Details

Time bar (total: 10.0s)

sample20.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
07

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Counts
3 → 103
Calls
3 calls:
11.0ms
(/ x (+ x 1))
53.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms
(/ 1 (- x 1))

series135.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (+ x 1))
82.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
20.0ms
(/ 1 (- x 1))

simplify1.3s

Counts
112 → 112
Iterations
IterNodes
done5001
22025
1408
0170

prune327.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
141×*-un-lft-identity times-frac
94×add-sqr-sqrt
78×add-cube-cbrt
26×associate-/r* distribute-lft-out
21×add-exp-log
13×add-cbrt-cube
11×div-inv
10×div-exp associate-/l*
8×difference-of-squares
7×distribute-lft-out--
6×pow1 add-log-exp
5×cbrt-undiv
4×difference-of-sqr-1 insert-posit16
3×rec-exp clear-num frac-2neg 1-exp associate-/r/
2×flip3-+ flip-+ pow-flip inv-pow associate-/l/
1×+-commutative sum-log flip3-- frac-add flip--
Counts
4 → 196
Calls
4 calls:
19.0ms
(/ (+ x 1) x)
50.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
12.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (/ (+ x 1) x))

series175.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (+ x 1) x)
72.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
16.0ms
(/ 1 (- x 1))
33.0ms
(/ 1 (/ (+ x 1) x))

simplify2.4s

Counts
208 → 208
Iterations
IterNodes
done5002
23736
1688
0262

prune593.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
300×times-frac
247×*-un-lft-identity
157×add-sqr-sqrt
156×add-cube-cbrt
81×frac-times
48×associate-/r* flip3-+ frac-add flip-+
46×distribute-lft-out
42×add-exp-log
27×associate-*l/
26×pow1
24×add-cbrt-cube
21×div-exp
19×div-inv
15×associate-*r/
13×associate-*r*
9×cbrt-undiv associate-/l*
6×rec-exp pow-plus 1-exp pow-prod-up
4×insert-posit16 add-log-exp
3×clear-num frac-2neg pow-prod-down prod-exp associate-/r/ cbrt-unprod pow-flip distribute-lft-out-- inv-pow
2×pow2 pow-sqr
1×distribute-rgt-in distribute-lft-in associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 371
Calls
4 calls:
312.0ms
(* (* (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x))) (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))) (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x))))
12.0ms
(/ 1 (/ (+ x 1) x))
10.0ms
(/ 1 (/ (+ x 1) x))
10.0ms
(/ 1 (/ (+ x 1) x))

series190.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x))) (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))) (+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x))))
23.0ms
(/ 1 (/ (+ x 1) x))
28.0ms
(/ 1 (/ (+ x 1) x))
24.0ms
(/ 1 (/ (+ x 1) x))

simplify1.8s

Counts
383 → 383
Iterations
IterNodes
done5000
11286
0329

prune1.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample725.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid