Details

Time bar (total: 5.8s)

sample110.0ms

Algorithm
intervals
Results
47.0ms106×body1280valid
20.0ms72×body640valid
18.0ms302×body80valid
7.0ms39×body320valid
2.0ms16×body160valid

simplify106.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

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)))

rewrite19.0ms

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:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
12.0ms
(* (* 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))
68.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0265349
11200295
25001294

prune83.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New37441
Fresh000
Picked101
Done000
Total38442

Merged error: 0.0b

Counts
42 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
13.0ms
(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (exp (- 0.0 im)) (exp im))
49.0ms
(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify104.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0211313
1807277
23867276
35002276

prune92.0ms

Filtered
41 candidates to 30 candidates (73.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New41041
Fresh033
Picked011
Done000
Total41445

Merged error: 0.0b

Counts
45 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.0b
(+ (exp (- 0.0 im)) (exp im))
0.4b
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.4b
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
16×*-un-lft-identity
14×sqrt-div associate-*r*
10×associate-*r/
9×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
8×add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
4×frac-times distribute-lft-out
2×+-commutative associate-*l* associate-*l/ sum-log *-commutative
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
9.0ms
(+ (exp (- 0.0 im)) (exp im))
13.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
23.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ (exp (- 0.0 im)) (exp im))
24.0ms
(+ (exp (- 0.0 im)) (exp im))
88.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
65.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04071087
11824905
25001894

prune197.0ms

Filtered
93 candidates to 59 candidates (63.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done011
Total92597

Merged error: 0b

Counts
97 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div sqrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))))
12.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
11.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
11.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))

series682.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))) (cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))))
168.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
167.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))
167.0ms
(cbrt (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03301459
111181296
250021217

prune289.0ms

Filtered
84 candidates to 63 candidates (75.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5

regimes213.0ms

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

sample3.2s

Algorithm
intervals
Results
1.3s3002×body1280valid
693.0ms2544×body640valid
522.0ms8811×body80valid
228.0ms1265×body320valid
79.0ms642×body160valid

Profiling

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