Details

Time bar (total: 11.3s)

sample99.0ms

Algorithm
intervals
Results
34.0ms67×body640valid
20.0ms59×body1280valid
20.0ms85×body10240exit
4.0ms90×body80valid
4.0ms25×body320valid
1.0ms15×body160valid

simplify22.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.3b

localize9.0ms

Local error

Found 2 expressions with local error:

1.0b
(/ (exp x) (- (exp x) 1.0))
4.8b
(- (exp x) 1.0)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
27.0ms
(/ (exp x) (- (exp x) 1.0))
18.0ms
(- (exp x) 1.0)

series61.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (exp x) (- (exp x) 1.0))
16.0ms
(- (exp x) 1.0)

simplify1.0s

Counts
57 → 57

prune173.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ (/ 1 x) (/ 1 2)) (/ x 12))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×distribute-lft-out
6×add-log-exp
4×frac-add div-inv
3×times-frac sum-log
2×flip3-+ flip-+
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ add-cbrt-cube
Counts
1 → 22
Calls
1 calls:
197.0ms
(+ (+ (/ 1 x) (/ 1 2)) (/ x 12))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ (+ (/ 1 x) (/ 1 2)) (/ x 12))

simplify1.5s

Counts
25 → 25

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x 2) x) (* 12 x))
9.4b
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt times-frac associate-/l* add-log-exp
2×pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/ distribute-lft-out
1×+-commutative distribute-rgt-out frac-2neg prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv
Counts
2 → 37
Calls
2 calls:
33.0ms
(+ (* (* x 2) x) (* 12 x))
268.0ms
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

series165.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(+ (* (* x 2) x) (* 12 x))
61.0ms
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

simplify681.0ms

Counts
43 → 43

prune90.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
4.7b
(- 1 (/ 1.0 (exp x)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
50.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
10.0ms
(/ 1.0 (exp x))
22.0ms
(- 1 (/ 1.0 (exp x)))

series151.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
31.0ms
(/ 1.0 (exp x))
53.0ms
(- 1 (/ 1.0 (exp x)))

simplify1.6s

Counts
106 → 106

prune251.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes109.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.5b

bsearch2.0ms

simplify1.8s

end0.0ms

sample2.7s

Algorithm
intervals
Results
712.0ms2186×body1280valid
647.0ms2464×body10240exit
537.0ms839×body320valid
426.0ms1693×body640valid
103.0ms2870×body80valid
33.0ms414×body160valid