Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.304688%

Guaranteed chance to sample good point: 71.158129%

Results

61.0ms	107×	body	1280	valid
21.0ms	68×	body	640	valid
19.0ms	43×	body	1280	invalid
9.0ms	38×	body	640	invalid
8.0ms	42×	body	320	valid
5.0ms	74×	body	80	invalid
4.0ms	29×	body	160	valid
3.0ms	15×	body	320	invalid
2.0ms	14×	body	160	invalid
1.0ms	10×	body	80	valid

simplify66.0ms

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: 41.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
7.9b	(- (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:

10.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (exp (neg im)) (exp im))

series21.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

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

prune77.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Merged error: 0.1b

Counts

47 → 5

localize14.0ms

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))

rewrite31.0ms

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:

7.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
11.0ms	(* (* 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)))
5.0ms	(* 1/60 (pow im 5))
37.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(* -1/3 (pow im 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (12.0ms)

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

prune212.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	100	11	111

Merged error: 0.1b

Counts

111 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
27×	`add-sqr-sqrt`
25×	`prod-exp`
23×	`associate-r`
22×	`add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `cbrt-unprod`
10×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
4×	`pow-to-exp` `cube-prod` `pow-prod-down` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`associate-*l/`
1×	`cube-mult` `flip3-+` `unpow3` `flip-+`

Counts

4 → 100

Calls

4 calls:

5.0ms	(* -1/60 (pow im 5))
8.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
6.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
6.0ms	(* -1/3 (pow im 3))

series39.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* -1/60 (pow im 5))
19.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
11.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
4.0ms	(* -1/3 (pow im 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	456	591
1	2130	506
2	5002	506

prune217.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	110	13	123

Merged error: 0.1b

Counts

123 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))))
15.8b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
15.8b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
15.8b	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
5.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))) (cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))))
35.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
38.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))
35.0ms	(cbrt (* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re)))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	351	1276
1	1284	1169
2	5001	1101

prune345.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	83	14	97

Merged error: 0.1b

Counts

97 → 14

regimes752.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample5.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.304688%

Guaranteed chance to sample good point: 71.158129%

Results

1.9s	3306×	body	1280	valid
818.0ms	2508×	body	640	valid
527.0ms	1449×	body	1280	invalid
309.0ms	1247×	body	640	invalid
261.0ms	1255×	body	320	valid
150.0ms	2211×	body	80	invalid
107.0ms	609×	body	320	invalid
91.0ms	682×	body	160	valid
42.0ms	315×	body	160	invalid
17.0ms	249×	body	80	valid

Details

sample1.3s

simplify66.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series21.0ms

simplify34.0ms

prune77.0ms

localize14.0ms

rewrite31.0ms

series51.0ms

simplify63.0ms

prune212.0ms

localize16.0ms

rewrite28.0ms

series39.0ms

simplify67.0ms

prune217.0ms

localize24.0ms

rewrite25.0ms

series158.0ms

simplify51.0ms

prune345.0ms

regimes752.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.9s

Profiling