Details

Time bar (total: 7.9s)

sample114.0ms

Algorithm
intervals
Results
49.0ms104×body1280valid
22.0ms70×body640valid
18.0ms254×body80valid
7.0ms36×body320valid
4.0ms28×body160valid

simplify68.0ms

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

localize14.0ms

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)))

rewrite74.0ms

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))
51.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series96.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (exp (- 0.0 im)) (exp im))
67.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0268349
11226295
25002294

prune113.0ms

Pruning

3 alts after pruning (2 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))) (* (* 0.5 (sin re)) (exp im)))
0.0b
(* (* 0.5 (sin re)) (exp im))
0.0b
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

rewrite61.0ms

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 (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))
27.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
38.0ms
(* (* 0.5 (sin re)) (exp im))
48.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify59.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0328481
11554400
25001395

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
0.7b
(cbrt (* (* 0.5 (sin re)) (exp im)))
0.7b
(cbrt (* (* 0.5 (sin re)) (exp im)))
0.7b
(cbrt (* (* 0.5 (sin re)) (exp im)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
10.0ms
(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
7.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))
9.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))
11.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))

series458.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(* (cbrt (* (* 0.5 (sin re)) (exp im))) (cbrt (* (* 0.5 (sin re)) (exp im))))
103.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))
103.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))
101.0ms
(cbrt (* (* 0.5 (sin re)) (exp im)))

simplify112.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0194622
1733538
23384486
35002479

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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)))))))
0.3b
(pow (* 0.5 (sin re)) 3)
3.5b
(- (exp im) (exp (- 0.0 im)))
23.3b
(/ (* (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))))))))

rewrite823.0ms

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:
568.0ms
(* (* 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)))))))
3.0ms
(pow (* 0.5 (sin re)) 3)
9.0ms
(- (exp im) (exp (- 0.0 im)))
239.0ms
(/ (* (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))))))))

series790.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (* 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)))))))
70.0ms
(pow (* 0.5 (sin re)) 3)
38.0ms
(- (exp im) (exp (- 0.0 im)))
455.0ms
(/ (* (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))))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09302856
150012395

prune478.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes142.0ms

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

sample3.7s

Algorithm
intervals
Results
1.6s2960×body1280valid
779.0ms2449×body640valid
630.0ms8485×body80valid
270.0ms1222×body320valid
95.0ms633×body160valid