Details

Time bar (total: 51.7s)

sample255.0ms

Algorithm
intervals
Results
75.0ms80×body1280valid
62.0ms99×body640valid
41.0ms294×body80valid
27.0ms25×body160valid
21.0ms51×body320valid

simplify261.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
261.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize52.0ms

Local error

Found 3 expressions with local error:

4.1b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite152.0ms

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:
Slowest
74.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
52.0ms
(* J (- (exp l) (exp (- l))))
25.0ms
(- (exp l) (exp (- l)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
158.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
99.0ms
(* J (- (exp l) (exp (- l))))
59.0ms
(- (exp l) (exp (- l)))

simplify8.8s

Counts
80 → 108
Calls
80 calls:
Slowest
646.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
334.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
330.0ms
(* J (- (exp l) (exp (* -1 l))))
313.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
287.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-udef
2×*-commutative
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
Slowest
38.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
16.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
7.0ms
(* l (fma 1/3 (* l l) 2))
0.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series847.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
355.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
258.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
142.0ms
(* l (fma 1/3 (* l l) 2))
91.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify5.8s

Counts
35 → 82
Calls
35 calls:
Slowest
808.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
528.0ms
(+ (log (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (log (cos (/ K 2))))
465.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
409.0ms
(* (* (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
379.0ms
(+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×fma-udef unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+
Counts
4 → 80
Calls
4 calls:
Slowest
33.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
16.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
11.0ms
(* l (fma 1/3 (* l l) 2))
7.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))

series770.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
298.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
213.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
137.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
123.0ms
(* l (fma 1/3 (* l l) 2))

simplify8.6s

Counts
44 → 92
Calls
44 calls:
Slowest
959.0ms
(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
867.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
489.0ms
(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))
486.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
470.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.4b
(* l (sqrt (fma 1/3 (* l l) 2)))
0.4b
(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
0.1b
(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))
0.1b
(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
16×associate-*r*
12×*-un-lft-identity add-cube-cbrt
10×associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
7×sqrt-prod
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
3×unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
37.0ms
(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))
22.0ms
(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
7.0ms
(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
7.0ms
(* l (sqrt (fma 1/3 (* l l) 2)))

series679.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
229.0ms
(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))
185.0ms
(* l (sqrt (fma 1/3 (* l l) 2)))
136.0ms
(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
129.0ms
(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

simplify7.6s

Counts
58 → 103
Calls
58 calls:
Slowest
861.0ms
(* (* (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))) (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
399.0ms
(* (* (* J J) J) (* (* (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))) (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))) (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))))
364.0ms
(+ (log J) (log (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))))
358.0ms
(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
306.0ms
(* (* (* l l) l) (* (* (sqrt (fma 1/3 (* l l) 2)) (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch4.0ms

end0.0ms

sample10.4s

Algorithm
intervals
Results
3.9s2752×body1280valid
2.5s2576×body640valid
1.7s8418×body80valid
1.3s1515×body320valid
416.0ms759×body160valid