Details

Time bar (total: 10.7s)

sample1.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results
74.0ms144×body1280valid
22.0ms69×body640valid
19.0ms56×body1280invalid
7.0ms32×body640invalid
6.0ms97×body80invalid
5.0ms27×body320valid
4.0ms4×body80valid
3.0ms21×body320invalid
1.0ms12×body160valid
1.0ms10×body160invalid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1447
2997
31857
43187
57667
612707
717427
841617
950027

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.4b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.3b
(- (exp (- 0.0 im)) (exp im))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×add-cube-cbrt sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×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))

series21.0ms

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))

simplify36.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0268399
11086344
25001343

prune85.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0.2b

Counts
47 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
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))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×pow1 prod-exp add-log-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×sub-neg pow-prod-down *-commutative
2×distribute-rgt-in pow-to-exp flip3-- distribute-lft-in diff-log associate-*r/ pow-exp flip--
1×cube-mult unpow3 sum-log associate--r+
Counts
4 → 94
Calls
4 calls:
7.0ms
(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
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))

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms
(* 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))

simplify69.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0462764
12138663
25003663

prune216.0ms

Filtered
65 candidates to 106 candidates (-63.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New988106
Fresh022
Picked011
Done000
Total9811109

Merged error: 0.1b

Counts
109 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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
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 (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)))))
10.0ms
(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:
178.0ms
(* (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))))))
80.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
79.0ms
(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)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04361935
117331770
250011673

prune541.0ms

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

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New80484
Fresh189
Picked011
Done011
Total811495

Merged error: 0.0b

Counts
95 → 14

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 cbrt-prod
10×add-cube-cbrt *-un-lft-identity
9×pow1/3
6×add-exp-log cbrt-div
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
3×flip3-- flip--
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 68
Calls
4 calls:
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))))
6.0ms
(cbrt (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
5.0ms
(* (cbrt (* 0.5 (cos re))) (cbrt (* 0.5 (cos re))))

series154.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(cbrt (* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
22.0ms
(cbrt (- (* -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))))
34.0ms
(* (cbrt (* 0.5 (cos re))) (cbrt (* 0.5 (cos re))))

simplify53.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04501095
116921008
25002976

prune458.0ms

Filtered
63 candidates to 80 candidates (-27.0%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New77380
Fresh2911
Picked011
Done022
Total791594

Merged error: 0.0b

Counts
94 → 15

regimes769.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample6.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results
2.5s4298×body1280valid
725.0ms2272×body640valid
499.0ms1466×body1280invalid
290.0ms1235×body640invalid
182.0ms890×body320valid
142.0ms2439×body80invalid
112.0ms663×body320invalid
53.0ms388×body160valid
40.0ms321×body160invalid
10.0ms152×body80valid

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