Details

Time bar (total: 15.5s)

sample57.0ms

Algorithm
intervals
Results
21.0ms58×body640valid
13.0ms142×body80valid
9.0ms36×body320valid
4.0ms20×body160valid

simplify32.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

Local error

Found 2 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite58.0ms

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
36.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
10.0ms
(/ 1 (+ x 1))

series38.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify735.0ms

Counts
333 → 333

prune2.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

2.4b
(- x (+ x 1))
0.0b
(/ (- x (+ x 1)) (* (+ x 1) x))
0.0b
(* (+ x 1) x)

rewrite101.0ms

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
48.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
27.0ms
(* (+ x 1) x)
24.0ms
(- x (+ x 1))

series92.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
52.0ms
(* (+ x 1) x)
30.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
10.0ms
(- x (+ x 1))

simplify1.7s

Counts
103 → 103

prune777.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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
21.0ms
(/ (/ -1 (+ 1 x)) x)
7.0ms
(/ -1 (+ 1 x))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
29.0ms
(/ (/ -1 (+ 1 x)) x)
15.0ms
(/ -1 (+ 1 x))

simplify1.2s

Counts
135 → 135

prune904.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))
0.2b
(cbrt (+ 1 x))
0.2b
(cbrt (+ 1 x))
0.2b
(cbrt (+ 1 x))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
268×cbrt-prod
232×times-frac
213×add-sqr-sqrt *-un-lft-identity
123×add-cube-cbrt
60×swap-sqr
48×associate-*r* associate-*l*
39×distribute-lft-out
25×unswap-sqr
16×add-exp-log
14×cbrt-div
11×pow1
8×add-cbrt-cube associate-/r/
7×flip3-+ flip-+
4×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 259
Calls
4 calls:
Slowest
69.0ms
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))

series310.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))
69.0ms
(cbrt (+ 1 x))
62.0ms
(cbrt (+ 1 x))
50.0ms
(cbrt (+ 1 x))

simplify1.7s

Counts
271 → 271

prune2.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s1901×body640valid
344.0ms4169×body80valid
294.0ms1260×body320valid
123.0ms671×body160valid