Details

Time bar (total: 6.2s)

sample89.0ms

Algorithm
intervals
Results
29.0ms97×body1280valid
18.0ms386×pre80true
18.0ms84×body640valid
6.0ms38×body320valid
5.0ms138×body80valid
2.0ms29×body160valid

simplify15.0ms

Calls
1 calls:
Slowest
14.0ms
(- (exp x) 1)

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize10.0ms

Local error

Found 1 expressions with local error:

6.7b
(- (exp x) 1)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
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
7.0ms
(- (exp x) 1)

series18.0ms

Calls
1 calls:
Slowest
18.0ms
(- (exp x) 1)

simplify202.0ms

Calls
4 calls:
Slowest
178.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
8.0ms
(- (exp x) 1)
7.0ms
(- (exp x) 1)
7.0ms
(+ (sqrt (exp x)) 1)

prune105.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.4b
(* x 1/6)
0.0b
(* (+ 1/2 (* x 1/6)) (* x x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
associate-*l/ *-commutative insert-posit16 add-log-exp
flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
Calls
2 calls:
Slowest
14.0ms
(* (+ 1/2 (* x 1/6)) (* x x))
1.0ms
(* x 1/6)

series41.0ms

Calls
2 calls:
Slowest
28.0ms
(* (+ 1/2 (* x 1/6)) (* x x))
13.0ms
(* x 1/6)

simplify998.0ms

Calls
13 calls:
Slowest
330.0ms
(* (+ (pow 1/2 3) (pow (* x 1/6) 3)) (* x x))
181.0ms
(* (- (* 1/2 1/2) (* (* x 1/6) (* x 1/6))) (* x x))
167.0ms
(* (* (* (+ 1/2 (* x 1/6)) (+ 1/2 (* x 1/6))) (+ 1/2 (* x 1/6))) (* (* (* x x) (* x x)) (* x x)))
79.0ms
(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))
74.0ms
(+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))

prune275.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize1.0ms

Local error

Found 1 expressions with local error:

6.7b
(- (exp x) 1)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
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
6.0ms
(- (exp x) 1)

series19.0ms

Calls
1 calls:
Slowest
19.0ms
(- (exp x) 1)

simplify213.0ms

Calls
4 calls:
Slowest
172.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
14.0ms
(+ (sqrt (exp x)) 1)
13.0ms
(- (exp x) 1)
12.0ms
(- (exp x) 1)

prune80.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

6.7b
(log (exp (- (exp x) 1)))
6.7b
(- (exp x) 1)
0.0b
(exp (- (exp x) 1))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
exp-prod
*-un-lft-identity add-cube-cbrt
log-prod log-pow
pow1 exp-sum add-log-exp
sub-neg add-cbrt-cube difference-of-sqr-1 add-exp-log insert-posit16
exp-diff
log-div flip3-- rem-log-exp flip-- rem-exp-log
Calls
3 calls:
Slowest
15.0ms
(log (exp (- (exp x) 1)))
8.0ms
(exp (- (exp x) 1))
5.0ms
(- (exp x) 1)

series95.0ms

Calls
3 calls:
Slowest
68.0ms
(exp (- (exp x) 1))
16.0ms
(- (exp x) 1)
12.0ms
(log (exp (- (exp x) 1)))

simplify725.0ms

Calls
29 calls:
Slowest
158.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
147.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
76.0ms
(log (* (cbrt (exp (- (exp x) 1))) (cbrt (exp (- (exp x) 1)))))
53.0ms
(log (sqrt (exp (- (exp x) 1))))
47.0ms
(+ x (+ (pow x 2) 1))

prune374.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes114.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.4s3412×body1280valid
501.0ms2512×body640valid
292.0ms11934×pre80true
146.0ms4124×body80valid
136.0ms1255×body320valid
80.0ms631×body160valid