Details

Time bar (total: 4.9s)

sample109.0ms

Algorithm
intervals
Results
40.0ms89×body1280valid
20.0ms80×body640valid
16.0ms281×body80valid
5.0ms32×body320valid
2.0ms13×body160valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
*-un-lft-identity associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out add-log-exp
Counts
1 → 23
Calls
1 calls:
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify34.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231248
11098203
25001203

prune47.0ms

Filtered
26 candidates to 16 candidates (38.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New25126
Fresh000
Picked011
Done000
Total25227

Merged error: 0.0b

Counts
27 → 2

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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-cbrt-cube
add-exp-log
associate-*r*
pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
associate-*l* exp-sum *-commutative
+-commutative sub-neg flip3-+ exp-diff associate-*r/ sum-log flip-+ distribute-lft-out
Counts
3 → 51
Calls
3 calls:
13.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
10.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms
(* (* 0.5 (sin re)) (exp im))

series38.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
10.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))

simplify53.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0327481
11562398
25001393

prune310.0ms

Filtered
60 candidates to 41 candidates (31.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh000
Picked101
Done011
Total59362

Merged error: 0b

Counts
62 → 3

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))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube
add-exp-log
pow1
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
prod-exp cbrt-unprod
times-frac associate-*r* pow-prod-down associate-/r*
cbrt-undiv div-exp div-inv
+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l*
Counts
3 → 51
Calls
3 calls:
8.0ms
(+ (/ (* 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))

series40.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ (* 0.5 (sin re)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))
11.0ms
(/ (* 0.5 (sin re)) (exp im))

simplify51.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0300456
11659397
25002390

prune154.0ms

Filtered
60 candidates to 44 candidates (26.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done011
Total60363

Merged error: 0b

Counts
63 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.2b
(* (sqrt (* (* 0.5 (sin re)) (exp im))) (sqrt (* (* 0.5 (sin re)) (exp im))))
0.3b
(sqrt (* (* 0.5 (sin re)) (exp im)))
0.3b
(sqrt (* (* 0.5 (sin re)) (exp im)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt pow-sqr add-cbrt-cube
add-exp-log add-cube-cbrt *-un-lft-identity associate-*r*
sqrt-prod
associate-*l*
swap-sqr prod-exp cbrt-unprod add-log-exp
exp-sum *-commutative
pow2 sub-neg pow-plus exp-diff sqrt-unprod associate-*r/ rem-square-sqrt unswap-sqr
Counts
4 → 111
Calls
4 calls:
10.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
15.0ms
(* (sqrt (* (* 0.5 (sin re)) (exp im))) (sqrt (* (* 0.5 (sin re)) (exp im))))
5.0ms
(sqrt (* (* 0.5 (sin re)) (exp im)))
5.0ms
(sqrt (* (* 0.5 (sin re)) (exp im)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
13.0ms
(* (sqrt (* (* 0.5 (sin re)) (exp im))) (sqrt (* (* 0.5 (sin re)) (exp im))))
15.0ms
(sqrt (* (* 0.5 (sin re)) (exp im)))
18.0ms
(sqrt (* (* 0.5 (sin re)) (exp im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0317740
11544591
25001550

prune231.0ms

Filtered
123 candidates to 58 candidates (52.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done022
Total1233126

Merged error: 0b

Counts
126 → 3

regimes258.0ms

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

sample3.2s

Algorithm
intervals
Results
1.3s3018×body1280valid
638.0ms2507×body640valid
475.0ms8576×body80valid
212.0ms1229×body320valid
76.0ms663×body160valid

Profiling

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