Details

Time bar (total: 4.7s)

sample63.0ms

Algorithm
intervals
Results
23.0ms105×body1280valid
14.0ms96×body640valid
10.0ms379×pre80true
4.0ms35×body320valid
3.0ms128×body80valid
1.0ms15×body160valid

simplify13.0ms

Calls
1 calls:
Slowest
13.0ms
(- (exp x) 1)

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(expm1 x)

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u expm1-udef add-log-exp
Calls
1 calls:
Slowest
0.0ms
(expm1 x)

series12.0ms

Calls
1 calls:
Slowest
12.0ms
(expm1 x)

simplify157.0ms

Calls
3 calls:
Slowest
138.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
9.0ms
(- (exp x) 1)
9.0ms
(- (exp x) 1)

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (expm1 x))
0.6b
(cbrt (expm1 x))
0.6b
(cbrt (expm1 x))
0.5b
(* (cbrt (expm1 x)) (cbrt (expm1 x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1
pow1/3
associate-*r* associate-*l* add-exp-log
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow-prod-down pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
15.0ms
(* (cbrt (expm1 x)) (cbrt (expm1 x)))
1.0ms
(cbrt (expm1 x))
1.0ms
(cbrt (expm1 x))
1.0ms
(cbrt (expm1 x))

series541.0ms

Calls
4 calls:
Slowest
150.0ms
(* (cbrt (expm1 x)) (cbrt (expm1 x)))
146.0ms
(cbrt (expm1 x))
132.0ms
(cbrt (expm1 x))
113.0ms
(cbrt (expm1 x))

simplify474.0ms

Calls
41 calls:
Slowest
72.0ms
(+ (* 1/36 (pow (pow x 7) 1/3)) (+ (* 1/6 (pow (pow x 4) 1/3)) (pow x 1/3)))
67.0ms
(+ (* 1/36 (pow (pow x 7) 1/3)) (+ (* 1/6 (pow (pow x 4) 1/3)) (pow x 1/3)))
44.0ms
(+ (* 1/36 (pow (pow x 7) 1/3)) (+ (* 1/6 (pow (pow x 4) 1/3)) (pow x 1/3)))
37.0ms
(+ (* 1/3 (pow (pow x 5) 1/3)) (+ (* 1/12 (pow (pow x 8) 1/3)) (pow x 2/3)))
21.0ms
(pow (- (exp x) 1) 1/3)

prune468.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.0s3382×body1280valid
548.0ms2533×body640valid
431.0ms663×body160valid
387.0ms11953×pre80true
226.0ms1259×body320valid
125.0ms4116×body80valid