Details

Time bar (total: 44.4s)

sample79.0ms

Algorithm
intervals
Results
37.0ms79×body1280valid
17.0ms51×body640valid
10.0ms163×body80valid
5.0ms24×body320valid
2.0ms12×body160valid

simplify18.0ms

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

prune17.0ms

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)

rewrite4.0ms

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
Calls
1 calls:
Slowest
4.0ms
(/ (expm1 x) x)

series66.0ms

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

simplify881.0ms

Calls
28 calls:
Slowest
459.0ms
(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
105.0ms
(* -1 (/ (- 1 (exp x)) x))
79.0ms
(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))
55.0ms
(/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt x) (cbrt x)))
17.0ms
(/ (- (exp x) 1) x)

prune225.0ms

Pruning

3 alts after pruning (3 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
Calls
2 calls:
Slowest
6.0ms
(/ 1 (/ x (expm1 x)))
4.0ms
(/ x (expm1 x))

series121.0ms

Calls
2 calls:
Slowest
63.0ms
(/ 1 (/ x (expm1 x)))
58.0ms
(/ x (expm1 x))

simplify5.6s

Calls
132 calls:
Slowest
424.0ms
(/ (* (* 1 1) 1) (* (* (/ x (expm1 x)) (/ x (expm1 x))) (/ x (expm1 x))))
415.0ms
(/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x)))
376.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
278.0ms
(/ (sqrt 1) (/ (* (cbrt x) (cbrt x)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
181.0ms
(/ (* (* 1 1) 1) (/ (* (* x x) x) (* (* (expm1 x) (expm1 x)) (expm1 x))))

prune772.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×add-exp-log
34×div-exp
30×div-inv
16×associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv rec-exp 1-exp
3×pow1
2×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow associate-/l/
Calls
2 calls:
Slowest
20.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))
8.0ms
(/ 1 (expm1 x))

series97.0ms

Calls
2 calls:
Slowest
50.0ms
(/ (/ 1 x) (/ 1 (expm1 x)))
47.0ms
(/ 1 (expm1 x))

simplify27.6s

Calls
416 calls:
Slowest
915.0ms
(/ (* (* (/ 1 x) (/ 1 x)) (/ 1 x)) (* (* (/ 1 (expm1 x)) (/ 1 (expm1 x))) (/ 1 (expm1 x))))
595.0ms
(/ (/ 1 (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
470.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (/ 1 (* (cbrt (expm1 x)) (cbrt (expm1 x)))))
403.0ms
(/ (/ (* (* 1 1) 1) (* (* x x) x)) (/ (* (* 1 1) 1) (* (* (expm1 x) (expm1 x)) (expm1 x))))
371.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt x) (cbrt x))) (* (cbrt (/ 1 (expm1 x))) (cbrt (/ 1 (expm1 x)))))

prune1.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
0.1b
(sqrt (/ (expm1 x) x))
0.1b
(sqrt (/ (expm1 x) x))
0.0b
(/ (expm1 x) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×*-un-lft-identity add-cube-cbrt
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-cbrt-cube add-exp-log
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* pow-prod-down pow-sqr associate-/l*
1×pow2 frac-times cbrt-undiv clear-num rem-square-sqrt frac-2neg pow-plus sqrt-unprod div-sub div-exp associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod expm1-udef
Calls
4 calls:
Slowest
14.0ms
(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
9.0ms
(sqrt (/ (expm1 x) x))
8.0ms
(/ (expm1 x) x)
2.0ms
(sqrt (/ (expm1 x) x))

series208.0ms

Calls
4 calls:
Slowest
55.0ms
(sqrt (/ (expm1 x) x))
52.0ms
(* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x)))
52.0ms
(/ (expm1 x) x)
49.0ms
(sqrt (/ (expm1 x) x))

simplify2.9s

Calls
185 calls:
Slowest
449.0ms
(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* x x) x))
205.0ms
(* (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))) (* (* (sqrt (/ (expm1 x) x)) (sqrt (/ (expm1 x) x))) (sqrt (/ (expm1 x) x))))
107.0ms
(+ (* 1/4 x) (+ (* 5/96 (pow x 2)) 1))
103.0ms
(* -1 (/ (- 1 (exp x)) x))
99.0ms
(+ (* 1/2 x) (+ (* 1/6 (pow x 2)) 1))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
933.0ms2231×body1280valid
811.0ms1653×body640valid
326.0ms5494×body80valid
198.0ms845×body320valid
49.0ms427×body160valid