Details

Time bar (total: 32.9s)

sample36.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify25.0ms

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

prune14.0ms

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))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
Slowest
64.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
20.0ms
(/ 1 (- x 1))
15.0ms
(/ x (+ x 1))

series99.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
61.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
23.0ms
(/ x (+ x 1))
14.0ms
(/ 1 (- x 1))

simplify4.7s

Counts
138 → 145
Calls
138 calls:
Slowest
336.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
319.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
278.0ms
(+ (* 1 (+ x 1)) (* (- x 1) x))
277.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
250.0ms
(- (+ x (pow x 3)) (pow x 2))

prune1.1s

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))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
89×add-cube-cbrt
27×fma-def
26×associate-/r* distribute-lft-out
21×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
12×div-inv
10×div-exp associate-/l* distribute-lft-out--
7×difference-of-sqr-1
6×pow1 add-log-exp
5×cbrt-undiv associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp
2×flip3-+ flip3-- flip-+ pow-flip flip-- inv-pow associate-/l/
1×+-commutative sum-log frac-add
Counts
4 → 231
Calls
4 calls:
Slowest
40.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
19.0ms
(/ 1 (- x 1))
13.0ms
(/ 1 (/ (+ x 1) x))
13.0ms
(/ (+ x 1) x)

series237.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
79.0ms
(/ (+ x 1) x)
35.0ms
(/ 1 (/ (+ x 1) x))
28.0ms
(/ 1 (- x 1))

simplify10.6s

Counts
266 → 243
Calls
266 calls:
Slowest
469.0ms
(/ (* (* 1 1) 1) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x)))
420.0ms
(* (- x 1) (/ (+ x 1) x))
388.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
324.0ms
(/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x))))
323.0ms
(/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* x x) x))

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

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))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
147×*-un-lft-identity
102×times-frac
84×add-sqr-sqrt
56×add-cube-cbrt
44×distribute-lft-out
40×fma-def
19×div-inv
16×distribute-lft-out--
14×difference-of-squares
12×associate-/r* add-exp-log
8×add-cbrt-cube add-log-exp
7×difference-of-sqr-1
6×pow1 associate-/r/ associate-/l*
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
3×flip3-+ flip-+
2×cbrt-undiv +-commutative rec-exp clear-num sum-log frac-2neg flip3-- 1-exp pow-flip flip-- inv-pow
1×frac-add
Counts
4 → 189
Calls
4 calls:
Slowest
60.0ms
(+ (/ 1 (- x 1)) (/ 1 (+ (/ 1 x) 1)))
26.0ms
(/ 1 (+ (/ 1 x) 1))
9.0ms
(+ (/ 1 x) 1)
8.0ms
(/ 1 (- x 1))

series117.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(+ (/ 1 (- x 1)) (/ 1 (+ (/ 1 x) 1)))
24.0ms
(/ 1 (- x 1))
20.0ms
(+ (/ 1 x) 1)
17.0ms
(/ 1 (+ (/ 1 x) 1))

simplify6.5s

Counts
194 → 201
Calls
194 calls:
Slowest
658.0ms
(/ (* (* 1 1) 1) (* (* (+ (/ 1 x) 1) (+ (/ 1 x) 1)) (+ (/ 1 x) 1)))
470.0ms
(+ (* 1 (+ (/ 1 x) 1)) (* (- x 1) 1))
404.0ms
(* (- x 1) (+ (/ 1 x) 1))
346.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
311.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
46×add-sqr-sqrt
38×times-frac
21×add-cube-cbrt
13×fma-def
10×difference-of-squares
8×distribute-lft-out
6×associate-/l*
5×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
2×expm1-log1p-u pow1 flip3-+ associate-/r/ flip-+ insert-posit16 log1p-expm1-u div-inv associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-sub div-exp flip--
Counts
2 → 82
Calls
2 calls:
Slowest
52.0ms
(/ (- x (/ -1 x)) (+ (/ -1 x) x))
17.0ms
(+ (/ -1 x) x)

series106.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
57.0ms
(/ (- x (/ -1 x)) (+ (/ -1 x) x))
48.0ms
(+ (/ -1 x) x)

simplify4.2s

Counts
82 → 88
Calls
82 calls:
Slowest
802.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
334.0ms
(- (* x x) (* (/ -1 x) (/ -1 x)))
325.0ms
(- (pow x 3) (pow (/ -1 x) 3))
208.0ms
(/ (* (* (- x (/ -1 x)) (- x (/ -1 x))) (- x (/ -1 x))) (* (* (+ (/ -1 x) x) (+ (/ -1 x) x)) (+ (/ -1 x) x)))
140.0ms
(+ (* (/ -1 x) (/ -1 x)) (- (* x x) (* (/ -1 x) x)))

prune519.0ms

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

bsearch3.0ms

end0.0ms

sample863.0ms

Algorithm
intervals
Results
738.0ms8000×body80valid