Details

sample4.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

57.0ms	103×	body	1280	valid
23.0ms	77×	body	640	valid
19.0ms	57×	body	1280	invalid
13.0ms	50×	body	320	valid
9.0ms	38×	body	640	invalid
4.0ms	71×	body	80	invalid
4.0ms	21×	body	320	invalid
2.0ms	19×	body	160	valid
1.0ms	9×	body	160	invalid
0.0ms	7×	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: 42.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.5b	(- (exp (neg im)) (exp im))

rewrite20.0ms

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:

14.0ms	(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms	(- (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 (28.0ms)

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

prune75.0ms

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

localize16.0ms

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))

rewrite35.0ms

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)))
6.0ms	(* 1/60 (pow im 5))
12.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
8.0ms	(* -1/3 (pow im 3))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(* 1/60 (pow im 5))
35.0ms	(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(* -1/3 (pow im 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (14.0ms)

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

prune216.0ms

Filtered

65 candidates to 106 candidates (-63.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	97	9	106
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	98	11	109

Merged error: 0.0b

Counts

109 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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:

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
4.0ms	(* -1/60 (pow im 5))
10.0ms	(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
4.0ms	(* -1/3 (pow im 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

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

prune214.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	111	12	123

Merged error: 0.0b

Counts

123 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin re)) (cbrt (sin re)))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))
0.6b	(cbrt (sin re))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))
1.0ms	(cbrt (sin re))

series77.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
17.0ms	(cbrt (sin re))
18.0ms	(cbrt (sin re))
20.0ms	(cbrt (sin re))

simplify125.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	410
3	5002	404

prune182.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	5	5	10
Picked	1	0	1
Done	0	1	1
Total	88	9	97

Merged error: 0.0b

Counts

97 → 9

regimes354.0ms

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	29	13
1	29	13

end0.0ms

sample8.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

1.9s	3241×	body	1280	valid
809.0ms	2522×	body	640	valid
511.0ms	1461×	body	1280	invalid
292.0ms	1236×	body	640	invalid
268.0ms	1337×	body	320	valid
150.0ms	2268×	body	80	invalid
101.0ms	577×	body	320	invalid
86.0ms	644×	body	160	valid
43.0ms	297×	body	160	invalid
23.0ms	256×	body	80	valid

Details

sample4.0s

simplify66.0ms

prune3.0ms

localize10.0ms

rewrite20.0ms

series20.0ms

simplify33.0ms

prune75.0ms

localize16.0ms

rewrite35.0ms

series49.0ms

simplify71.0ms

prune216.0ms

localize16.0ms

rewrite29.0ms

series35.0ms

simplify66.0ms

prune214.0ms

localize20.0ms

rewrite12.0ms

series77.0ms

simplify125.0ms

prune182.0ms

regimes354.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.3s

Profiling