Details

Time bar (total: 26.3s)

sample260.0ms

Algorithm
intervals
Results
86.0ms90×body1280valid
62.0ms92×body640valid
61.0ms269×body80valid
18.0ms38×body320valid
8.0ms23×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
82007
71093
6610
5337
4198
383
242
124
014

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.2b
(* J (- (exp l) (exp (- l))))
4.2b
(- (exp l) (exp (- l)))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg insert-posit16 log1p-expm1-u flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 99
Calls
3 calls:
62.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
46.0ms
(* J (- (exp l) (exp (- l))))
13.0ms
(- (exp l) (exp (- l)))

series308.0ms

Counts
3 → 9
Calls
3 calls:
163.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
92.0ms
(* J (- (exp l) (exp (- l))))
53.0ms
(- (exp l) (exp (- l)))

simplify1.1s

Counts
108 → 108
Iterations
IterNodes
32619
2910
1362
0168

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))
0.0b
(* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l))))))
0.1b
(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
0.2b
(* 1/3 (* l l))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 77
Calls
4 calls:
0.0ms
(fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))
12.0ms
(* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l))))))
31.0ms
(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
25.0ms
(* 1/3 (* l l))

series630.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))
206.0ms
(* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l))))))
264.0ms
(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
50.0ms
(* 1/3 (* l l))

simplify2.4s

Counts
89 → 89
Iterations
IterNodes
34741
2991
1332
0137

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b
(* l (* l l))
0.1b
(* l (* l l))
0.1b
(* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2)))
0.1b
(* J (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
39×pow1
21×add-cbrt-cube add-exp-log
13×add-sqr-sqrt
12×associate-*l*
10×pow-prod-down prod-exp pow-prod-up cbrt-unprod
9×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow2 pow-plus cube-unmult pow-sqr
Counts
4 → 96
Calls
4 calls:
27.0ms
(* l (* l l))
17.0ms
(* l (* l l))
7.0ms
(* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2)))
16.0ms
(* J (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2))))

series433.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* l (* l l))
43.0ms
(* l (* l l))
91.0ms
(* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2)))
234.0ms
(* J (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) (cos (/ K 2))))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
32747
2797
1279
0128

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) J)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log
12×cbrt-prod
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 69
Calls
4 calls:
59.0ms
(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) J)))
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))

series848.0ms

Counts
4 → 12
Calls
4 calls:
383.0ms
(* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma (* l (* l l)) 1/3 (fma 2 l (* (* (* l l) (* l (* l l))) 1/60))) J)))
192.0ms
(cbrt (cos (/ K 2)))
122.0ms
(cbrt (cos (/ K 2)))
150.0ms
(cbrt (cos (/ K 2)))

simplify1.6s

Counts
81 → 81
Iterations
IterNodes
34025
2782
1242
0101

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes574.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
225
125
019

end0.0ms

sample10.2s

Algorithm
intervals
Results
3.7s2662×body1280valid
2.8s2546×body640valid
1.6s8446×body80valid
795.0ms1389×body320valid
732.0ms735×body160valid