Details

Time bar (total: 23.4s)

sample215.0ms

Algorithm
intervals
Results
65.0ms81×body1280valid
61.0ms69×body640valid
28.0ms264×body80valid
16.0ms45×body320valid
4.0ms16×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01415
12414
24514
39114
422214
560014
6286214
done500014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize24.0ms

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))))
5.9b
(- (exp l) (exp (- l)))

rewrite119.0ms

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)
83.0ms
(* J (- (exp l) (exp (- l))))
29.0ms
(- (exp l) (exp (- l)))

series422.0ms

Counts
3 → 9
Calls
3 calls:
268.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
98.0ms
(* J (- (exp l) (exp (- l))))
56.0ms
(- (exp l) (exp (- l)))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01621865
13701449
215581126
done5001954

prune425.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.0b
(* J (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)

rewrite17.0ms

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:
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
15.0ms
(* J (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)

series603.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
213.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
322.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify724.0ms

Counts
51 → 51
Iterations

Useful iterations: done (722.0ms)

IterNodesCost
0881042
11961028
2753891
done5000883

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
15.5b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
15.5b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
15.5b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
15.0ms
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
4.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
4.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
4.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
472.0ms
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
431.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
455.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
478.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

simplify761.0ms

Counts
78 → 78
Iterations

Useful iterations: done (757.0ms)

IterNodesCost
01322272
13172080
211171843
done50011589

prune714.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt J)
0.6b
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
15.5b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
15.5b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×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 → 48
Calls
4 calls:
2.0ms
(cbrt J)
2.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
23.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
7.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
292.0ms
(cbrt J)
208.0ms
(cbrt (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
431.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
472.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

simplify2.4s

Counts
60 → 60
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01311154
12841127
28231023
34043947
done5000945

prune605.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes439.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01921
12121
done2121

end0.0ms

sample7.7s

Algorithm
intervals
Results
2.6s2675×body1280valid
1.8s2563×body640valid
1.4s8238×body80valid
677.0ms1416×body320valid
186.0ms743×body160valid