Details

Time bar (total: 45.8s)

sample283.0ms

Algorithm
intervals
Results
83.0ms77×body1280valid
61.0ms80×body640valid
52.0ms49×body320valid
48.0ms264×body80valid
9.0ms25×body160valid

simplify325.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
325.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize25.0ms

Local error

Found 3 expressions with local error:

6.1b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite118.0ms

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
45.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
45.0ms
(* J (- (exp l) (exp (- l))))
25.0ms
(- (exp l) (exp (- l)))

series243.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
80.0ms
(* J (- (exp l) (exp (- l))))
39.0ms
(- (exp l) (exp (- l)))

simplify8.7s

Counts
80 → 108
Calls
80 calls:
Slowest
626.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
307.0ms
(* J (- (exp l) (exp (* -1 l))))
307.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
288.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
271.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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

rewrite84.0ms

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
41.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
30.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
11.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
0.0ms
(fma 1/3 (* l l) 2)

series859.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
372.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
223.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
191.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
73.0ms
(fma 1/3 (* l l) 2)

simplify7.6s

Counts
35 → 82
Calls
35 calls:
Slowest
777.0ms
(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
484.0ms
(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
482.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
471.0ms
(* (* (* (* 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))))
465.0ms
(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

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-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
2×*-commutative
1×+-commutative sum-log fma-def flip3-+ flip-+ fma-udef unswap-sqr
Counts
4 → 68
Calls
4 calls:
Slowest
40.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
20.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
14.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
0.0ms
(fma 1/3 (* l l) 2)

series735.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
308.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
256.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
102.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
68.0ms
(fma 1/3 (* l l) 2)

simplify7.2s

Counts
32 → 80
Calls
32 calls:
Slowest
923.0ms
(* (* (* (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))))
497.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
491.0ms
(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))
486.0ms
(* (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
463.0ms
(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(cbrt J)
0.5b
(* (cbrt J) (cbrt J))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 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 → 85
Calls
4 calls:
Slowest
8.0ms
(* (cbrt J) (cbrt J))
1.0ms
(cbrt J)
1.0ms
(cbrt J)
1.0ms
(cbrt J)

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
337.0ms
(* (cbrt J) (cbrt J))
324.0ms
(cbrt J)
253.0ms
(cbrt J)
245.0ms
(cbrt J)

simplify1.0s

Counts
63 → 97
Calls
63 calls:
Slowest
153.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
132.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
126.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
114.0ms
(* (* (cbrt (cbrt J)) (cbrt (cbrt J))) (* (cbrt (cbrt J)) (cbrt (cbrt J))))
114.0ms
(* (pow (pow J 2) 1/3) (pow (cbrt -1) 2))

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

0% (0.3b remaining)

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

bsearch5.0ms

end0.0ms

sample10.8s

Algorithm
intervals
Results
3.4s2638×body1280valid
2.8s2635×body640valid
2.7s8591×body80valid
1.0s1452×body320valid
289.0ms711×body160valid