Details

sample152.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

57.0ms	101×	body	1280	valid
26.0ms	85×	body	640	valid
15.0ms	42×	body	1280	invalid
12.0ms	43×	body	320	valid
8.0ms	33×	body	640	invalid
7.0ms	122×	body	80	invalid
4.0ms	26×	body	320	invalid
2.0ms	19×	body	160	valid
1.0ms	12×	body	160	invalid
1.0ms	8×	body	80	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	40	7
2	88	7
3	141	7
4	365	7
5	780	7
6	1025	7
7	2309	7
8	5002	7

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: 43.7b

Counts

2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.6b	(- (exp (neg im)) (exp im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`associate-r`
4×	`add-log-exp`
3×	`add-cube-cbrt` `sub-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 40

Calls

2 calls:

9.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms	(- (exp (neg im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

simplify33.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	241	393
1	1046	329
2	5001	328

prune72.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b	(* 1/60 (pow im 5))
0.1b	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.2b	(* -1/3 (pow im 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1` `prod-exp` `add-log-exp`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`sub-neg` `pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `flip3--` `distribute-lft-in` `diff-log` `associate-*r/` `pow-exp` `flip--`
1×	`cube-mult` `unpow3` `sum-log` `associate--r+`

Counts

4 → 94

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
10.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(* -1/3 (pow im 3))

series51.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
7.0ms	(* 1/60 (pow im 5))
34.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(* -1/3 (pow im 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	447	758
1	2066	657
2	5001	657

prune204.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
20.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
22.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
20.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	403	2076
1	1513	1955
2	5002	1832

prune589.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series86.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))) (cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
20.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
20.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
22.0ms	(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify60.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	403	2076
1	1513	1955
2	5002	1832

prune515.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	99	11	110

Merged error: 0.0b

Counts

110 → 11

regimes377.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample4.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

1.9s	3298×	body	1280	valid
858.0ms	2582×	body	640	valid
500.0ms	1421×	body	1280	invalid
293.0ms	1185×	body	640	invalid
276.0ms	4280×	body	80	invalid
268.0ms	1260×	body	320	valid
115.0ms	642×	body	320	invalid
78.0ms	595×	body	160	valid
34.0ms	280×	body	160	invalid
18.0ms	265×	body	80	valid

Details

sample152.0ms

simplify65.0ms

prune3.0ms

localize14.0ms

rewrite16.0ms

series20.0ms

simplify33.0ms

prune72.0ms

localize17.0ms

rewrite29.0ms

series51.0ms

simplify62.0ms

prune204.0ms

localize22.0ms

rewrite37.0ms

series88.0ms

simplify58.0ms

prune589.0ms

localize19.0ms

rewrite36.0ms

series86.0ms

simplify60.0ms

prune515.0ms

regimes377.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.8s

Profiling