Details

Time bar (total: 3.9s)

sample101.0ms

Algorithm
intervals
Results
45.0ms105×body1280valid
18.0ms73×body640valid
16.0ms302×body80valid
6.0ms39×body320valid
2.0ms16×body160valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0237
1587
2957
32097
44597
55967
611987
719317
850017

prune2.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b
(+ (exp (neg im)) (exp im))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
associate-*r* add-log-exp
add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
flip3-+ associate-*r/ flip-+ distribute-lft-out
+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
10.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms
(+ (exp (neg im)) (exp im))

series81.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
22.0ms
(+ (exp (neg im)) (exp im))

simplify38.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0248347
11228286
25001284

prune78.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New39241
Fresh000
Picked101
Done000
Total40242

Merged error: 0b

Counts
42 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (exp im))
0.0b
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
0.0b
(/ (* 0.5 (cos 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:
6.0ms
(* (* 0.5 (cos re)) (exp im))
8.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
6.0ms
(/ (* 0.5 (cos re)) (exp im))

series152.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (* 0.5 (cos re)) (exp im))
80.0ms
(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
36.0ms
(/ (* 0.5 (cos re)) (exp im))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0284450
11619391
25001384

prune97.0ms

Filtered
60 candidates to 44 candidates (73.3%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done000
Total60262

Merged error: 0b

Counts
62 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

0.1b
(* 1/12 (pow im 4))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
associate-*r*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity
associate-*l* prod-exp add-cbrt-cube unswap-sqr
sqr-pow
pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 25
Calls
1 calls:
5.0ms
(* 1/12 (pow im 4))

series38.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(* 1/12 (pow im 4))

simplify69.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
010097
140292
2183089
3500289

prune47.0ms

Filtered
28 candidates to 17 candidates (60.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh000
Picked011
Done011
Total28230

Merged error: 0b

Counts
30 → 2

regimes52.0ms

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

sample3.0s

Algorithm
intervals
Results
1.3s3004×body1280valid
637.0ms2539×body640valid
472.0ms8812×body80valid
219.0ms1266×body320valid
73.0ms646×body160valid

Profiling

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