Details

sample97.0ms

Algorithm

intervals

Results

42.0ms	98×	body	1280	valid
19.0ms	73×	body	640	valid
13.0ms	254×	body	80	valid
6.0ms	38×	body	320	valid
2.0ms	18×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
0.0b	(+ (exp (- im)) (exp im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

9.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
5.0ms	(+ (exp (- im)) (exp im))

series81.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
26.0ms	(+ (exp (- im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	249	347
1	1229	286
2	5001	284

prune84.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.1b	(* 1/12 (pow im 4))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
12×	`add-sqr-sqrt`
10×	`associate-r` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`pow-prod-down` `sum-log` `unswap-sqr`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `associate-+r+` `distribute-lft-in` `pow-exp`

Counts

3 → 60

Calls

3 calls:

12.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
8.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
5.0ms	(* 1/12 (pow im 4))

series190.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (* 0.5 (cos re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
35.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
38.0ms	(* 1/12 (pow im 4))

simplify58.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	356	504
1	1865	439
2	5003	436

prune126.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Merged error: 0b

Counts

72 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp im) -2)
0.3b	(/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))
5.7b	(+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))
5.8b	(- (exp (- im)) (exp im))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `times-frac` `associate-/r*`
4×	`pow-pow`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `associate-*l/` `associate-/r/` `distribute-rgt-neg-out` `flip--` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unsub-neg` `pow-exp` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `distribute-lft-out` `associate-/l*` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

3.0ms	(pow (exp im) -2)
13.0ms	(/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))
5.0ms	(+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))
6.0ms	(- (exp (- im)) (exp im))

series309.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp im) -2)
148.0ms	(/ (* (+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im))))) (cos re)) (- (exp (- im)) (exp im)))
105.0ms	(+ (* 0.5 (pow (exp im) -2)) (* 0.5 (- (exp (+ im im)))))
34.0ms	(- (exp (- im)) (exp im))

simplify67.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	459	968
1	2097	795
2	5002	784

prune271.0ms

Filtered

89 candidates to 67 candidates (75.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0b

Counts

92 → 3

regimes119.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	2952×	body	1280	valid
597.0ms	2506×	body	640	valid
448.0ms	8751×	body	80	valid
205.0ms	1225×	body	320	valid
75.0ms	653×	body	160	valid