Details

Time bar (total: 44.3s)

sample257.0ms

Algorithm
intervals
Results
78.0ms72×body1280valid
63.0ms280×body80valid
49.0ms67×body640valid
31.0ms58×body320valid
11.0ms28×body160valid

simplify269.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
269.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.4b

localize39.0ms

Local error

Found 4 expressions with local error:

9.0b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod insert-posit16
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 75
Calls
4 calls:
Slowest
91.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
57.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
45.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(- (exp l) (exp (- l)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
284.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
109.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
66.0ms
(* J (- (exp l) (exp (- l))))
49.0ms
(- (exp l) (exp (- l)))

simplify5.5s

Counts
46 → 87
Calls
46 calls:
Slowest
754.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
388.0ms
(- (+ U (* (cos (* 1/2 K)) (* (exp l) J))) (* (cos (* 1/2 K)) (* J (exp (* -1 l)))))
371.0ms
(* (exp (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))) (exp U))
321.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
315.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.1b
(* l (* 1/3 l))
0.1b
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b
(* (pow l 5) 1/60)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt add-cbrt-cube
16×pow1
14×associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×associate-*r* prod-exp
8×cbrt-unprod
7×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp unswap-sqr
2×associate-*l/ associate-*r/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 85
Calls
4 calls:
Slowest
121.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
15.0ms
(* l (* 1/3 l))
11.0ms
(* 1/3 l)
8.0ms
(* (pow l 5) 1/60)

series307.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
79.0ms
(* (pow l 5) 1/60)
29.0ms
(* l (* 1/3 l))
16.0ms
(* 1/3 l)

simplify5.4s

Counts
58 → 97
Calls
58 calls:
Slowest
774.0ms
(* (* (* (* J J) J) (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
624.0ms
(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
421.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
390.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))
387.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.1b
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))
0.1b
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*l*
10×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×associate-*l/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*r/ flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
Slowest
119.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
106.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
26.0ms
(* l (* 1/3 l))
7.0ms
(* 1/3 l)

series418.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
249.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
114.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
34.0ms
(* l (* 1/3 l))
20.0ms
(* 1/3 l)

simplify8.6s

Counts
52 → 92
Calls
52 calls:
Slowest
718.0ms
(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
596.0ms
(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))))
589.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
543.0ms
(* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
528.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.1b
(log (exp (* (pow l 5) 1/60)))
0.3b
(* 1/3 l)
0.1b
(* l (* 1/3 l))
0.1b
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60))))) (cos (/ K 2)))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
4×insert-posit16
3×log-prod log-pow *-commutative
2×associate-*l/ associate-*r/
1×exp-prod flip3-+ exp-to-pow rem-log-exp flip-+ unswap-sqr
Counts
4 → 74
Calls
4 calls:
Slowest
144.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60))))) (cos (/ K 2)))
20.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)
3.0ms
(log (exp (* (pow l 5) 1/60)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
227.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60))))) (cos (/ K 2)))
69.0ms
(log (exp (* (pow l 5) 1/60)))
31.0ms
(* l (* 1/3 l))
25.0ms
(* 1/3 l)

simplify4.8s

Counts
44 → 86
Calls
44 calls:
Slowest
889.0ms
(* (* (* (* J J) J) (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))) (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60))))) (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
688.0ms
(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60))))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
366.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (log (exp (* (pow l 5) 1/60))) 3))) (cos (/ K 2)))
317.0ms
(+ (+ (log J) (log (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))))) (log (cos (/ K 2))))
306.0ms
(+ (log (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (log (exp (* (pow l 5) 1/60)))))) (log (cos (/ K 2))))

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes487.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample10.2s

Algorithm
intervals
Results
4.3s2599×body1280valid
2.2s2551×body640valid
1.6s8306×body80valid
1.3s1532×body320valid
310.0ms789×body160valid