Details

sample91.0ms

Algorithm

intervals

Results

35.0ms	95×	body	1280	valid
18.0ms	83×	body	640	valid
17.0ms	305×	body	80	valid
4.0ms	29×	body	320	valid
2.0ms	18×	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

prune2.0ms

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)))

rewrite75.0ms

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:

22.0ms	(+ (exp (- 0.0 im)) (exp im))
52.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (exp (- 0.0 im)) (exp im))
65.0ms	(* (* 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

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

29.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
24.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series179.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
92.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
39.0ms	(* (* 0.5 (sin re)) (exp im))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	328	481
1	1554	400
2	5002	395

prune165.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l`

Counts

3 → 52

Calls

3 calls:

14.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
10.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series270.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
91.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
37.0ms	(* (* 0.5 (sin re)) (exp im))

simplify64.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	385	578
1	2136	482
2	5001	479

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (sqrt (exp im)))
0.0b	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
0.0b	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
0.0b	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-cbrt-cube`
22×	`add-exp-log`
18×	`pow1`
12×	`associate-r` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down`
6×	`sqrt-prod` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`associate-l` `*-commutative`
1×	`+-commutative` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 79

Calls

4 calls:

11.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
15.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
10.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
40.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

series325.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* 0.5 (sin re)) (sqrt (exp im)))
139.0ms	(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
93.0ms	(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
41.0ms	(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

simplify82.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	486	910
1	2760	720
2	5001	708

prune220.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

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	11
1	16	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	3025×	body	1280	valid
569.0ms	2476×	body	640	valid
422.0ms	8607×	body	80	valid
187.0ms	1237×	body	320	valid
63.0ms	623×	body	160	valid