Details

Time bar (total: 8.0s)

sample158.0ms

Algorithm
intervals
Results
85.0ms184×body1280valid
32.0ms123×body640valid
8.0ms47×body320valid
7.0ms143×body80valid
2.0ms20×body160valid

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

prune4.0ms

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: 58.0b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.5b
(- (exp (- 0.0 im)) (exp im))

rewrite23.0ms

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:
15.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms
(- (exp (- 0.0 im)) (exp im))

series113.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
35.0ms
(- (exp (- 0.0 im)) (exp im))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0268399
11086344
25001343

prune159.0ms

Filtered
46 candidates to 30 candidates (65.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0.2b

Counts
47 → 3

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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
9×prod-exp
8×pow1 unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
1×cube-mult flip3-- unpow3 flip--
Counts
3 → 80
Calls
3 calls:
5.0ms
(* 1/60 (pow im 5))
9.0ms
(* -1/3 (pow im 3))
12.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series260.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/60 (pow im 5))
36.0ms
(* -1/3 (pow im 3))
174.0ms
(* (* 0.5 (cos re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify64.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420581
11962502
25001502

prune316.0ms

Filtered
89 candidates to 54 candidates (60.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh022
Picked101
Done000
Total83992

Merged error: 0.1b

Counts
92 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (* -1/3 (pow im 3)))
0.1b
(* -1/60 (pow im 5))
0.1b
(* -1/3 (pow im 3))
0.1b
(* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
27×add-sqr-sqrt
25×prod-exp
23×associate-*r*
22×add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
11×pow1 cbrt-unprod
10×associate-*l*
8×unpow-prod-down unswap-sqr
4×pow-to-exp cube-prod pow-prod-down pow-exp *-commutative add-log-exp sqr-pow
2×associate-*l/
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 100
Calls
4 calls:
11.0ms
(* (* 0.5 (cos re)) (* -1/3 (pow im 3)))
6.0ms
(* -1/60 (pow im 5))
6.0ms
(* -1/3 (pow im 3))
6.0ms
(* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))

series237.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* (* 0.5 (cos re)) (* -1/3 (pow im 3)))
46.0ms
(* -1/60 (pow im 5))
39.0ms
(* -1/3 (pow im 3))
61.0ms
(* (+ (* -2 im) (* -1/60 (pow im 5))) (cos re))

simplify72.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0445589
12116504
25001504

prune413.0ms

Filtered
112 candidates to 67 candidates (59.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1048112
Fresh538
Picked011
Done000
Total10912121

Merged error: 0.0b

Counts
121 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos re)) (cbrt (cos re)))
0.3b
(cbrt (cos re))
0.3b
(cbrt (cos re))
0.3b
(cbrt (cos re))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (cos re)) (cbrt (cos re)))
1.0ms
(cbrt (cos re))
1.0ms
(cbrt (cos re))
1.0ms
(cbrt (cos re))

series437.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (cbrt (cos re)) (cbrt (cos re)))
93.0ms
(cbrt (cos re))
93.0ms
(cbrt (cos re))
98.0ms
(cbrt (cos re))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune374.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh2810
Picked101
Done011
Total831497

Merged error: 0.0b

Counts
97 → 14

regimes475.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.5s5698×body1280valid
929.0ms3500×body640valid
264.0ms1508×body320valid
223.0ms4340×body80valid
77.0ms669×body160valid

Profiling

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