Details

Time bar (total: 52.5s)

sample104.0ms

Algorithm
intervals
Results
32.0ms83×body10240exit
30.0ms63×body1280valid
17.0ms51×body640valid
7.0ms32×body320valid
7.0ms101×body80valid
1.0ms9×body160valid

simplify38.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
38.0ms
(/ (exp x) (- (exp x) 1))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize12.0ms

Local error

Found 2 expressions with local error:

3.1b
(- (exp x) 1)
0.3b
(/ (exp x) (- (exp x) 1))

rewrite32.0ms

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
21.0ms
(/ (exp x) (- (exp x) 1))
9.0ms
(- (exp x) 1)

series58.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ (exp x) (- (exp x) 1))
18.0ms
(- (exp x) 1)

simplify2.9s

Counts
88 → 86
Calls
88 calls:
Slowest
383.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
354.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
92.0ms
(fma (* (cbrt (exp x)) (cbrt (exp x))) (cbrt (exp x)) (- (* (cbrt 1) (* (cbrt 1) (cbrt 1)))))
78.0ms
(fma (sqrt (exp x)) (sqrt (exp x)) (- (* (sqrt 1) (sqrt 1))))
69.0ms
(+ (* (exp x) (exp x)) (+ (* 1 1) (* (exp x) 1)))

prune563.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (expm1 x))
0.0b
(expm1 x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube
3×associate-/r* add-exp-log log1p-expm1-u associate-/l*
2×expm1-log1p-u pow1 insert-posit16 add-log-exp
1×cbrt-undiv expm1-log1p clear-num frac-2neg div-exp div-inv expm1-udef
Counts
2 → 42
Calls
2 calls:
Slowest
12.0ms
(/ (exp x) (expm1 x))
1.0ms
(expm1 x)

series65.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(/ (exp x) (expm1 x))
17.0ms
(expm1 x)

simplify996.0ms

Counts
31 → 48
Calls
31 calls:
Slowest
428.0ms
(/ (* (* (exp x) (exp x)) (exp x)) (* (* (expm1 x) (expm1 x)) (expm1 x)))
229.0ms
(+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2))))
32.0ms
(+ (* 1/12 x) (+ (/ 1 x) 1/2))
29.0ms
(/ (* (cbrt (exp x)) (cbrt (exp x))) (* (cbrt (expm1 x)) (cbrt (expm1 x))))
28.0ms
(/ (* (cbrt (exp x)) (cbrt (exp x))) (sqrt (expm1 x)))

prune358.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (expm1 x) (exp x))
0.0b
(/ 1 (/ (expm1 x) (exp x)))
0.0b
(expm1 x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
12×add-exp-log
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×pow1 cbrt-undiv log1p-expm1-u
3×expm1-log1p-u insert-posit16 add-log-exp
2×rec-exp clear-num frac-2neg 1-exp expm1-udef
1×expm1-log1p div-sub associate-/r/ pow-flip inv-pow
Counts
3 → 122
Calls
3 calls:
Slowest
8.0ms
(/ 1 (/ (expm1 x) (exp x)))
5.0ms
(/ (expm1 x) (exp x))
0.0ms
(expm1 x)

series116.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
50.0ms
(/ 1 (/ (expm1 x) (exp x)))
41.0ms
(/ (expm1 x) (exp x))
24.0ms
(expm1 x)

simplify6.6s

Counts
136 → 131
Calls
136 calls:
Slowest
518.0ms
(/ (* (* 1 1) 1) (* (* (/ (expm1 x) (exp x)) (/ (expm1 x) (exp x))) (/ (expm1 x) (exp x))))
427.0ms
(/ (* (* (expm1 x) (expm1 x)) (expm1 x)) (* (* (exp x) (exp x)) (exp x)))
415.0ms
(/ (sqrt 1) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))
325.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (expm1 x)) (cbrt (expm1 x))) (* (cbrt (exp x)) (cbrt (exp x)))))
312.0ms
(- (+ x (* 1/6 (pow x 3))) (* 1/2 (pow x 2)))

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
0.0b
(/ 1 (expm1 x))
0.0b
(/ 1 (exp x))
0.0b
(expm1 x)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
439×times-frac
217×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-exp-log
36×div-exp
31×div-inv
20×add-cbrt-cube
19×associate-/r* associate-/l*
10×cbrt-undiv rec-exp 1-exp
6×pow1
5×log1p-expm1-u pow-flip
4×expm1-log1p-u insert-posit16 add-log-exp
3×exp-prod clear-num frac-2neg
2×inv-pow
1×expm1-log1p associate-/r/ expm1-udef associate-/l/
Counts
4 → 313
Calls
4 calls:
Slowest
20.0ms
(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
6.0ms
(/ 1 (exp x))
4.0ms
(/ 1 (expm1 x))
0.0ms
(expm1 x)

series117.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
40.0ms
(/ (/ 1 (expm1 x)) (/ 1 (exp x)))
36.0ms
(/ 1 (expm1 x))
25.0ms
(expm1 x)
15.0ms
(/ 1 (exp x))

simplify32.9s

Counts
452 → 325
Calls
452 calls:
Slowest
1.3s
(/ (* (* (/ 1 (expm1 x)) (/ 1 (expm1 x))) (/ 1 (expm1 x))) (* (* (/ 1 (exp x)) (/ 1 (exp x))) (/ 1 (exp x))))
516.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ 1 (* (cbrt (exp x)) (cbrt (exp x)))))
513.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (* (cbrt (/ 1 (exp x))) (cbrt (/ 1 (exp x)))))
467.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (sqrt 1) (* (cbrt (exp x)) (cbrt (exp x)))))
441.0ms
(/ (/ (sqrt 1) (* (cbrt (expm1 x)) (cbrt (expm1 x)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (exp x)) (cbrt (exp x)))))

prune2.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.5s2244×body1280valid
1.0s2540×body10240exit
526.0ms1626×body640valid
193.0ms2906×body80valid
182.0ms808×body320valid
81.0ms418×body160valid