Details

Time bar (total: 7.5s)

sample105.0ms

Algorithm
intervals
Results
35.0ms91×body1280valid
24.0ms94×body640valid
15.0ms277×body80valid
7.0ms44×body320valid
3.0ms28×body160valid

simplify385.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0248
1448
2918
31958
43328
56528
612798
716948
849808
950018

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize16.0ms

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)
5.5b
(- (exp l) (exp (- l)))

rewrite35.0ms

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:
24.0ms
(* J (- (exp l) (exp (- l))))
0.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
8.0ms
(- (exp l) (exp (- l)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(* J (- (exp l) (exp (- l))))
154.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
38.0ms
(- (exp l) (exp (- l)))

simplify39.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03181176
11096780
25001725

prune231.0ms

Filtered
93 candidates to 56 candidates (60.2%)
Pruning

1 alts after pruning (1 fresh and 0 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)

rewrite4.0ms

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)

series410.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
52.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
226.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify108.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0176451
1760390
24093382
35001382

prune211.0ms

Filtered
51 candidates to 39 candidates (76.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
0.0b
(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
0.1b
(* 1/3 (pow l 3))
4.4b
(* J (* 1/3 (pow l 3)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
16×add-sqr-sqrt
13×associate-*r*
11×add-cbrt-cube
10×prod-exp
9×add-cube-cbrt *-un-lft-identity
6×pow1 associate-*l* add-log-exp
4×expm1-log1p-u unpow-prod-down cube-prod cbrt-unprod log1p-expm1-u unswap-sqr
3×fma-udef
2×pow-to-exp associate-+r+ pow-exp *-commutative sqr-pow
1×+-commutative distribute-rgt-in cube-mult fma-def distribute-lft-in flip3-+ unpow3 pow-prod-down sum-log flip-+ distribute-lft-out
Counts
4 → 81
Calls
4 calls:
8.0ms
(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
0.0ms
(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
7.0ms
(* 1/3 (pow l 3))
9.0ms
(* J (* 1/3 (pow l 3)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l))))
266.0ms
(fma (+ (* J (* 1/3 (pow l 3))) (* J (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)
41.0ms
(* 1/3 (pow l 3))
63.0ms
(* J (* 1/3 (pow l 3)))

simplify73.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0359599
11580520
25002508

prune369.0ms

Filtered
93 candidates to 67 candidates (72.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt J) (cbrt J))
0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(cbrt J)

rewrite9.0ms

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 J) (cbrt J))
0.0ms
(cbrt J)
0.0ms
(cbrt J)
1.0ms
(cbrt J)

series728.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt J) (cbrt J))
177.0ms
(cbrt J)
179.0ms
(cbrt J)
173.0ms
(cbrt J)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune414.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes247.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02611
12611

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2683×body1280valid
692.0ms2619×body640valid
485.0ms8504×body80valid
248.0ms1414×body320valid
87.0ms781×body160valid