Details

Time bar (total: 18.2s)

sample46.0ms

Algorithm
intervals
Results
12.0ms45×body640valid
12.0ms53×body320valid
11.0ms142×body80valid
2.0ms16×body160valid

simplify17.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize16.0ms

Local error

Found 3 expressions with local error:

3.6b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
850×*-un-lft-identity
783×times-frac
710×add-sqr-sqrt
486×prod-diff
454×add-cube-cbrt
125×difference-of-squares
98×associate-/r/
94×distribute-lft-out
81×distribute-lft-out--
58×difference-of-sqr-1
52×div-inv
30×flip-+
29×flip3-+
21×flip--
20×flip3--
18×fma-neg
11×associate-/r* add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×pow1 add-log-exp
4×div-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
1×sub-neg diff-log frac-sub
Counts
3 → 638
Calls
3 calls:
Slowest
100.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (- x 1))
11.0ms
(/ 1 (+ x 1))

series146.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
110.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
22.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify791.0ms

Counts
647 → 647

prune6.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (- x 1) x)
0.7b
(/ (- (- (- x 1) x) 1) (* (+ x 1) (- x 1)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
47×add-sqr-sqrt
30×prod-diff
21×add-cube-cbrt
19×distribute-lft-out--
13×difference-of-squares
11×associate--l+
9×times-frac associate-/l*
8×associate-/r/
7×add-cbrt-cube fma-neg add-exp-log add-log-exp
6×difference-of-sqr-1
5×flip3-- flip--
4×frac-times
3×flip3-+ diff-log flip-+
2×expm1-log1p-u pow1 cbrt-undiv sub-neg div-exp associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u associate-/l/
1×associate--l- clear-num associate-/r* frac-2neg div-sub prod-exp cbrt-unprod div-inv
Counts
2 → 106
Calls
2 calls:
Slowest
314.0ms
(/ (- (- (- x 1) x) 1) (* (+ x 1) (- x 1)))
36.0ms
(- (- x 1) x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(/ (- (- (- x 1) x) 1) (* (+ x 1) (- x 1)))
10.0ms
(- (- x 1) x)

simplify3.9s

Counts
112 → 112

prune735.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -2 (+ x 1)) (- x 1))
0.0b
(/ -2 (+ x 1))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 207
Calls
2 calls:
Slowest
18.0ms
(/ (/ -2 (+ x 1)) (- x 1))
13.0ms
(/ -2 (+ x 1))

series62.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ (/ -2 (+ x 1)) (- x 1))
16.0ms
(/ -2 (+ x 1))

simplify791.0ms

Counts
213 → 213

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ -2 (fma x x -1))

rewrite8.0ms

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-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
7.0ms
(/ -2 (fma x x -1))

series76.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
76.0ms
(/ -2 (fma x x -1))

simplify959.0ms

Counts
33 → 33

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s1853×body640valid
390.0ms4178×body80valid
381.0ms1322×body320valid
135.0ms647×body160valid