Details

Time bar (total: 6.2s)

sample49.0ms

Algorithm
intervals
Results
19.0ms82×body1280valid
12.0ms106×body10240exit
5.0ms46×body640valid
2.0ms26×body320valid
2.0ms86×body80valid
1.0ms16×body160valid

simplify13.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.2b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (exp x) (- (exp x) 1.0))
4.4b
(- (exp x) 1.0)

rewrite27.0ms

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:
16.0ms
(/ (exp x) (- (exp x) 1.0))
9.0ms
(- (exp x) 1.0)

series49.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (exp x) (- (exp x) 1.0))
23.0ms
(- (exp x) 1.0)

simplify601.0ms

Counts
57 → 57

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
18×distribute-lft-out
9×times-frac add-log-exp
8×div-inv
5×frac-add
4×add-sqr-sqrt add-cube-cbrt sum-log
3×flip3-+ flip-+
2×pow1 add-exp-log +-commutative add-cbrt-cube
1×associate-+l+
Counts
2 → 41
Calls
2 calls:
20.0ms
(+ (/ 1 x) (/ 1 2))
126.0ms
(+ (+ (/ 1 x) (/ 1 2)) (/ x 12))

series28.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (/ 1 x) (/ 1 2))
15.0ms
(+ (+ (/ 1 x) (/ 1 2)) (/ x 12))

simplify1.1s

Counts
47 → 47

prune65.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (* (* x 2) x) (* 12 x))
10.8b
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

rewrite197.0ms

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:
16.0ms
(+ (* (* x 2) x) (* 12 x))
181.0ms
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

series106.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* (* x 2) x) (* 12 x))
40.0ms
(/ (+ (+ (* (* x 2) x) (* 12 x)) 24) (* x 24))

simplify430.0ms

Counts
43 → 43

prune70.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b
(/ 1.0 (exp x))
4.5b
(- 1 (/ 1.0 (exp x)))

rewrite54.0ms

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:
29.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(/ 1.0 (exp x))
17.0ms
(- 1 (/ 1.0 (exp x)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
13.0ms
(/ 1.0 (exp x))
37.0ms
(- 1 (/ 1.0 (exp x)))

simplify1.1s

Counts
106 → 106

prune131.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

95.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 21.3b

bsearch1.0ms

simplify23.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
762.0ms2269×body1280valid
400.0ms2481×body10240exit
183.0ms1626×body640valid
89.0ms823×body320valid
64.0ms2854×body80valid
20.0ms429×body160valid