Details

Time bar (total: 12.7s)

sample65.0ms

Algorithm
intervals
Results
30.0ms84×body1280valid
13.0ms54×body640valid
8.0ms169×body80valid
4.0ms25×body320valid
1.0ms14×body160valid

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(/ (- (exp x) 1) x)

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (expm1 x) x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp insert-posit16 log1p-expm1-u div-inv expm1-udef add-log-exp
Counts
1 → 31
Calls
1 calls:
Slowest
9.0ms
(/ (expm1 x) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
65.0ms
(/ (expm1 x) x)

simplify1.2s

Counts
45 → 34
Calls
45 calls:
Slowest
422.0ms
(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
208.0ms
(* (* (/ (expm1 x) x) (/ (expm1 x) x)) (/ (expm1 x) x))
118.0ms
(* -1 (/ (- 1 (exp x)) x))
106.0ms
(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
33.0ms
(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))

prune247.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ x (expm1 x)))
0.0b
(/ x (expm1 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
Slowest
11.0ms
(/ 1 (/ x (expm1 x)))
8.0ms
(/ x (expm1 x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(/ x (expm1 x))
52.0ms
(/ 1 (/ x (expm1 x)))

simplify7.5s

Counts
164 → 115
Calls
164 calls:
Slowest
472.0ms
(/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x)))
459.0ms
(/ (* (* 1 1) 1) (* (* (/ x (expm1 x)) (/ x (expm1 x))) (/ x (expm1 x))))
436.0ms
(* (* (/ 1 (/ x (expm1 x))) (/ 1 (/ x (expm1 x)))) (/ 1 (/ x (expm1 x))))
292.0ms
(/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
270.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))

prune801.0ms

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

sample2.6s

Algorithm
intervals
Results
1.2s2303×body1280valid
578.0ms1706×body640valid
363.0ms5439×body80valid
193.0ms782×body320valid
54.0ms407×body160valid