Details

Time bar (total: 2.0m)

sample104.0ms

Algorithm
intervals
Results
35.0ms84×body10240exit
30.0ms72×body1280valid
15.0ms50×body640valid
5.0ms95×body80valid
5.0ms24×body320valid
2.0ms15×body160valid

simplify25.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
25.0ms
(/ (exp x) (- (exp x) 1))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.8b

localize9.0ms

Local error

Found 2 expressions with local error:

3.5b
(- (exp x) 1)
0.0b
(/ (exp x) (- (exp x) 1))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
21×times-frac add-cube-cbrt
10×difference-of-squares
9×prod-diff
7×associate-/r*
5×difference-of-sqr-1 distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×fma-neg add-exp-log associate-/l*
2×expm1-log1p-u pow1 flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip--
1×cbrt-undiv expm1-def clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 80
Calls
2 calls:
Slowest
13.0ms
(/ (exp x) (- (exp x) 1))
9.0ms
(- (exp x) 1)

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
41.0ms
(/ (exp x) (- (exp x) 1))
24.0ms
(- (exp x) 1)

simplify4.2s

Counts
121 → 86
Calls
121 calls:
Slowest
409.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
404.0ms
(/ (exp x) (- (pow (exp x) 3) (pow 1 3)))
267.0ms
(* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1))
258.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
206.0ms
(* (* (/ (exp x) (- (exp x) 1)) (/ (exp x) (- (exp x) 1))) (/ (exp x) (- (exp x) 1)))

prune670.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (exp x) (expm1 x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube associate-/l*
2×add-exp-log
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
6.0ms
(/ (exp x) (expm1 x))

series46.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
46.0ms
(/ (exp x) (expm1 x))

simplify1.1s

Counts
43 → 33
Calls
43 calls:
Slowest
416.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
183.0ms
(* (* (/ (exp x) (expm1 x)) (/ (exp x) (expm1 x))) (/ (exp x) (expm1 x)))
49.0ms
(+ (* 1/12 x) (+ (/ 1 x) 1/2))
40.0ms
(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
27.0ms
(/ (exp x) (- (exp x) 1))

prune261.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/r*
9×add-exp-log
7×div-exp
6×add-cbrt-cube
5×div-inv
3×cbrt-undiv associate-/l*
2×pow1 rec-exp 1-exp
1×expm1-log1p-u clear-num frac-2neg associate-/r/ insert-posit16 log1p-expm1-u pow-flip inv-pow add-log-exp
Counts
1 → 79
Calls
1 calls:
Slowest
17.0ms
(/ 1 (/ (expm1 x) (exp x)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
43.0ms
(/ 1 (/ (expm1 x) (exp x)))

simplify6.8s

Counts
121 → 82
Calls
121 calls:
Slowest
485.0ms
(/ (* (* 1 1) 1) (* (* (/ (expm1 x) (exp x)) (/ (expm1 x) (exp x))) (/ (expm1 x) (exp x))))
451.0ms
(* (* (/ 1 (/ (expm1 x) (exp x))) (/ 1 (/ (expm1 x) (exp x)))) (/ 1 (/ (expm1 x) (exp x))))
341.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))
325.0ms
(/ (sqrt 1) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))
268.0ms
(/ (* (* 1 1) 1) (/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x))))

prune713.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))
0.1b
(/ 1 (sqrt (/ (expm1 x) (exp x))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
2693×times-frac
1417×sqrt-prod
1180×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
128×div-inv
56×associate-/l*
32×associate-/r*
19×sqrt-div associate-/r/
15×add-exp-log
11×pow1
9×add-cbrt-cube
8×div-exp pow-flip
6×pow-div
5×sqrt-pow1 pow1/2
4×cbrt-undiv
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u inv-pow add-log-exp
1×associate-/l/
Counts
2 → 1033
Calls
2 calls:
Slowest
29.0ms
(/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))
17.0ms
(/ 1 (sqrt (/ (expm1 x) (exp x))))

series108.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
72.0ms
(/ 1 (sqrt (/ (expm1 x) (exp x))))
36.0ms
(/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))

simplify1.5m

Counts
1936 → 1039
Calls
1936 calls:
Slowest
404.0ms
(/ (/ (sqrt 1) (sqrt (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (sqrt (exp x))))) (sqrt (/ (sqrt (expm1 x)) (sqrt (exp x)))))
363.0ms
(/ (/ (* (* 1 1) 1) (* (* (sqrt (/ (expm1 x) (exp x))) (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))) (* (* (sqrt (/ (expm1 x) (exp x))) (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x)))))
332.0ms
(* (* (/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x)))) (/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x))))) (/ (/ 1 (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x)))))
297.0ms
(/ (* (* (/ 1 (sqrt (/ (expm1 x) (exp x)))) (/ 1 (sqrt (/ (expm1 x) (exp x))))) (/ 1 (sqrt (/ (expm1 x) (exp x))))) (* (* (sqrt (/ (expm1 x) (exp x))) (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x)))))
288.0ms
(/ (* (* 1 1) 1) (* (* (sqrt (/ (expm1 x) (exp x))) (sqrt (/ (expm1 x) (exp x)))) (sqrt (/ (expm1 x) (exp x)))))

prune12.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s2326×body1280valid
1.0s1590×body640valid
987.0ms2409×body10240exit
165.0ms2849×body80valid
157.0ms804×body320valid
56.0ms432×body160valid