Details

Time bar (total: 7.5s)

sample94.0ms

Algorithm
intervals
Results
37.0ms108×body1280valid
17.0ms73×body640valid
13.0ms374×pre80true
7.0ms45×body320valid
4.0ms121×body80valid
3.0ms27×body160valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(- (exp x) 1)

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize9.0ms

Local error

Found 1 expressions with local error:

7.9b
(- (exp x) 1)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
add-log-exp
difference-of-squares
pow1 sub-neg flip3-- add-cbrt-cube diff-log difference-of-sqr-1 add-exp-log add-cube-cbrt insert-posit16 flip-- distribute-lft-out--
Counts
1 → 17
Calls
1 calls:
Slowest
8.0ms
(- (exp x) 1)

series15.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
15.0ms
(- (exp x) 1)

simplify376.0ms

Counts
10 → 20
Calls
10 calls:
Slowest
206.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
37.0ms
(/ (exp (exp x)) (exp 1))
21.0ms
(- (sqrt (exp x)) (sqrt 1))
19.0ms
(- (exp x) 1)
18.0ms
(+ (sqrt (exp x)) (sqrt 1))

prune174.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x 1/6)
0.0b
(* (* x x) (+ (* x 1/6) 1/2))
0.0b
(+ x (* (* x x) (+ (* x 1/6) 1/2)))
0.0b
(+ (* x 1/6) 1/2)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt
add-log-exp
*-un-lft-identity add-cube-cbrt
associate-*r*
associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
flip3-+ flip-+
distribute-rgt-in +-commutative associate-+r+ sum-log distribute-lft-in associate-*r/ *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
Slowest
27.0ms
(* (* x x) (+ (* x 1/6) 1/2))
6.0ms
(+ (* x 1/6) 1/2)
6.0ms
(+ x (* (* x x) (+ (* x 1/6) 1/2)))
6.0ms
(* x 1/6)

series209.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
97.0ms
(* (* x x) (+ (* x 1/6) 1/2))
46.0ms
(+ (* x 1/6) 1/2)
45.0ms
(+ x (* (* x x) (+ (* x 1/6) 1/2)))
20.0ms
(* x 1/6)

simplify3.1s

Counts
40 → 81
Calls
40 calls:
Slowest
327.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
285.0ms
(* (exp x) (exp (* (* x x) (+ (* x 1/6) 1/2))))
260.0ms
(* (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (+ (* x 1/6) 1/2)))
245.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
234.0ms
(+ (* (* x 1/6) (* x 1/6)) (- (* 1/2 1/2) (* (* x 1/6) 1/2)))

prune574.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes53.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.4s3450×body1280valid
528.0ms2441×body640valid
347.0ms11898×pre80true
228.0ms4070×body80valid
149.0ms1289×body320valid
48.0ms648×body160valid