Details

Time bar (total: 7.5s)

sample90.0ms

Algorithm
intervals
Results
38.0ms97×body1280valid
16.0ms70×body640valid
13.0ms277×body80valid
4.0ms27×body320valid
2.0ms18×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
716627
842177
950027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite156.0ms

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:
41.0ms
(+ (exp (- 0.0 im)) (exp im))
114.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp (- 0.0 im)) (exp im))
72.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0268349
11226295
25002294

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

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:
24.0ms
(* (* 0.5 (sin re)) (exp im))
57.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
60.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series175.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (* 0.5 (sin re)) (exp im))
91.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify53.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0328481
11554400
25001395

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

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:
28.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
24.0ms
(* (* 0.5 (sin re)) (exp im))
37.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))

series260.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
38.0ms
(* (* 0.5 (sin re)) (exp im))
133.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))

simplify66.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0385578
12136482
25001479

prune151.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im)))))))
0.4b
(pow (* 0.5 (sin re)) 3)
5.0b
(- (exp im) (exp (- 0.0 im)))
21.5b
(/ (* (pow (* 0.5 (sin re)) 3) (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3))) (* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im))))))))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
69×add-exp-log
34×prod-exp
33×add-cbrt-cube
30×associate-*r/
15×div-exp
13×cbrt-unprod
12×pow1
8×add-sqr-sqrt *-un-lft-identity exp-diff associate-*l/ frac-add pow-exp
6×cbrt-undiv add-cube-cbrt associate-/r/ add-log-exp
5×flip3-- flip--
4×pow-to-exp associate-+l- associate-+r- pow-prod-down
3×pow-unpow flip3-+ associate-*r* flip-+
2×pow-pow associate-/l/ rem-cube-cbrt
1×distribute-rgt-in cube-mult sub-neg unpow-prod-down frac-2neg distribute-lft-in times-frac diff-log unpow3 cube-prod associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares sqr-pow
Counts
4 → 104
Calls
4 calls:
1.1s
(* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im)))))))
7.0ms
(pow (* 0.5 (sin re)) 3)
20.0ms
(- (exp im) (exp (- 0.0 im)))
473.0ms
(/ (* (pow (* 0.5 (sin re)) 3) (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3))) (* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im))))))))

series762.0ms

Counts
4 → 12
Calls
4 calls:
216.0ms
(* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im)))))))
60.0ms
(pow (* 0.5 (sin re)) 3)
36.0ms
(- (exp im) (exp (- 0.0 im)))
450.0ms
(/ (* (pow (* 0.5 (sin re)) 3) (+ (pow (exp im) 3) (pow (exp (- 0.0 im)) 3))) (* (* 0.5 (sin re)) (+ (* (exp (+ (- 0.0 im) (- 0.0 im))) (* 0.5 (sin re))) (* (exp im) (* (* 0.5 (sin re)) (- (exp im) (exp (- 0.0 im))))))))

simplify46.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09302858
150012395

prune457.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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
0147
1147

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s2920×body1280valid
568.0ms2480×body640valid
420.0ms8656×body80valid
185.0ms1211×body320valid
72.0ms626×body160valid