Details

Time bar (total: 25.0s)

sample158.0ms

Algorithm
intervals
Results
73.0ms107×body1280valid
34.0ms73×body640valid
21.0ms282×body80valid
14.0ms47×body320valid
4.0ms19×body160valid

simplify87.0ms

Calls
1 calls:
Slowest
87.0ms
(/ (- (exp x) (exp (- x))) 2)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize12.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (- x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out-- difference-of-squares
Calls
1 calls:
Slowest
10.0ms
(- (exp x) (exp (- x)))

series71.0ms

Calls
1 calls:
Slowest
71.0ms
(- (exp x) (exp (- x)))

simplify555.0ms

Calls
7 calls:
Slowest
307.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
66.0ms
(- (exp x) (exp (* -1 x)))
66.0ms
(/ (exp (exp x)) (exp (exp (- x))))
33.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
28.0ms
(+ (sqrt (exp x)) (sqrt (exp (- x))))

prune161.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.1b
(* (pow x 5) 1/60)
0.0b
(* x (+ (* x (* 1/3 x)) 2))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×associate-*r*
20×associate-*l*
19×*-un-lft-identity
18×add-exp-log
15×pow1 add-cbrt-cube add-cube-cbrt
9×unswap-sqr
8×prod-exp
6×pow-prod-down cbrt-unprod
5×*-commutative
4×unpow-prod-down insert-posit16 add-log-exp
2×distribute-rgt-in +-commutative distribute-lft-in associate-*r/ distribute-lft-out sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Calls
4 calls:
Slowest
196.0ms
(* x (+ (* x (* 1/3 x)) 2))
32.0ms
(* x (* 1/3 x))
15.0ms
(* 1/3 x)
11.0ms
(* (pow x 5) 1/60)

series265.0ms

Calls
4 calls:
Slowest
116.0ms
(* x (+ (* x (* 1/3 x)) 2))
92.0ms
(* (pow x 5) 1/60)
41.0ms
(* x (* 1/3 x))
16.0ms
(* 1/3 x)

simplify3.5s

Calls
79 calls:
Slowest
421.0ms
(+ (* (* x (* 1/3 x)) (* x (* 1/3 x))) (- (* 2 2) (* (* x (* 1/3 x)) 2)))
283.0ms
(* (* (* x x) x) (* (* (+ (* x (* 1/3 x)) 2) (+ (* x (* 1/3 x)) 2)) (+ (* x (* 1/3 x)) 2)))
247.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
209.0ms
(* (* (* (pow x 5) (pow x 5)) (pow x 5)) (* (* 1/60 1/60) 1/60))
193.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 x)
0.1b
(* x (* 1/3 x))
0.1b
(* x (* x (* 1/3 x)))
0.1b
(* (pow x 5) 1/60)

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
58×associate-*r*
49×add-sqr-sqrt
25×associate-*l* add-exp-log
22×pow1 add-cbrt-cube
19×*-un-lft-identity add-cube-cbrt
18×unswap-sqr
13×prod-exp
11×pow-prod-down cbrt-unprod
7×*-commutative
4×unpow-prod-down insert-posit16 add-log-exp
2×sqr-pow
1×pow-to-exp pow-exp
Calls
4 calls:
Slowest
105.0ms
(* x (* x (* 1/3 x)))
39.0ms
(* x (* 1/3 x))
11.0ms
(* (pow x 5) 1/60)
10.0ms
(* 1/3 x)

series183.0ms

Calls
4 calls:
Slowest
72.0ms
(* (pow x 5) 1/60)
56.0ms
(* x (* x (* 1/3 x)))
39.0ms
(* x (* 1/3 x))
16.0ms
(* 1/3 x)

simplify4.4s

Calls
96 calls:
Slowest
730.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x))))
658.0ms
(* (* (* x x) x) (* (* (* x (* 1/3 x)) (* x (* 1/3 x))) (* x (* 1/3 x))))
527.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x))))
232.0ms
(* (* (* x x) x) (* (* (* 1/3 x) (* 1/3 x)) (* 1/3 x)))
201.0ms
(* (* (* x x) x) (* (* (* 1/3 1/3) 1/3) (* (* x x) x)))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

5.1b
(- (sqrt (exp x)) (sqrt (exp (- x))))
0.0b
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
0.0b
(sqrt (exp x))
0.0b
(sqrt (exp x))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×*-un-lft-identity
20×sqrt-prod
10×add-cube-cbrt
9×associate-*r*
8×pow1 sqrt-pow1 difference-of-squares
6×exp-prod add-cbrt-cube add-exp-log add-log-exp
5×associate-*l*
4×frac-times flip3-- insert-posit16 flip-- distribute-lft-out--
3×sub-neg flip3-+ flip-+
2×distribute-rgt-in rem-sqrt-square distribute-lft-in pow1/2 associate-*l/ associate-*r/ distribute-lft-out
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Calls
4 calls:
Slowest
90.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
25.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
4.0ms
(sqrt (exp x))
4.0ms
(sqrt (exp x))

series341.0ms

Calls
4 calls:
Slowest
210.0ms
(* (+ (sqrt (exp x)) (sqrt (exp (- x)))) (- (sqrt (exp x)) (sqrt (exp (- x)))))
97.0ms
(- (sqrt (exp x)) (sqrt (exp (- x))))
17.0ms
(sqrt (exp x))
17.0ms
(sqrt (exp x))

simplify5.6s

Calls
73 calls:
Slowest
544.0ms
(* (- (* (sqrt (exp x)) (sqrt (exp x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))) (- (pow (sqrt (exp x)) 3) (pow (sqrt (exp (- x))) 3)))
421.0ms
(* (+ (pow (sqrt (exp x)) 3) (pow (sqrt (exp (- x))) 3)) (- (* (sqrt (exp x)) (sqrt (exp x))) (* (sqrt (exp (- x))) (sqrt (exp (- x))))))
328.0ms
(+ (* 2 x) (+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5))))
315.0ms
(+ x (+ (* 1/24 (pow x 3)) (* 1/1920 (pow x 5))))
268.0ms
(* (- (sqrt (exp x)) (sqrt (exp (* -1 x)))) (+ (sqrt (exp x)) (sqrt (exp (* -1 x)))))

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch5.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
2.1s3337×body1280valid
1.2s1272×body320valid
1.0s2467×body640valid
719.0ms8140×body80valid
126.0ms654×body160valid