Details

Time bar (total: 8.0s)

sample112.0ms

Algorithm
intervals
Results
32.0ms79×body1280valid
32.0ms102×body640valid
15.0ms278×body80valid
9.0ms49×body320valid
3.0ms23×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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

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)
4.3b
(- (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:
9.0ms
(* J (- (exp l) (exp (- l))))
1.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
6.0ms
(- (exp l) (exp (- l)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* J (- (exp l) (exp (- l))))
161.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
39.0ms
(- (exp l) (exp (- l)))

simplify40.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03181176
11096780
25001725

prune253.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)))
0.1b
(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
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))))
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)

series424.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
57.0ms
(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)

simplify105.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0176451
1760390
24093382
35001382

prune227.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
0.6b
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.6b
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

rewrite15.0ms

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 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
1.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
5.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

series589.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
145.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
145.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
141.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

simplify138.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
03061320
19701218
243721056
350011030

prune489.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
0.7b
(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
0.7b
(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
1.0b
(pow (cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) 4)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
1.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
4.0ms
(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
2.0ms
(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
4.0ms
(pow (cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) 4)

series645.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
158.0ms
(cbrt (* (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
147.0ms
(cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
192.0ms
(pow (cbrt (cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) 4)

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04911150
115131051
250021007

prune635.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes377.0ms

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
0219
1219

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2694×body1280valid
678.0ms2600×body640valid
494.0ms8455×body80valid
244.0ms1387×body320valid
93.0ms814×body160valid