Details

Time bar (total: 16.6s)

sample64.0ms

Algorithm
intervals
Results
28.0ms100×body1280valid
11.0ms90×body640valid
8.0ms376×pre80true
4.0ms44×body320valid
3.0ms125×body80valid
1.0ms17×body160valid

simplify9.0ms

Calls
1 calls:
Slowest
8.0ms
(- (exp x) 1)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize6.0ms

Local error

Found 1 expressions with local error:

4.9b
(- (exp x) 1)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt
1×pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube difference-of-sqr-1 add-exp-log add-cube-cbrt insert-posit16 flip-- add-log-exp
Calls
1 calls:
Slowest
4.0ms
(- (exp x) 1)

series15.0ms

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

simplify171.0ms

Calls
4 calls:
Slowest
132.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
15.0ms
(- (exp x) 1)
14.0ms
(- (exp x) 1)
8.0ms
(+ (sqrt (exp x)) 1)

prune115.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×associate-*l* insert-posit16 add-log-exp
2×flip3-+ associate-*l/ *-commutative flip-+
1×+-commutative associate-*r* pow-prod-down prod-exp cbrt-unprod
Calls
3 calls:
Slowest
5.0ms
(* (+ 1/2 (* x 1/6)) (* x x))
1.0ms
(+ 1/2 (* x 1/6))
0.0ms
(* x 1/6)

series158.0ms

Calls
3 calls:
Slowest
88.0ms
(* (+ 1/2 (* x 1/6)) (* x x))
53.0ms
(+ 1/2 (* x 1/6))
16.0ms
(* x 1/6)

simplify1.1s

Calls
16 calls:
Slowest
412.0ms
(* (+ (pow 1/2 3) (pow (* x 1/6) 3)) (* x x))
152.0ms
(* (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6))) (* x x))
151.0ms
(* (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6))) (* (* (* x x) (* x x)) (* x x)))
75.0ms
(* (+ 1/2 (* x 1/6)) (* x x))
68.0ms
(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune289.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

5.0b
(- (sqrt (exp x)) 1)
0.0b
(+ (sqrt (exp x)) 1)
0.0b
(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
0.0b
(sqrt (exp x))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
5×associate-*r* sqrt-prod
4×frac-times flip3-+ flip3-- difference-of-sqr-1 flip-+ insert-posit16 flip-- add-log-exp
3×sub-neg associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*l/ associate-*r/
1×+-commutative rem-sqrt-square pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
29.0ms
(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
8.0ms
(- (sqrt (exp x)) 1)
7.0ms
(+ (sqrt (exp x)) 1)
1.0ms
(sqrt (exp x))

series120.0ms

Calls
4 calls:
Slowest
55.0ms
(* (+ (sqrt (exp x)) 1) (- (sqrt (exp x)) 1))
34.0ms
(- (sqrt (exp x)) 1)
17.0ms
(+ (sqrt (exp x)) 1)
13.0ms
(sqrt (exp x))

simplify4.5s

Calls
44 calls:
Slowest
444.0ms
(* (- (* (sqrt (exp x)) (sqrt (exp x))) (* 1 1)) (- (sqrt (exp x)) 1))
388.0ms
(* (+ (pow (sqrt (exp x)) 3) (pow 1 3)) (- (pow (sqrt (exp x)) 3) (pow 1 3)))
357.0ms
(* (+ (* (sqrt (exp x)) (sqrt (exp x))) (- (* 1 1) (* (sqrt (exp x)) 1))) (+ (* (sqrt (exp x)) (sqrt (exp x))) (+ (* 1 1) (* (sqrt (exp x)) 1))))
314.0ms
(* (- (* (sqrt (exp x)) (sqrt (exp x))) (* 1 1)) (- (* (sqrt (exp x)) (sqrt (exp x))) (* 1 1)))
290.0ms
(* (- (sqrt (exp x)) 1) (+ (sqrt (exp x)) 1))

prune643.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/48 x)
0.0b
(* (+ (sqrt (exp x)) 1) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x))
0.0b
(+ (sqrt (exp x)) 1)
0.0b
(* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
8×flip3-+ flip-+
6×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
4×frac-times insert-posit16 add-log-exp
3×*-commutative
2×associate-*r/
1×+-commutative associate-*r* pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
57.0ms
(* (+ (sqrt (exp x)) 1) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x))
20.0ms
(* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x)
9.0ms
(+ (sqrt (exp x)) 1)
1.0ms
(* 1/48 x)

series139.0ms

Calls
4 calls:
Slowest
59.0ms
(* (+ (sqrt (exp x)) 1) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x))
34.0ms
(* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x)
25.0ms
(* 1/48 x)
21.0ms
(+ (sqrt (exp x)) 1)

simplify5.9s

Calls
33 calls:
Slowest
1.1s
(* (- (* (* x (+ (* 1/48 x) 1/8)) (* x (+ (* 1/48 x) 1/8))) (* 1/2 1/2)) x)
337.0ms
(* (+ (pow (sqrt (exp x)) 3) (pow 1 3)) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x))
334.0ms
(* (- (sqrt (exp x)) 1) (- (* x (+ (* 1/48 x) 1/8)) 1/2))
332.0ms
(* (* (* (+ (sqrt (exp x)) 1) (+ (sqrt (exp x)) 1)) (+ (sqrt (exp x)) 1)) (* (* (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x)) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x)))
312.0ms
(* (- (* (sqrt (exp x)) (sqrt (exp x))) (* 1 1)) (* (+ (* x (+ (* 1/48 x) 1/8)) 1/2) x))

prune730.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes45.0ms

Accuracy

0% (0.4b remaining)

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

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s3389×body1280valid
495.0ms2520×body640valid
388.0ms11976×pre80true
216.0ms4174×body80valid
150.0ms1269×body320valid
48.0ms624×body160valid