Details

Time bar (total: 16.2s)

sample32.0ms

Algorithm
intervals
Results
9.0ms45×body640valid
7.0ms54×body320valid
7.0ms142×body80valid
1.0ms15×body160valid

simplify26.0ms

Counts
1 → 1

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize20.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
370×*-un-lft-identity
366×times-frac
277×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
37×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
10×distribute-lft-out--
9×difference-of-squares
6×add-exp-log
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 327
Calls
2 calls:
Slowest
68.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

series48.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
27.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
21.0ms
(/ 1 (+ x 1))

simplify814.0ms

Counts
333 → 333

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

3.4b
(- x (+ x 1))
0.0b
(* (+ x 1) x)
0.0b
(/ (- x (+ x 1)) (* (+ x 1) x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
12×prod-diff
10×add-cbrt-cube add-exp-log
8×add-log-exp
7×distribute-lft-out
6×times-frac associate-/l* distribute-lft-out--
5×pow1
4×associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* insert-posit16 log1p-expm1-u difference-of-squares
2×cbrt-undiv flip3-+ flip3-- diff-log div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×clear-num associate-/r* sum-log sub-neg frac-2neg div-sub pow-prod-down *-commutative div-inv associate--r+ unswap-sqr
Counts
3 → 94
Calls
3 calls:
Slowest
53.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
20.0ms
(- x (+ x 1))
14.0ms
(* (+ x 1) x)

series93.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
66.0ms
(* (+ x 1) x)
20.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
7.0ms
(- x (+ x 1))

simplify1.8s

Counts
103 → 103

prune698.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
16×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 129
Calls
2 calls:
Slowest
25.0ms
(/ (/ -1 (+ 1 x)) x)
7.0ms
(/ -1 (+ 1 x))

series51.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
26.0ms
(/ -1 (+ 1 x))
25.0ms
(/ (/ -1 (+ 1 x)) x)

simplify1.6s

Counts
135 → 135

prune906.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ -1 (fma x x x))

rewrite9.0ms

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
8.0ms
(/ -1 (fma x x x))

series50.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
50.0ms
(/ -1 (fma x x x))

simplify4.9s

Counts
33 → 33

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
965.0ms1852×body640valid
355.0ms1324×body320valid
309.0ms4179×body80valid
120.0ms647×body160valid