Details

sample88.0ms

Algorithm

intervals

Results

34.0ms	84×	body	1280	valid
18.0ms	76×	body	640	valid
14.0ms	237×	body	80	valid
8.0ms	50×	body	320	valid
2.0ms	20×	body	160	valid

simplify69.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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)))

rewrite76.0ms

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:

20.0ms	(+ (exp (- 0.0 im)) (exp im))
55.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
68.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (33.0ms)

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

prune98.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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:

18.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
55.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
5.0ms	(* 1/12 (pow im 4))

series195.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
119.0ms	(* (* 0.5 (sin re)) (+ (* 1/12 (pow im 4)) (+ (pow im 2) 2)))
37.0ms	(* 1/12 (pow im 4))

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	365	506
1	1891	441
2	5001	438

prune162.0ms

Filtered

69 candidates to 44 candidates (63.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
23×	`add-sqr-sqrt`
20×	`prod-exp`
18×	`add-cbrt-cube`
17×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
8×	`pow1` `unpow-prod-down` `cbrt-unprod`
7×	`unswap-sqr`
4×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
2×	`pow-prod-down` `unpow2`

Counts

4 → 90

Calls

4 calls:

9.0ms	(* 0.5 (* (sin re) (pow im 2)))
8.0ms	(* 0.041666666666666664 (* (sin re) (pow im 4)))
6.0ms	(* (sin re) (pow im 4))
6.0ms	(* (sin re) (pow im 2))

series439.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 0.5 (* (sin re) (pow im 2)))
246.0ms	(* 0.041666666666666664 (* (sin re) (pow im 4)))
87.0ms	(* (sin re) (pow im 4))
46.0ms	(* (sin re) (pow im 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	358	547
1	1493	455
2	5001	455

prune240.0ms

Filtered

102 candidates to 61 candidates (59.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
0.2b	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
4.9b	(- (exp (- 0.0 im)) (exp im))
5.1b	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

rewrite895.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`pow1`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/` `distribute-lft-out`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `distribute-rgt-neg-in` `sum-log` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `neg-sub0` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r` `unsub-neg` `neg-log` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 84

Calls

4 calls:

506.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
209.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
25.0ms	(- (exp (- 0.0 im)) (exp im))
152.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re)))
130.0ms	(/ (* (+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im)))) (* 0.5 (sin re))) (- (exp (- 0.0 im)) (exp im)))
35.0ms	(- (exp (- 0.0 im)) (exp im))
49.0ms	(+ (exp (+ (- 0.0 im) (- 0.0 im))) (- (exp (+ im im))))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	500	1373
1	2288	1100
2	5003	1084

prune292.0ms

Filtered

96 candidates to 70 candidates (72.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

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	14	7
1	14	7

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	2906×	body	1280	valid
569.0ms	2481×	body	640	valid
400.0ms	8413×	body	80	valid
176.0ms	1199×	body	320	valid
66.0ms	604×	body	160	valid