Details

Time bar (total: 11.0s)

sample108.0ms

Algorithm
intervals
Results
36.0ms86×body1280valid
23.0ms87×body640valid
19.0ms274×body80valid
6.0ms37×body320valid
3.0ms19×body160valid

simplify375.0ms

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: 16.8b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
5.0b
(- (exp l) (exp (- l)))

rewrite17.0ms

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:
8.0ms
(* J (- (exp l) (exp (- l))))
1.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
5.0ms
(- (exp l) (exp (- l)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* J (- (exp l) (exp (- l))))
165.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
42.0ms
(- (exp l) (exp (- l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03181176
11096780
25001725

prune238.0ms

Filtered
93 candidates to 56 candidates (60.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh000
Picked101
Done000
Total92294

Merged error: 0.1b

Counts
94 → 2

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×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
3 → 30
Calls
3 calls:
1.0ms
(fma 1/60 (pow l 5) (* 2 l))
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series432.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(fma 1/60 (pow l 5) (* 2 l))
62.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
246.0ms
(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
39 → 39
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0111304
1337266
21488258
35003258

prune168.0ms

Filtered
39 candidates to 32 candidates (82.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh011
Picked011
Done000
Total35641

Merged error: 0.0b

Counts
41 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/60 (pow l 5) (* 2 l))) (cbrt (fma 1/60 (pow l 5) (* 2 l))))
0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))

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×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:
5.0ms
(* (cbrt (fma 1/60 (pow l 5) (* 2 l))) (cbrt (fma 1/60 (pow l 5) (* 2 l))))
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))

series2.4s

Counts
4 → 12
Calls
4 calls:
593.0ms
(* (cbrt (fma 1/60 (pow l 5) (* 2 l))) (cbrt (fma 1/60 (pow l 5) (* 2 l))))
570.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
554.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
720.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))

simplify108.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
02941041
1911966
23964840
35001800

prune430.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New91293
Fresh134
Picked011
Done011
Total92799

Merged error: 0.0b

Counts
99 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
0.6b
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
0.7b
(cbrt (cbrt (fma 1/60 (pow l 5) (* 2 l))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×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 → 55
Calls
4 calls:
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
2.0ms
(cbrt (cbrt (fma 1/60 (pow l 5) (* 2 l))))

series2.3s

Counts
4 → 12
Calls
4 calls:
578.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
583.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
576.0ms
(cbrt (fma 1/60 (pow l 5) (* 2 l)))
581.0ms
(cbrt (cbrt (fma 1/60 (pow l 5) (* 2 l))))

simplify70.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0240738
1618692
22260616
35001576

prune408.0ms

Filtered
67 candidates to 63 candidates (94.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh044
Picked011
Done022
Total67774

Merged error: 0.0b

Counts
74 → 7

regimes363.0ms

Accuracy

0% (0.4b 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
1.1s2672×body1280valid
685.0ms2582×body640valid
480.0ms8314×body80valid
251.0ms1395×body320valid
91.0ms795×body160valid