Details

Time bar (total: 8.6s)

sample100.0ms

Algorithm
intervals
Results
35.0ms80×body1280valid
19.0ms71×body640valid
16.0ms282×body80valid
7.0ms42×body320valid
3.0ms23×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)

Merged error: 15.2b

localize13.0ms

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)
7.1b
(- (exp l) (exp (- l)))

rewrite41.0ms

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:
29.0ms
(* J (- (exp l) (exp (- l))))
0.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
8.0ms
(- (exp l) (exp (- l)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* J (- (exp l) (exp (- l))))
169.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
37.0ms
(- (exp l) (exp (- l)))

simplify39.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03181176
11096780
25001725

prune229.0ms

Filtered
93 candidates to 56 candidates (60.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
3.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series436.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
69.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
237.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify103.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0176451
1760390
24093382
35001382

prune198.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

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))

rewrite10.0ms

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

series2.0s

Counts
4 → 12
Calls
4 calls:
798.0ms
(* (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)))
405.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
399.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))
407.0ms
(cbrt (fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U))

simplify159.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02941835
19891685
249741549
350011549

prune432.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0b
(pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3)
0.0b
(fma (* J (cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))) (cos (/ K 2.0)) U)
36.7b
(cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cube-mult unpow3 fma-udef sqr-pow
1×pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
1.0ms
(pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3)
0.0ms
(fma (* J (cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))) (cos (/ K 2.0)) U)
1.0ms
(cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))

series431.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
79.0ms
(pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3)
237.0ms
(fma (* J (cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))) (cos (/ K 2.0)) U)
57.0ms
(cbrt (pow (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) 3))

simplify36.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0237721
1806664
25001650

prune275.0ms

Filtered
80 candidates to 50 candidates (62.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.4b 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
0219
1219

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2646×body1280valid
709.0ms2623×body640valid
481.0ms8362×body80valid
248.0ms1391×body320valid
95.0ms815×body160valid