Details

Time bar (total: 6.6s)

sample100.0ms

Algorithm
intervals
Results
44.0ms103×body1280valid
19.0ms81×body640valid
13.0ms262×body80valid
6.0ms40×body320valid
2.0ms16×body160valid

simplify70.0ms

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

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)))

rewrite147.0ms

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:
38.0ms
(+ (exp (- 0.0 im)) (exp im))
108.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series84.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (exp (- 0.0 im)) (exp im))
63.0ms
(* (* 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

prune147.0ms

Pruning

4 alts after pruning (4 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))

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:
56.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
59.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
26.0ms
(* (* 0.5 (sin re)) (exp im))

series157.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
43.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
35.0ms
(* (* 0.5 (sin re)) (exp im))

simplify57.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0328481
11554400
25002395

prune230.0ms

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 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))

rewrite88.0ms

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:
34.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
28.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
24.0ms
(* (* 0.5 (sin re)) (exp im))

series239.0ms

Counts
3 → 9
Calls
3 calls:
122.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
81.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
36.0ms
(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0385578
12136482
25001479

prune265.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (- 0.0 im)) 3)
0.1b
(pow (exp im) 3)
0.5b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.2b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite353.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
15×add-cbrt-cube
14×add-cube-cbrt
13×add-exp-log
10×pow-pow
9×exp-diff
8×unpow-prod-down exp-prod cube-prod associate-/r/
6×pow1 pow-unpow frac-add add-log-exp
4×flip3-- associate-*r/ exp-sum flip--
3×cbrt-undiv sub-neg times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×cube-mult frac-times pow-to-exp flip3-+ unpow3 associate-*l/ pow-exp flip-+ associate-/l/ rem-cube-cbrt sqr-pow
1×cube-div distribute-rgt-out-- frac-2neg diff-log clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
19.0ms
(pow (exp (- 0.0 im)) 3)
4.0ms
(pow (exp im) 3)
311.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
15.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series297.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (exp (- 0.0 im)) 3)
20.0ms
(pow (exp im) 3)
205.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
44.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify154.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
07341631
142531357
250021335

prune952.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes104.0ms

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
1.3s3059×body1280valid
612.0ms2516×body640valid
443.0ms8426×body80valid
201.0ms1213×body320valid
63.0ms577×body160valid