Details

sample85.0ms

Algorithm

intervals

Results

32.0ms	81×	body	1280	valid
18.0ms	76×	body	640	valid
12.0ms	250×	body	80	valid
6.0ms	33×	body	320	valid
2.0ms	20×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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:

21.0ms	(+ (exp (- 0.0 im)) (exp im))
60.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (* -1 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

rewrite24.0ms

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:

4.0ms	(+ (exp (* -1 im)) (exp im))
19.0ms	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

series107.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (* -1 im)) (exp im))
83.0ms	(* (* 0.5 (sin re)) (+ (exp (* -1 im)) (exp im)))

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	245	349
1	1155	293
2	5001	288

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

56.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
9.0ms	(* 1/12 (pow im 4))

series163.0ms

Counts

2 → 6

Calls

2 calls:

123.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
39.0ms	(* 1/12 (pow im 4))

simplify55.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	329	379
1	1734	327
2	5002	324

prune158.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (* (sin re) (pow im 2))) (+ (* 0.041666666666666664 (* (sin re) (pow im 4))) (* 1.0 (sin re))))
0.1b	(* 0.041666666666666664 (* (sin re) (pow im 4)))
0.1b	(* (sin re) (pow im 4))
0.1b	(* (sin re) (pow im 2))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log`
22×	`add-sqr-sqrt`
16×	`associate-r`
13×	`prod-exp` `add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l` `add-log-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-unprod`
4×	`sqr-pow`
3×	`pow-to-exp` `pow-exp` `sum-log` `*-commutative`
2×	`unpow2`
1×	`+-commutative` `associate-+r+` `flip3-+` `pow-prod-down` `flip-+`

Counts

4 → 84

Calls

4 calls:

25.0ms	(+ (* 0.5 (* (sin re) (pow im 2))) (+ (* 0.041666666666666664 (* (sin re) (pow im 4))) (* 1.0 (sin re))))
9.0ms	(* 0.041666666666666664 (* (sin re) (pow im 4)))
6.0ms	(* (sin re) (pow im 4))
7.0ms	(* (sin re) (pow im 2))

series383.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (* 0.5 (* (sin re) (pow im 2))) (+ (* 0.041666666666666664 (* (sin re) (pow im 4))) (* 1.0 (sin re))))
107.0ms	(* 0.041666666666666664 (* (sin re) (pow im 4)))
87.0ms	(* (sin re) (pow im 4))
45.0ms	(* (sin re) (pow im 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	411	693
1	1750	602
2	5001	596

prune251.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes61.0ms

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	16	7
1	16	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3015×	body	1280	valid
578.0ms	2402×	body	640	valid
439.0ms	8544×	body	80	valid
198.0ms	1255×	body	320	valid
66.0ms	625×	body	160	valid