Details

Time bar (total: 10.0s)

sample116.0ms

Algorithm
intervals
Results
35.0ms88×body1280valid
22.0ms87×body640valid
17.0ms312×body80valid
12.0ms67×body320valid
6.0ms26×body160valid

simplify371.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0248
1448
2918
31958
43328
56528
612798
716948
849808
950018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 17.5b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.0b
(* J (- (exp l) (exp (- l))))
6.9b
(- (exp l) (exp (- l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×pow1 add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 84
Calls
3 calls:
1.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
9.0ms
(* J (- (exp l) (exp (- l))))
6.0ms
(- (exp l) (exp (- l)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
55.0ms
(* J (- (exp l) (exp (- l))))
41.0ms
(- (exp l) (exp (- l)))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03181176
11096780
25001725

prune266.0ms

Filtered
93 candidates to 56 candidates (60.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New90393
Fresh000
Picked101
Done000
Total91394

Merged error: 0.0b

Counts
94 → 3

localize17.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series251.0ms

Counts
1 → 3
Calls
1 calls:
251.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify93.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
083156
1217136
2769128
33325128
45001128

prune68.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New11213
Fresh112
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)) (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

rewrite12.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)) (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

series2.1s

Counts
4 → 12
Calls
4 calls:
836.0ms
(* (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)) (cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)))
447.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
429.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
435.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

simplify169.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02941835
19891685
249741549
350011549

prune482.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90393
Fresh022
Picked011
Done011
Total90797

Merged error: 0.0b

Counts
97 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
0.6b
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
1.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

series1.7s

Counts
4 → 12
Calls
4 calls:
421.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
436.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
420.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
424.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

simplify47.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
01601052
1373968
21384960
35002852

prune433.0ms

Filtered
64 candidates to 60 candidates (93.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh044
Picked011
Done022
Total64771

Merged error: 0.0b

Counts
71 → 7

regimes343.0ms

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
0219
1219

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2630×body1280valid
679.0ms2593×body640valid
469.0ms8418×body80valid
256.0ms1459×body320valid
80.0ms713×body160valid