Details

Time bar (total: 6.8s)

sample158.0ms

Algorithm
intervals
Results
91.0ms189×body1280valid
29.0ms108×body640valid
8.0ms47×body320valid
7.0ms126×body80valid
3.0ms26×body160valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
071812
171812

prune6.0ms

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: 58.8b

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)))
8.1b
(- (exp (- 0.0 im)) (exp im))

rewrite22.0ms

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:
14.0ms
(* (* 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))

simplify50.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05168563

prune80.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0.1b

Counts
47 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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:
5.0ms
(* (pow im 5) -1/60)
5.0ms
(* (pow im 3) -1/3)
11.0ms
(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

series41.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (pow im 5) -1/60)
4.0ms
(* (pow im 3) -1/3)
33.0ms
(* (* 0.5 (cos re)) (+ (* (pow im 3) -1/3) (+ (* im -2) (* (pow im 5) -1/60))))

simplify27.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05251950

prune185.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New78987
Fresh022
Picked101
Done000
Total791190

Merged error: 0.0b

Counts
90 → 11

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
25×associate-*l*
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity prod-exp
10×associate-*r*
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×associate-*r/ pow-prod-down
1×distribute-rgt-in cube-mult distribute-lft-in flip3-+ unpow3 flip-+
Counts
4 → 97
Calls
4 calls:
5.0ms
(* (pow im 5) -1/60)
6.0ms
(* (cos re) (* (pow im 3) -1/3))
5.0ms
(* (pow im 3) -1/3)
6.0ms
(* (cos re) (+ (* im -2) (* (pow im 5) -1/60)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (pow im 5) -1/60)
15.0ms
(* (cos re) (* (pow im 3) -1/3))
4.0ms
(* (pow im 3) -1/3)
43.0ms
(* (cos re) (+ (* im -2) (* (pow im 5) -1/60)))

simplify41.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05971940

prune216.0ms

Filtered
72 candidates to 109 candidates (-51.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1027109
Fresh7310
Picked011
Done000
Total10911120

Merged error: 0.0b

Counts
120 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos re)) (cbrt (cos re)))
0.4b
(cbrt (cos re))
0.4b
(cbrt (cos re))
0.4b
(cbrt (cos re))

rewrite11.0ms

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))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos re)) (cbrt (cos re)))
17.0ms
(cbrt (cos re))
19.0ms
(cbrt (cos re))
16.0ms
(cbrt (cos re))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05523477

prune129.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh279
Picked011
Done011
Total851196

Merged error: 0.0b

Counts
96 → 11

regimes431.0ms

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
02925
12925

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.7s5741×body1280valid
1.0s3556×body640valid
268.0ms1453×body320valid
237.0ms4381×body80valid
84.0ms688×body160valid

Profiling

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