Details

sample135.0ms

Algorithm

intervals

Results

67.0ms	152×	body	1280	valid
33.0ms	120×	body	640	valid
10.0ms	61×	body	320	valid
7.0ms	142×	body	80	valid
4.0ms	36×	body	160	valid

simplify68.0ms

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	1079	7
7	2595	7
8	5002	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 40.8b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.4b	(- (exp (- im)) (exp im))

rewrite17.0ms

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 (- im)) (exp im)))
6.0ms	(- (exp (- im)) (exp im))

series113.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
34.0ms	(- (exp (- 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	330
2	5001	329

prune115.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0.1b

Counts

47 → 2

localize15.0ms

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))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-r`
26×	`add-sqr-sqrt`
19×	`add-exp-log`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
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×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `sum-log` `*-commutative`
2×	`pow-to-exp` `distribute-neg-in` `flip3-+` `associate-*r/` `pow-exp` `flip-+` `distribute-neg-frac`
1×	`+-commutative` `distribute-rgt-in` `cube-mult` `neg-mul-1` `associate-+r+` `distribute-lft-in` `unpow3` `distribute-rgt-neg-out`

Counts

4 → 99

Calls

4 calls:

8.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms	(* 1/60 (pow im 5))
15.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms	(* 1/3 (pow im 3))

series341.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
50.0ms	(* 1/60 (pow im 5))
176.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
35.0ms	(* 1/3 (pow im 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	526	823
1	2684	730
2	5003	727

prune312.0ms

Filtered

111 candidates to 71 candidates (64.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	102	11	113

Merged error: 0.0b

Counts

113 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-exp-log`
32×	`associate-r`
31×	`prod-exp`
25×	`add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`cbrt-unprod`
11×	`pow1`
7×	`unpow-prod-down`
6×	`associate-l`
5×	`pow-to-exp` `pow-exp`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `cube-prod` `unswap-sqr` `sqr-pow`
2×	`distribute-neg-in` `associate-*r/` `distribute-neg-frac`
1×	`distribute-rgt-in` `cube-mult` `neg-mul-1` `distribute-lft-in` `flip3-+` `unpow3` `distribute-rgt-neg-out` `flip-+`

Counts

4 → 107

Calls

4 calls:

5.0ms	(* 1/60 (pow im 5))
7.0ms	(* (* 0.5 (sin re)) (pow im 3))
8.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
9.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* 1/60 (pow im 5))
93.0ms	(* (* 0.5 (sin re)) (pow im 3))
92.0ms	(* (* (* 0.5 (sin re)) (pow im 3)) -1/3)
282.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify90.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	592	779
1	3136	665
2	5002	662

prune308.0ms

Filtered

119 candidates to 70 candidates (58.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	119	11	130

Merged error: 0.0b

Counts

130 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.7b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.7b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.7b	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite26.0ms

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:

12.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.6s

Counts

4 → 12

Calls

4 calls:

821.0ms	(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
586.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
599.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
591.0ms	(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	382	1476
1	1336	1397
2	5002	1312

prune473.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	98	12	110

Merged error: 0.0b

Counts

110 → 12

regimes254.0ms

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	33	14
1	50	14
2	57	14
3	57	14

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.1s	4697×	body	1280	valid
938.0ms	3758×	body	640	valid
322.0ms	1923×	body	320	valid
216.0ms	4366×	body	80	valid
108.0ms	989×	body	160	valid