Details

Time bar (total: 7.0s)

sample119.0ms

Algorithm
intervals
Results
45.0ms95×body1280valid
25.0ms87×body640valid
17.0ms275×body80valid
10.0ms51×body320valid
2.0ms17×body160valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0239
1419
2839
31739
42849
55569
69199
712209
839189
950029

prune3.0ms

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: 18.6b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (neg l))))
0.0b
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.3b
(- (exp l) (exp (neg l)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 60
Calls
3 calls:
8.0ms
(* J (- (exp l) (exp (neg l))))
9.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms
(- (exp l) (exp (neg l)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* J (- (exp l) (exp (neg l))))
91.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
39.0ms
(- (exp l) (exp (neg l)))

simplify36.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0265566
11128479
25001473

prune182.0ms

Filtered
69 candidates to 47 candidates (68.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New67269
Fresh000
Picked101
Done000
Total68270

Merged error: 0.1b

Counts
70 → 2

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/60 (pow l 5))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.2b
(* 1/3 (pow l 3))

rewrite24.0ms

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×pow-to-exp associate-*r/ associate-*l/ pow-exp
1×cube-mult flip3-+ unpow3 flip-+
Counts
3 → 76
Calls
3 calls:
5.0ms
(* 1/60 (pow l 5))
11.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series249.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* 1/60 (pow l 5))
163.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
39.0ms
(* 1/3 (pow l 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0403558
12036472
25003472

prune238.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh011
Picked011
Done000
Total80787

Merged error: 0.0b

Counts
87 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/60 (pow l 5))
0.1b
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.1b
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.2b
(* 1/3 (pow l 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
12.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
11.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
6.0ms
(* 1/3 (pow l 3))

series340.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 1/60 (pow l 5))
87.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
164.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
36.0ms
(* 1/3 (pow l 3))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444856
12079731
25001731

prune310.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1062108
Fresh235
Picked011
Done011
Total1087115

Merged error: 0b

Counts
115 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.4b
(cbrt (cos (/ K 2.0)))
0.4b
(cbrt (cos (/ K 2.0)))
0.4b
(cbrt (cos (/ K 2.0)))

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:
5.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series711.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
139.0ms
(cbrt (cos (/ K 2.0)))
144.0ms
(cbrt (cos (/ K 2.0)))
145.0ms
(cbrt (cos (/ K 2.0)))

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0131583
1426532
22037487
35001482

prune300.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done022
Total85792

Merged error: 0b

Counts
92 → 7

regimes242.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s2721×body1280valid
773.0ms2648×body640valid
522.0ms8408×body80valid
293.0ms1474×body320valid
238.0ms757×body160valid

Profiling

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