Details

Time bar (total: 17.4s)

sample38.0ms

Algorithm
intervals
Results
18.0ms68×body640valid
6.0ms121×body80valid
6.0ms44×body320valid
2.0ms23×body160valid

simplify18.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

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
73.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

series50.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify903.0ms

Counts
333 → 333

prune2.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

1.0b
(- x (+ x 1))
0.0b
(/ (- x (+ x 1)) (* (+ x 1) x))
0.0b
(* (+ x 1) x)

rewrite90.0ms

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
62.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
14.0ms
(* (+ x 1) x)
12.0ms
(- x (+ x 1))

series87.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(* (+ x 1) x)
26.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
7.0ms
(- x (+ x 1))

simplify2.0s

Counts
103 → 103

prune593.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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
14.0ms
(/ -1 (+ 1 x))
14.0ms
(/ (/ -1 (+ 1 x)) x)

series47.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(/ -1 (+ 1 x))
23.0ms
(/ (/ -1 (+ 1 x)) x)

simplify1.5s

Counts
135 → 135

prune797.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ -1 (- (* 1 1) (* x x)))
0.0b
(/ (/ -1 (- (* 1 1) (* x x))) (/ x (- 1 x)))
0.0b
(- (* 1 1) (* x x))
0.0b
(/ x (- 1 x))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
1104×times-frac
597×add-sqr-sqrt *-un-lft-identity
414×add-cube-cbrt
202×difference-of-squares
93×associate-/r/
61×distribute-lft-out--
47×flip3-- div-inv flip--
34×associate-/r*
24×associate-/l*
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
6×add-log-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×clear-num frac-2neg
1×sub-neg fma-neg diff-log prod-diff associate-/l/
Counts
4 → 595
Calls
4 calls:
Slowest
39.0ms
(/ (/ -1 (- (* 1 1) (* x x))) (/ x (- 1 x)))
23.0ms
(/ -1 (- (* 1 1) (* x x)))
17.0ms
(- (* 1 1) (* x x))
16.0ms
(/ x (- 1 x))

series223.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
69.0ms
(/ (/ -1 (- (* 1 1) (* x x))) (/ x (- 1 x)))
67.0ms
(- (* 1 1) (* x x))
50.0ms
(/ -1 (- (* 1 1) (* x x)))
36.0ms
(/ x (- 1 x))

simplify1.7s

Counts
607 → 607

prune5.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
485.0ms1983×body640valid
322.0ms4194×body80valid
294.0ms1223×body320valid
95.0ms600×body160valid