Details

Time bar (total: 5.0s)

sample97.0ms

Algorithm
intervals
Results
43.0ms102×body1280valid
19.0ms68×body640valid
14.0ms282×body80valid
5.0ms31×body320valid
2.0ms16×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

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)))

series91.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- 0.0 im)) (exp im))
69.0ms
(* (* 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

prune96.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 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 (- 0.0 im)))
0.0b
(* (* 0.5 (sin re)) (exp im))

rewrite63.0ms

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

series169.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
45.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms
(* (* 0.5 (sin re)) (exp im))

simplify53.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0328481
11554400
25002395

prune138.0ms

Filtered
60 candidates to 41 candidates (68.3%)
Pruning

2 alts after pruning (2 fresh and 0 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 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
0.0b
(* (* 0.5 (sin re)) (exp im))

rewrite35.0ms

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

series260.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
132.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
39.0ms
(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0385578
12136482
25001479

prune145.0ms

Filtered
61 candidates to 44 candidates (72.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (- 0.0 im)) 3)
0.0b
(* (exp im) (exp im))
0.0b
(pow (exp im) 3)
5.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt exp-prod
24×*-un-lft-identity
22×add-cube-cbrt
13×pow1
10×pow-pow
8×unpow-prod-down cube-prod add-cbrt-cube
6×pow-unpow add-log-exp
4×add-exp-log exp-sum pow-prod-down pow-sqr pow-prod-up
3×sub-neg swap-sqr associate-*r* associate-*l*
2×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
1×cube-div pow2 flip3-- distribute-rgt-out-- pow-plus exp-diff diff-log prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 106
Calls
4 calls:
10.0ms
(pow (exp (- 0.0 im)) 3)
7.0ms
(* (exp im) (exp im))
2.0ms
(pow (exp im) 3)
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series110.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (exp (- 0.0 im)) 3)
13.0ms
(* (exp im) (exp im))
23.0ms
(pow (exp im) 3)
48.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
0375485
12149423
25002408

prune337.0ms

Filtered
118 candidates to 70 candidates (59.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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
01611
11611

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s3092×body1280valid
590.0ms2390×body640valid
433.0ms8523×body80valid
198.0ms1242×body320valid
62.0ms574×body160valid