Details

Time bar (total: 6.1s)

sample130.0ms

Algorithm
intervals
Results
35.0ms77×body1280valid
26.0ms89×body640valid
19.0ms275×body80valid
10.0ms48×body320valid
3.0ms25×body160valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

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: 18.4b

Counts
2 → 2

localize13.0ms

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))))
5.7b
(- (exp l) (exp (neg l)))

rewrite29.0ms

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:
9.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
13.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
6.0ms
(- (exp l) (exp (neg l)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (- (exp l) (exp (neg l))) (cos (/ K 2.0)))
23.0ms
(* J (* (- (exp l) (exp (neg l))) (cos (/ K 2.0))))
6.0ms
(- (exp l) (exp (neg l)))

simplify43.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05187787

prune121.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New61465
Fresh101
Picked101
Done000
Total63467

Merged error: 0.1b

Counts
67 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:
6.0ms
(* 1/60 (pow l 5))
12.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
14.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
7.0ms
(* 1/3 (pow l 3))

series65.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
41.0ms
(* J (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0))))
15.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (cos (/ K 2.0)))
4.0ms
(* 1/3 (pow l 3))

simplify45.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050231450

prune256.0ms

Filtered
71 candidates to 110 candidates (-54.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1064110
Fresh033
Picked011
Done000
Total1068114

Merged error: 0.0b

Counts
114 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
17×*-un-lft-identity
13×add-cbrt-cube add-log-exp
12×add-cube-cbrt
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×sum-log
5×cbrt-unprod
4×cube-prod associate-*l/ sqr-pow
3×pow-prod-down *-commutative distribute-lft-out
2×pow-to-exp flip3-+ pow-exp flip-+
1×+-commutative cube-mult associate-+r+ unpow3
Counts
4 → 92
Calls
4 calls:
9.0ms
(+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))
6.0ms
(* 1/60 (pow l 5))
7.0ms
(* 1/3 (pow l 3))
13.0ms
(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5)))))
5.0ms
(* 1/60 (pow l 5))
4.0ms
(* 1/3 (pow l 3))
30.0ms
(* (* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) J) (cos (/ K 2.0)))

simplify24.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
049761251
149761251

prune215.0ms

Filtered
64 candidates to 104 candidates (-62.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1031104
Fresh156
Picked011
Done011
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

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 *-commutative add-log-exp sqr-pow
3×distribute-lft-out
2×pow-to-exp associate-*l/ pow-exp
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 1/60 (pow l 5))
4.0ms
(* J (cos (/ K 2.0)))
7.0ms
(* 1/3 (pow l 3))
12.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* J (cos (/ K 2.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
8.0ms
(* J (cos (/ K 2.0)))
4.0ms
(* 1/3 (pow l 3))
27.0ms
(* (+ l (+ l (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))) (* J (cos (/ K 2.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
050871099

prune191.0ms

Filtered
67 candidates to 108 candidates (-61.2%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh055
Picked011
Done022
Total1079116

Merged error: 0.0b

Counts
116 → 9

regimes676.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b 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
1.2s2696×body1280valid
815.0ms2697×body640valid
572.0ms8444×body80valid
299.0ms1458×body320valid
107.0ms783×body160valid

Profiling

Loading profile data...