Details

Time bar (total: 5.2s)

sample89.0ms

Algorithm
intervals
Results
36.0ms102×body1280valid
18.0ms89×body640valid
11.0ms267×body80valid
4.0ms29×body320valid
2.0ms17×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1587
2957
32097
44597
56297
614157
721487
850027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite82.0ms

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:
63.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
18.0ms
(+ (exp (- im)) (exp im))

series79.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
21.0ms
(+ (exp (- im)) (exp im))

simplify38.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0249347
11229286
25001284

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
9×add-exp-log
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/r*
2×cbrt-undiv div-exp div-inv
1×+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
3 → 51
Calls
3 calls:
27.0ms
(* (* 0.5 (cos re)) (exp im))
27.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
14.0ms
(/ (* 0.5 (cos re)) (exp im))

series146.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (* 0.5 (cos re)) (exp im))
78.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
35.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0284450
11619391
25001384

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
21×add-exp-log
12×associate-/r*
11×associate-/l*
9×pow1 div-inv
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+ associate-/l/
Counts
4 → 149
Calls
4 calls:
27.0ms
(* (* 0.5 (cos re)) (exp im))
70.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))
23.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
18.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* 0.5 (cos re)) (exp im))
74.0ms
(+ (/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im))) (* (* 0.5 (cos re)) (exp im)))
40.0ms
(/ (/ (* 0.5 (cos re)) (sqrt (exp im))) (sqrt (exp im)))
49.0ms
(/ (* 0.5 (cos re)) (sqrt (exp im)))

simplify80.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05771880
128351596
250021589

prune337.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 0.5 (cos re)) (exp im))
0.0b
(+ im (log (* 0.5 (cos re))))
0.1b
(log (* 0.5 (cos re)))
0.2b
(exp (+ im (log (* 0.5 (cos re)))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
13×pow1
10×add-exp-log
9×add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt add-log-exp
6×exp-prod log-pow distribute-lft-out
3×times-frac pow-prod-down associate-/r*
2×cbrt-undiv log-prod div-exp rem-log-exp prod-exp sum-log rem-exp-log
1×+-commutative associate-+r+ frac-2neg flip3-+ exp-sum clear-num cbrt-unprod flip-+ div-inv associate-/l*
Counts
4 → 64
Calls
4 calls:
14.0ms
(/ (* 0.5 (cos re)) (exp im))
20.0ms
(+ im (log (* 0.5 (cos re))))
7.0ms
(log (* 0.5 (cos re)))
47.0ms
(exp (+ im (log (* 0.5 (cos re)))))

series210.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (* 0.5 (cos re)) (exp im))
50.0ms
(+ im (log (* 0.5 (cos re))))
94.0ms
(log (* 0.5 (cos re)))
31.0ms
(exp (+ im (log (* 0.5 (cos re)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0268404
11154357
25002357

prune177.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

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)

IterNodesCost
0137
1137

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s2905×body1280valid
528.0ms2473×body640valid
369.0ms8604×body80valid
364.0ms1236×body320valid
61.0ms622×body160valid