Details

sample1.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results

60.0ms	109×	body	1280	valid
26.0ms	85×	body	640	valid
14.0ms	41×	body	1280	invalid
8.0ms	72×	body	80	invalid
7.0ms	28×	body	640	invalid
6.0ms	32×	body	320	valid
3.0ms	19×	body	320	invalid
3.0ms	21×	body	160	valid
2.0ms	15×	body	160	invalid
1.0ms	9×	body	80	valid

simplify70.0ms

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: 42.7b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

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

prune66.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Merged error: 0.1b

Counts

47 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 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))

rewrite27.0ms

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`
8×	`unpow-prod-down`
7×	`associate-l` `unswap-sqr`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`+-commutative` `cube-mult` `flip3--` `flip3-+` `unpow3` `sum-log` `flip--` `flip-+`

Counts

4 → 91

Calls

4 calls:

4.0ms	(+ (* 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))

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* 1/60 (pow im 5)) (* 2 im))
7.0ms	(* 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))

simplify68.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	464	658
1	2134	579
2	5001	579

prune196.0ms

Filtered

64 candidates to 103 candidates (-60.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	96	10	106

Merged error: 0.1b

Counts

106 → 10

localize20.0ms

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))

rewrite27.0ms

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))
7.0ms	(* (* 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:

4.0ms	(* -1/60 (pow im 5))
17.0ms	(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
14.0ms	(* (+ (* -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 (13.0ms)

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

prune205.0ms

Filtered

67 candidates to 112 candidates (-67.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	107	5	112
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	110	12	122

Merged error: 0.0b

Counts

122 → 12

localize21.0ms

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))

rewrite13.0ms

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))
2.0ms	(cbrt (sin re))

series80.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (sin re)) (cbrt (sin re)))
18.0ms	(cbrt (sin re))
19.0ms	(cbrt (sin re))
20.0ms	(cbrt (sin re))

simplify117.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (110.0ms)

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

prune140.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	4	5	9
Picked	1	0	1
Done	0	2	2
Total	87	10	97

Merged error: 0.0b

Counts

97 → 10

regimes577.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms

sample5.8s

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	3283×	body	1280	valid
806.0ms	2542×	body	640	valid
500.0ms	1432×	body	1280	invalid
298.0ms	1247×	body	640	invalid
263.0ms	1265×	body	320	valid
141.0ms	2274×	body	80	invalid
108.0ms	625×	body	320	invalid
85.0ms	663×	body	160	valid
36.0ms	303×	body	160	invalid
16.0ms	247×	body	80	valid

Details

sample1.5s

simplify70.0ms

prune3.0ms

localize10.0ms

rewrite16.0ms

series20.0ms

simplify35.0ms

prune66.0ms

localize14.0ms

rewrite27.0ms

series58.0ms

simplify68.0ms

prune196.0ms

localize20.0ms

rewrite27.0ms

series39.0ms

simplify67.0ms

prune205.0ms

localize21.0ms

rewrite13.0ms

series80.0ms

simplify117.0ms

prune140.0ms

regimes577.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.8s

Profiling