Details

Time bar (total: 6.7s)

sample163.0ms

Algorithm
intervals
Results
82.0ms180×body1280valid
37.0ms119×body640valid
10.0ms160×body80valid
9.0ms47×body320valid
3.0ms21×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
071812
171812

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 57.6b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.8b
(- (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:
13.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
8.0ms
(- (exp (- 0.0 im)) (exp im))

series24.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.0ms
(- (exp (- 0.0 im)) (exp im))

simplify42.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05161563

prune101.0ms

Filtered
31 candidates to 46 candidates (-48.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42446
Fresh000
Picked101
Done000
Total43447

Merged error: 0.1b

Counts
47 → 4

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
20×associate-*l*
18×add-exp-log
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×associate-*r* prod-exp
8×pow1 unpow-prod-down
7×unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×pow-to-exp associate-*r/ pow-exp
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ unpow3 flip-+
Counts
3 → 78
Calls
3 calls:
6.0ms
(* (pow im 5) -1/60)
11.0ms
(* (* 0.5 (cos re)) (+ (* im -2) (+ (* (pow im 5) -1/60) (* (pow im 3) -1/3))))
6.0ms
(* (pow im 3) -1/3)

series50.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (pow im 5) -1/60)
38.0ms
(* (* 0.5 (cos re)) (+ (* im -2) (+ (* (pow im 5) -1/60) (* (pow im 3) -1/3))))
4.0ms
(* (pow im 3) -1/3)

simplify22.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05269954

prune199.0ms

Filtered
58 candidates to 87 candidates (-50.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New80787
Fresh033
Picked101
Done000
Total811091

Merged error: 0.1b

Counts
91 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×associate-*r*
16×add-exp-log
13×add-cube-cbrt *-un-lft-identity associate-*l*
10×add-cbrt-cube
9×add-log-exp
8×unpow-prod-down unswap-sqr
7×prod-exp
6×pow1
4×cube-prod sqr-pow
3×sum-log *-commutative cbrt-unprod
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×+-commutative distribute-rgt-in cube-mult associate-+r+ distribute-lft-in unpow3 pow-prod-down
Counts
4 → 91
Calls
4 calls:
8.0ms
(+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))
6.0ms
(* (pow im 5) -1/60)
10.0ms
(* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
7.0ms
(* -1/3 (pow im 3))

series55.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60)))
5.0ms
(* (pow im 5) -1/60)
38.0ms
(* (cos re) (+ (* -1/3 (pow im 3)) (+ (* im -2) (* (pow im 5) -1/60))))
4.0ms
(* -1/3 (pow im 3))

simplify36.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
049761206
149761206

prune227.0ms

Filtered
67 candidates to 103 candidates (-53.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh279
Picked011
Done000
Total10211113

Merged error: 0.0b

Counts
113 → 11

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))

rewrite13.0ms

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)))
2.0ms
(cbrt (cos re))
2.0ms
(cbrt (cos re))
2.0ms
(cbrt (cos re))

series91.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (cos re)) (cbrt (cos re)))
20.0ms
(cbrt (cos re))
19.0ms
(cbrt (cos re))
20.0ms
(cbrt (cos re))

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05523477

prune134.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh189
Picked101
Done011
Total841296

Merged error: 0.0b

Counts
96 → 12

regimes512.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02520
12520

end0.0ms

sample4.8s

Algorithm
intervals
Results
2.6s5710×body1280valid
1.0s3629×body640valid
287.0ms1487×body320valid
263.0ms4444×body80valid
96.0ms757×body160valid

Profiling

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