177.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4906	4285
1	4906	4285

prune344.0ms

Filtered

83 candidates to 99 candidates (-19.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

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

Merged error: 0.0b

Counts

109 → 11

regimes153.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	30
1	51	30

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.2s	4281×	body	1280	valid
728.0ms	2319×	body	640	valid
488.0ms	1431×	body	1280	invalid
269.0ms	1190×	body	640	invalid
186.0ms	890×	body	320	valid
106.0ms	615×	body	320	invalid
46.0ms	362×	body	160	valid
36.0ms	320×	body	160	invalid
33.0ms	536×	body	80	invalid
9.0ms	148×	body	80	valid

Details

analyze363.0ms

sample147.0ms

simplify108.0ms

prune8.0ms

localize11.0ms

rewrite18.0ms

series91.0ms

simplify76.0ms

prune48.0ms

localize18.0ms

rewrite31.0ms

series297.0ms

simplify83.0ms

prune125.0ms

localize20.0ms

rewrite44.0ms

series2.1s

simplify87.0ms

prune317.0ms

localize26.0ms

rewrite42.0ms

series420.0ms

simplify177.0ms

prune344.0ms

regimes153.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample4.4s

Profiling