Details

sample146.0ms

Algorithm

intervals

Results

78.0ms	154×	body	1280	valid
34.0ms	120×	body	640	valid
9.0ms	47×	body	320	valid
8.0ms	134×	body	80	valid
3.0ms	26×	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

prune2.0ms

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: 46.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.8b	(- (exp (- 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 (- im)) (exp im)))
5.0ms	(- (exp (- im)) (exp im))

series117.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
38.0ms	(- (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

prune114.0ms

Filtered

46 candidates to 32 candidates (69.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

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

rewrite34.0ms

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

series312.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
46.0ms	(* 1/60 (pow im 5))
37.0ms	(* 1/3 (pow im 3))
173.0ms	(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify80.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (69.0ms)

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

prune301.0ms

Filtered

111 candidates to 71 candidates (64.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	8	111
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin re) (pow im 5))
0.1b	(* 0.16666666666666666 (* (sin re) (pow im 3)))
0.1b	(* (sin re) (pow im 3))
0.1b	(* (sin re) im)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
26×	`add-exp-log`
23×	`associate-r`
15×	`add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
12×	`associate-l`
8×	`pow1` `unpow-prod-down` `unswap-sqr`
6×	`cbrt-unprod`
4×	`cube-prod` `*-commutative` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-exp`
2×	`pow-prod-down`
1×	`cube-mult` `unpow3`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* (sin re) (pow im 5))
6.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
7.0ms	(* (sin re) (pow im 3))
4.0ms	(* (sin re) im)

series321.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (sin re) (pow im 5))
89.0ms	(* 0.16666666666666666 (* (sin re) (pow im 3)))
80.0ms	(* (sin re) (pow im 3))
33.0ms	(* (sin re) im)

simplify47.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	335	504
1	1442	434
2	5002	434

prune259.0ms

Filtered

105 candidates to 66 candidates (62.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	106	10	116

Merged error: 0.0b

Counts

116 → 10

localize20.0ms

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))))

rewrite41.0ms

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))))
10.0ms	(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))))

series832.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (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)))))
337.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
165.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
154.0ms	(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	393	2049
1	1443	1928
2	5001	1792

prune378.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

regimes276.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	14
1	41	14
2	59	14
3	69	14
4	69	14

end0.0ms

sample4.5s

Algorithm

intervals

Results

2.3s	4805×	body	1280	valid
1.0s	3797×	body	640	valid
350.0ms	1870×	body	320	valid
268.0ms	4678×	body	80	valid
109.0ms	933×	body	160	valid