Details

Time bar (total: 1.1m)

sample230.0ms

Algorithm
intervals
Results
81.0ms106×body640valid
65.0ms88×body1280valid
36.0ms307×body80valid
18.0ms51×body320valid
7.0ms30×body160valid

simplify250.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
250.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.5b

localize31.0ms

Local error

Found 4 expressions with local error:

5.6b
(- (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)

rewrite200.0ms

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
70.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
66.0ms
(* J (- (exp l) (exp (- l))))
52.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
10.0ms
(- (exp l) (exp (- l)))

series556.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
282.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
111.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
87.0ms
(* J (- (exp l) (exp (- l))))
75.0ms
(- (exp l) (exp (- l)))

simplify14.9s

Counts
94 → 87
Calls
94 calls:
Slowest
1.1s
(- (* (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))) (* U U))
772.0ms
(* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l)))))
757.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
573.0ms
(* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l))))
419.0ms
(* (* J (- (exp l) (exp (- l)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite171.0ms

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
140.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
13.0ms
(* l (* 1/3 l))
10.0ms
(* 1/3 l)
8.0ms
(* (pow l 5) 1/60)

series377.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
91.0ms
(* (pow l 5) 1/60)
30.0ms
(* l (* 1/3 l))
17.0ms
(* 1/3 l)

simplify13.2s

Counts
97 → 97
Calls
97 calls:
Slowest
758.0ms
(* (* (* (* 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))))
747.0ms
(sqrt (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2))))
667.0ms
(* (* (* (* 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))))
601.0ms
(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2))) (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))) (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2))))
500.0ms
(* (cbrt (* (pow l 5) 1/60)) (cbrt (* (pow l 5) 1/60)))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize49.0ms

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

rewrite280.0ms

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
136.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
112.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
25.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)

series456.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
251.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
129.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
47.0ms
(* l (* 1/3 l))
29.0ms
(* 1/3 l)

simplify17.0s

Counts
90 → 92
Calls
90 calls:
Slowest
661.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
661.0ms
(* (* (* 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)))))
604.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))
566.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
545.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(* 1/3 l)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r* associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
Slowest
10.0ms
(* 1/3 l)
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
171.0ms
(cbrt (cos (/ K 2)))
154.0ms
(cbrt (cos (/ K 2)))
135.0ms
(cbrt (cos (/ K 2)))
25.0ms
(* 1/3 l)

simplify2.4s

Counts
73 → 67
Calls
73 calls:
Slowest
633.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
289.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
281.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
220.0ms
(* (* (* 1/3 1/3) 1/3) (* (* l l) l))
181.0ms
(* (* (* 1/3 l) (* 1/3 l)) (* 1/3 l))

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes498.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample10.0s

Algorithm
intervals
Results
3.7s2615×body1280valid
2.7s2581×body640valid
1.6s8337×body80valid
820.0ms1437×body320valid
647.0ms764×body160valid