Details

Time bar (total: 6.3s)

sample125.0ms

Algorithm
intervals
Results
43.0ms94×body1280valid
22.0ms73×body640valid
16.0ms248×body80valid
8.0ms40×body320valid
3.0ms24×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
0111015
1111015

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.0b

Counts
2 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
0.0b
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
4.2b
(- (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-*l*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- flip--
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
1×sub-neg diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
7.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
9.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
5.0ms
(- (exp l) (exp (neg l)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
21.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
5.0ms
(- (exp l) (exp (neg l)))

simplify53.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05181787

prune96.0ms

Filtered
47 candidates to 65 candidates (-38.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New62365
Fresh101
Picked101
Done000
Total64367

Merged error: 0.0b

Counts
67 → 3

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
19×*-un-lft-identity
15×add-cbrt-cube
14×add-cube-cbrt 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
3×distribute-lft-out
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 98
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
9.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
12.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
6.0ms
(* 1/3 (pow l 3))

series62.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 1/60 (pow l 5))
13.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
41.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
4.0ms
(* 1/3 (pow l 3))

simplify49.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050231450

prune218.0ms

Filtered
69 candidates to 110 candidates (-59.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh022
Picked011
Done000
Total1067113

Merged error: 0b

Counts
113 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
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×pow-prod-down *-commutative
2×pow-to-exp flip3-+ associate-*r/ associate-*l/ pow-exp flip-+
1×+-commutative cube-mult unpow3 sum-log
Counts
4 → 87
Calls
4 calls:
6.0ms
(+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))
5.0ms
(* 1/60 (pow l 5))
6.0ms
(* 1/3 (pow l 3))
11.0ms
(* (* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))) (cos (/ K 2.0)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))
4.0ms
(* 1/60 (pow l 5))
4.0ms
(* 1/3 (pow l 3))
36.0ms
(* (* J (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))) (cos (/ K 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049871103
149871103

prune184.0ms

Filtered
62 candidates to 99 candidates (-59.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh055
Picked011
Done011
Total997106

Merged error: 0b

Counts
106 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))) (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))))
0.6b
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
0.6b
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
0.6b
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))) (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))))
8.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
8.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
8.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))

series171.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))) (cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))))
43.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
37.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
37.0ms
(cbrt (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049582591
149582591

prune442.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done022
Total84791

Merged error: 0b

Counts
91 → 7

regimes576.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02924
12924

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.3s2626×body1280valid
807.0ms2581×body640valid
565.0ms8265×body80valid
301.0ms1424×body320valid
109.0ms766×body160valid

Profiling

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