Details

Time bar (total: 7.4s)

sample146.0ms

Algorithm
intervals
Results
72.0ms157×body1280valid
37.0ms124×body640valid
9.0ms51×body320valid
9.0ms154×body80valid
4.0ms31×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2887
31417
43657
57807
610797
725957
850027

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: 44.5b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.7b
(- (exp (- im)) (exp im))

rewrite17.0ms

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:
10.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
5.0ms
(- (exp (- im)) (exp im))

series118.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (sin re)) (- (exp (- im)) (exp im)))
39.0ms
(- (exp (- im)) (exp im))

simplify34.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0241393
11046330
25001329

prune108.0ms

Filtered
46 candidates to 32 candidates (69.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0.1b

Counts
47 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
26×add-sqr-sqrt
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down *-commutative
2×pow-to-exp distribute-neg-in flip3-+ associate-*r/ pow-exp flip-+ distribute-neg-frac
1×+-commutative distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 sum-log distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
4.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms
(* 1/60 (pow im 5))
11.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms
(* 1/3 (pow im 3))

series391.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
45.0ms
(* 1/60 (pow im 5))
176.0ms
(* (* 0.5 (sin re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
38.0ms
(* 1/3 (pow im 3))

simplify75.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0533736
12612661
25002658

prune291.0ms

Filtered
109 candidates to 70 candidates (64.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1018109
Fresh011
Picked101
Done000
Total1029111

Merged error: 0.0b

Counts
111 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sin re) (pow im 5))
0.1b
(* (sin re) (pow im 3))
0.1b
(* (sin re) im)
0.1b
(* 0.16666666666666666 (* (sin re) (pow im 3)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
23×associate-*r*
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity prod-exp
12×associate-*l*
8×pow1 unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod *-commutative add-log-exp sqr-pow
3×pow-to-exp pow-exp
2×pow-prod-down
1×cube-mult unpow3
Counts
4 → 93
Calls
4 calls:
6.0ms
(* (sin re) (pow im 5))
6.0ms
(* (sin re) (pow im 3))
7.0ms
(* (sin re) im)
11.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (sin re) (pow im 5))
79.0ms
(* (sin re) (pow im 3))
31.0ms
(* (sin re) im)
91.0ms
(* 0.16666666666666666 (* (sin re) (pow im 3)))

simplify48.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0335504
11442434
25002434

prune276.0ms

Filtered
105 candidates to 66 candidates (62.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh268
Picked011
Done000
Total10311114

Merged error: 0.0b

Counts
114 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin re)) (cbrt (sin re)))
0.6b
(cbrt (sin re))
0.6b
(cbrt (sin re))
0.6b
(cbrt (sin 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 (sin re)) (cbrt (sin re)))
1.0ms
(cbrt (sin re))
1.0ms
(cbrt (sin re))
2.0ms
(cbrt (sin re))

series398.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (sin re)) (cbrt (sin re)))
94.0ms
(cbrt (sin re))
95.0ms
(cbrt (sin re))
100.0ms
(cbrt (sin re))

simplify97.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune263.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh459
Picked011
Done011
Total861096

Merged error: 0.0b

Counts
96 → 10

regimes222.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03014
14114
25914
36914
46914

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.3s4798×body1280valid
1.0s3818×body640valid
329.0ms1860×body320valid
243.0ms4475×body80valid
112.0ms977×body160valid

Profiling

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