Details

Time bar (total: 9.9s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results
73.0ms139×body1280valid
25.0ms73×body640valid
16.0ms48×body1280invalid
10.0ms44×body640invalid
6.0ms29×body320valid
3.0ms18×body320invalid
2.0ms14×body160valid
1.0ms16×body80invalid
1.0msbody160invalid
0.0msbody80valid

simplify88.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1447
2997
31857
43187
57667
612707
717427
841617
950027

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.5b
(- (exp (- 0.0 im)) (exp im))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
associate-*r*
add-log-exp
add-cube-cbrt sub-neg pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out-- difference-of-squares
diff-log associate-*l* *-commutative
Counts
2 → 40
Calls
2 calls:
11.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms
(- (exp (- 0.0 im)) (exp im))

series20.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.0ms
(- (exp (- 0.0 im)) (exp im))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0268399
11086344
25001343

prune75.0ms

Filtered
30 candidates to 46 candidates (-53.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0.1b

Counts
47 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
0.1b
(* -1/3 (pow im 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×associate-*r*
18×add-exp-log
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
prod-exp
pow1 unpow-prod-down
associate-*l* unswap-sqr
cbrt-unprod
cube-prod sqr-pow
pow-prod-down *-commutative add-log-exp
distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
cube-mult flip3-- unpow3 flip--
Counts
3 → 80
Calls
3 calls:
5.0ms
(* 1/60 (pow im 5))
11.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
6.0ms
(* -1/3 (pow im 3))

series44.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* 1/60 (pow im 5))
36.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms
(* -1/3 (pow im 3))

simplify63.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0420581
11962502
25002502

prune162.0ms

Filtered
53 candidates to 89 candidates (-67.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83689
Fresh101
Picked011
Done000
Total84791

Merged error: 0.1b

Counts
91 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
0.6b
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
flip3-- pow1/3 flip--
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
9.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series418.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
81.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
83.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
78.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04361935
117331770
250011673

prune521.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New77784
Fresh055
Picked011
Done011
Total771491

Merged error: 0.0b

Counts
91 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* 0.5 (cos re))))
0.6b
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.6b
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.7b
(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
cbrt-div
cbrt-prod add-cube-cbrt *-un-lft-identity
pow1 add-exp-log associate-*r/
pow1/3
flip3-- associate-*r* associate-*l* add-cbrt-cube flip-- add-log-exp
pow-prod-down associate-*l/
prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* 0.5 (cos re))))
10.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
9.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms
(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* 0.5 (cos re))))
77.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
77.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
20.0ms
(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify57.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04801359
117471265
250011257

prune417.0ms

Filtered
63 candidates to 70 candidates (-11.1%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New68270
Fresh11011
Picked011
Done022
Total691584

Merged error: 0.0b

Counts
84 → 15

regimes506.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.7b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample5.7s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 65.979381%

Results
2.2s4240×body1280valid
755.0ms2344×body640valid
488.0ms1456×body1280invalid
283.0ms1166×body640invalid
185.0ms893×body320valid
102.0ms621×body320invalid
48.0ms371×body160valid
37.0ms317×body160invalid
29.0ms421×body80invalid
10.0ms152×body80valid

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