Details

Time bar (total: 4.8s)

sample106.0ms

Algorithm
intervals
Results
41.0ms97×body1280valid
24.0ms81×body640valid
15.0ms270×body80valid
5.0ms30×body320valid
2.0ms21×body160valid

simplify116.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
715997
835857
947127
1050017

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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)))

rewrite18.0ms

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:
6.0ms
(+ (exp (- 0.0 im)) (exp im))
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (exp (- 0.0 im)) (exp im))
14.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0265349
11200295
25001294

prune61.0ms

Filtered
28 candidates to 41 candidates (-46.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New38341
Fresh000
Picked101
Done000
Total39342

Merged error: 0.0b

Counts
42 → 3

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)))

rewrite28.0ms

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:
10.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
6.0ms
(* (* 0.5 (sin re)) (exp im))
11.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

series36.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
8.0ms
(* (* 0.5 (sin re)) (exp im))
9.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0327481
11562398
25001393

prune87.0ms

Filtered
40 candidates to 60 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New57360
Fresh112
Picked101
Done000
Total59463

Merged error: 0b

Counts
63 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
7.0ms
(+ (/ (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
6.0ms
(* (* 0.5 (sin re)) (exp im))
6.0ms
(/ (* 0.5 (sin re)) (exp im))

series38.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
8.0ms
(* (* 0.5 (sin re)) (exp im))
10.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify52.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0300456
11659397
25002390

prune71.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh123
Picked011
Done000
Total60464

Merged error: 0b

Counts
64 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (exp (- 0.0 im)))
0.0b
(* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))))
0.0b
(* (* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))) (cbrt (exp (- 0.0 im))))
0.1b
(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
41×pow1
38×cbrt-prod
36×add-exp-log
23×add-sqr-sqrt pow-prod-down
22×prod-exp cbrt-unprod
21×cbrt-div exp-diff add-cbrt-cube
17×associate-*r*
16×exp-sum
15×add-cube-cbrt *-un-lft-identity
14×associate-*r/
10×swap-sqr associate-*l*
8×sub-neg
7×frac-times pow1/3 associate-*l/
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 129
Calls
4 calls:
4.0ms
(cbrt (exp (- 0.0 im)))
14.0ms
(* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))))
19.0ms
(* (* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))) (cbrt (exp (- 0.0 im))))
11.0ms
(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (exp (- 0.0 im)))
24.0ms
(* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im)))))
9.0ms
(* (* (* 0.5 (sin re)) (* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))) (cbrt (exp (- 0.0 im))))
20.0ms
(* (cbrt (exp (- 0.0 im))) (cbrt (exp (- 0.0 im))))

simplify68.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04371538
119171249
250021124

prune240.0ms

Filtered
81 candidates to 141 candidates (-74.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh022
Picked011
Done011
Total1414145

Merged error: 0b

Counts
145 → 4

regimes295.0ms

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
0129
1129

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.4s3047×body1280valid
668.0ms2440×body640valid
507.0ms8518×body80valid
228.0ms1225×body320valid
79.0ms627×body160valid

Profiling

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