Details

Time bar (total: 25.2s)

sample33.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify24.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))

rewrite75.0ms

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:
Slowest
44.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
15.0ms
(/ 1 (- x 1))
15.0ms
(/ x (+ x 1))

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
27.0ms
(/ x (+ x 1))
23.0ms
(/ 1 (- x 1))

simplify3.4s

Counts
113 → 112
Calls
113 calls:
Slowest
296.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
236.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
235.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
226.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
186.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune673.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

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:
Slowest
33.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
25.0ms
(/ (+ x 1) x)
20.0ms
(/ 1 (/ (+ x 1) x))
18.0ms
(/ 1 (- x 1))

series194.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
92.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
57.0ms
(/ (+ x 1) x)
29.0ms
(/ 1 (/ (+ x 1) x))
16.0ms
(/ 1 (- x 1))

simplify9.1s

Counts
241 → 208
Calls
241 calls:
Slowest
468.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
332.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))
327.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
302.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
296.0ms
(* (- x 1) (/ (+ x 1) x))

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
72×times-frac
54×add-sqr-sqrt
44×distribute-lft-out
38×add-cube-cbrt
17×div-inv
13×distribute-lft-out--
12×associate-/r* add-exp-log
8×add-cbrt-cube add-log-exp difference-of-squares
6×pow1 associate-/l*
4×difference-of-sqr-1 div-exp associate-/r/ insert-posit16
3×flip3-+ flip-+
2×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg 1-exp pow-flip inv-pow
1×flip3-- frac-add flip--
Counts
4 → 141
Calls
4 calls:
Slowest
79.0ms
(+ (/ 1 (- x 1)) (/ 1 (+ (/ 1 x) 1)))
16.0ms
(+ (/ 1 x) 1)
16.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (+ (/ 1 x) 1))

series103.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
44.0ms
(+ (/ 1 (- x 1)) (/ 1 (+ (/ 1 x) 1)))
24.0ms
(/ 1 (- x 1))
17.0ms
(+ (/ 1 x) 1)
17.0ms
(/ 1 (+ (/ 1 x) 1))

simplify4.9s

Counts
158 → 153
Calls
158 calls:
Slowest
496.0ms
(/ (* (* 1 1) 1) (* (* (+ (/ 1 x) 1) (+ (/ 1 x) 1)) (+ (/ 1 x) 1)))
434.0ms
(+ (* 1 (+ (/ 1 x) 1)) (* (- x 1) 1))
281.0ms
(* (- x 1) (+ (/ 1 x) 1))
276.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
230.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
20×times-frac
17×distribute-lft-out
13×add-sqr-sqrt add-cube-cbrt
6×div-inv
5×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×flip3-+ flip-+
2×pow1 associate-/r/ insert-posit16 associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp
Counts
2 → 59
Calls
2 calls:
Slowest
72.0ms
(/ (+ (/ 1 x) x) (+ x (/ -1 x)))
11.0ms
(+ x (/ -1 x))

series115.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
73.0ms
(/ (+ (/ 1 x) x) (+ x (/ -1 x)))
42.0ms
(+ x (/ -1 x))

simplify2.0s

Counts
60 → 65
Calls
60 calls:
Slowest
241.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
207.0ms
(/ (* (* (+ (/ 1 x) x) (+ (/ 1 x) x)) (+ (/ 1 x) x)) (* (* (+ x (/ -1 x)) (+ x (/ -1 x))) (+ x (/ -1 x))))
194.0ms
(+ (pow (/ 1 x) 3) (pow x 3))
151.0ms
(- (* (/ 1 x) (/ 1 x)) (* x x))
122.0ms
(+ (* x x) (- (* (/ -1 x) (/ -1 x)) (* x (/ -1 x))))

prune438.0ms

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

bsearch2.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
653.0ms8000×body80valid