Details

Time bar (total: 7.4s)

sample133.0ms

Algorithm
intervals
Results
45.0ms90×body1280valid
25.0ms86×body640valid
17.0ms275×body80valid
12.0ms57×body320valid
3.0ms23×body160valid

simplify182.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0239
1419
2839
31739
42849
55569
69199
712209
839189
950029

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.4b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
0.0b
(* J (- (exp l) (exp (neg l))))
5.6b
(- (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:
9.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
8.0ms
(* J (- (exp l) (exp (neg l))))
5.0ms
(- (exp l) (exp (neg l)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
12.0ms
(* J (- (exp l) (exp (neg l))))
5.0ms
(- (exp l) (exp (neg l)))

simplify35.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0265566
11128479
25001473

prune107.0ms

Filtered
69 candidates to 47 candidates (31.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh000
Picked011
Done000
Total68270

Merged error: 0.1b

Counts
70 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-*l* prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod associate-*r/ pow-prod-down *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*l/ pow-exp flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 98
Calls
4 calls:
10.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
6.0ms
(* 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))

series80.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
5.0ms
(* 1/60 (pow l 5))
44.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
4.0ms
(* 1/3 (pow l 3))

simplify70.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0464817
12375697
25001697

prune262.0ms

Filtered
110 candidates to 70 candidates (36.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1037110
Fresh000
Picked011
Done011
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize19.0ms

Local error

Found 4 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))))
0.1b
(* 1/3 (pow l 3))
0.2b
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

rewrite35.0ms

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))
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))
10.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
43.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
4.0ms
(* 1/3 (pow l 3))
15.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify65.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0444856
12079731
25001731

prune248.0ms

Filtered
108 candidates to 69 candidates (36.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1071108
Fresh156
Picked011
Done022
Total1089117

Merged error: 0b

Counts
117 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
14.0b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
14.0b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
14.0b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/ 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×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:
9.0ms
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
10.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
10.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
12.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

series372.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
88.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
88.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
88.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04242067
115571890
250011781

prune577.0ms

Filtered
84 candidates to 67 candidates (20.2%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh055
Picked011
Done033
Total84993

Merged error: 0b

Counts
93 → 9

regimes951.0ms

Accuracy

0% (0.3b 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

sample3.9s

Algorithm
intervals
Results
1.3s2717×body1280valid
791.0ms2614×body640valid
555.0ms8610×body80valid
296.0ms1419×body320valid
102.0ms729×body160valid

Profiling

Loading profile data...