Details

Time bar (total: 39.6s)

sample55.0ms

Algorithm
intervals
Results
26.0ms66×body1280valid
8.0ms42×body640valid
8.0ms200×body80valid
4.0ms34×body320valid
1.0ms10×body160valid

simplify19.0ms

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (expm1 x) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×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
4.0ms
(/ (expm1 x) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
45.0ms
(/ (expm1 x) x)

simplify1.0s

Counts
28 → 34
Calls
28 calls:
Slowest
494.0ms
(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
124.0ms
(* -1 (/ (- 1 (exp x)) x))
101.0ms
(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
54.0ms
(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
34.0ms
(/ (- (exp x) 1) x)

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 109
Calls
2 calls:
Slowest
6.0ms
(/ 1 (/ x (expm1 x)))
4.0ms
(/ x (expm1 x))

series104.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(/ 1 (/ x (expm1 x)))
41.0ms
(/ x (expm1 x))

simplify5.3s

Counts
132 → 115
Calls
132 calls:
Slowest
464.0ms
(/ (* (* 1 1) 1) (* (* (/ x (expm1 x)) (/ x (expm1 x))) (/ x (expm1 x))))
410.0ms
(/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x)))
316.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
248.0ms
(/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
203.0ms
(/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x))))

prune836.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (/ 1 x) (/ 1 (expm1 x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
197×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
41×add-exp-log
32×div-exp
29×div-inv
13×associate-/r* add-cbrt-cube associate-/l*
8×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u pow1 clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 230
Calls
1 calls:
Slowest
9.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
66.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))

simplify27.3s

Counts
386 → 233
Calls
386 calls:
Slowest
1.4s
(/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 (expm1 x)) (/ 1 (expm1 x))) (/ 1 (expm1 x))))
537.0ms
(/ (/ 1 (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
463.0ms
(/ (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* (expm1 x) (expm1 x)) (expm1 x))))
424.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
389.0ms
(/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (/ (* (* 1 1) 1) (* (* (expm1 x) (expm1 x)) (expm1 x))))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s2334×body1280valid
487.0ms1658×body640valid
393.0ms5435×body80valid
192.0ms810×body320valid
53.0ms410×body160valid