Details

analyze352.0ms

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
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

sample152.0ms

Algorithm

intervals

Results

57.0ms	103×	body	1280	valid
28.0ms	89×	body	640	valid
16.0ms	46×	body	1280	invalid
10.0ms	41×	body	640	invalid
8.0ms	31×	body	320	invalid
8.0ms	37×	body	320	valid
7.0ms	113×	body	80	invalid
3.0ms	20×	body	160	valid
1.0ms	9×	body	160	invalid
0.0ms	7×	body	80	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4861	11
1	4861	11

prune3.0ms

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: 45.0b

Counts

2 → 1

localize10.0ms

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)))
7.9b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

11.0ms	(.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))

series27.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify56.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4895	465
1	4895	465

prune61.0ms

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

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(.f64 (.f64 1/2 (sin.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)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
18×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64`
12×	`add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`prod-exp_binary64`
8×	`pow1_binary64` `unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 78

Calls

3 calls:

6.0ms	(*.f64 1/60 (pow.f64 im 5))
12.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))
7.0ms	(*.f64 (pow.f64 im 3) -1/3)

series61.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(*.f64 1/60 (pow.f64 im 5))
49.0ms	(.f64 (.f64 1/2 (sin.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)

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4955	921
1	4955	921

prune121.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	80	10	90

Merged error: 0.0b

Counts

90 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.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)))))
8.0ms	(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)))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(.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))))))
24.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
25.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))
30.0ms	(cbrt.f64 (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

simplify57.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5798	2930

prune340.0ms

Filtered

83 candidates to 99 candidates (-19.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
12.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
12.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
12.9b	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
12.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
13.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(.f64 (cbrt.f64 (.f64 (.f64 1/2 (sin.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 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5)))))))
102.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.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 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))
104.0ms	(cbrt.f64 (.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 -1/3 (pow.f64 im 3)) (*.f64 1/60 (pow.f64 im 5))))))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4940	2683
1	4940	2683

prune248.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	82	13	95

Merged error: 0.0b

Counts

95 → 13

regimes464.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	3335×	body	1280	valid
793.0ms	2467×	body	640	valid
511.0ms	1469×	body	1280	invalid
291.0ms	1236×	body	640	invalid
269.0ms	1302×	body	320	valid
158.0ms	2408×	body	80	invalid
100.0ms	596×	body	320	invalid
87.0ms	657×	body	160	valid
38.0ms	319×	body	160	invalid
15.0ms	239×	body	80	valid

Details

analyze352.0ms

sample152.0ms

simplify56.0ms

prune3.0ms

localize10.0ms

rewrite19.0ms

series27.0ms

simplify56.0ms

prune61.0ms

localize14.0ms

rewrite27.0ms

series61.0ms

simplify55.0ms

prune121.0ms

localize27.0ms

rewrite45.0ms

series109.0ms

simplify57.0ms

prune340.0ms

localize19.0ms

rewrite47.0ms

series469.0ms

simplify65.0ms

prune248.0ms

regimes464.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.5s

Profiling