Details

Time bar (total: 1.3m)

sample35.0ms

Algorithm
intervals
Results
25.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

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
28.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms
(/ x (+ x 1))
8.0ms
(/ 1 (- x 1))

series163.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
99.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
39.0ms
(/ x (+ x 1))
25.0ms
(/ 1 (- x 1))

simplify3.7s

Counts
113 → 112
Calls
113 calls:
Slowest
284.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
276.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
271.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
255.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
254.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune806.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite444.0ms

Algorithm
rewrite-expression-head
Rules
81×frac-times
79×*-un-lft-identity
51×flip3-+ flip-+
48×frac-add
44×times-frac
33×add-sqr-sqrt
32×add-cube-cbrt
27×associate-*l/
23×pow1
20×distribute-lft-out
15×add-cbrt-cube associate-*r/ add-exp-log
12×associate-/r*
9×associate-*r* associate-/l*
6×pow-plus associate-/r/ pow-prod-up
4×insert-posit16 div-inv add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp cbrt-unprod
2×pow2 pow-sqr distribute-lft-out--
1×distribute-rgt-in distribute-lft-in associate-*l* pow3 *-commutative unswap-sqr
Counts
4 → 202
Calls
4 calls:
Slowest
419.0ms
(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
7.0ms
(/ x (+ x 1))
7.0ms
(/ x (+ x 1))
7.0ms
(/ x (+ x 1))

series209.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
117.0ms
(* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))
40.0ms
(/ x (+ x 1))
28.0ms
(/ x (+ x 1))
24.0ms
(/ x (+ x 1))

simplify43.7s

Counts
255 → 214
Calls
255 calls:
Slowest
918.0ms
(* (* (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1)))))
888.0ms
(* (* (+ (* 1 (+ x 1)) (* (- x 1) x)) (- (* (/ 1 (- x 1)) (/ 1 (- x 1))) (* (/ x (+ x 1)) (/ x (+ x 1))))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3)))
717.0ms
(* (* (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1))))) (* (* (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))) (+ (/ 1 (- x 1)) (/ x (+ x 1)))))
685.0ms
(* (* (- x 1) (+ x 1)) (* (- x 1) (+ x 1)))
653.0ms
(* (* (+ (* 1 (+ x 1)) (* (- x 1) x)) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3))) (+ (pow (/ 1 (- x 1)) 3) (pow (/ x (+ x 1)) 3)))

prune2.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (- x 1)) (/ 1 (- x 1)))
0.0b
(* (/ x (+ x 1)) (/ x (+ x 1)))
0.0b
(- (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(/ x (+ x 1))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
244×*-un-lft-identity
214×add-sqr-sqrt
211×times-frac
101×add-cube-cbrt
65×swap-sqr
58×add-exp-log
45×associate-*r* associate-*l*
36×difference-of-squares
30×add-cbrt-cube
26×pow1 distribute-lft-out--
24×distribute-lft-out
21×div-exp
20×prod-exp
18×difference-of-sqr-1 associate-/r/
13×unswap-sqr
12×div-inv
9×cbrt-undiv
8×rec-exp 1-exp cbrt-unprod pow-flip inv-pow
6×pow-prod-up add-log-exp
5×flip3-+ flip3-- flip-+ flip--
4×associate-/r* pow-prod-down pow-sqr insert-posit16
3×associate-/l*
2×pow2 frac-times pow-plus associate-*l/ associate-*r/ *-commutative
1×clear-num sub-neg frac-2neg diff-log un-div-inv frac-sub
Counts
4 → 299
Calls
4 calls:
Slowest
56.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
38.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
38.0ms
(* (/ 1 (- x 1)) (/ 1 (- x 1)))
10.0ms
(/ x (+ x 1))

series177.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(- (/ 1 (- x 1)) (/ x (+ x 1)))
38.0ms
(/ x (+ x 1))
29.0ms
(* (/ x (+ x 1)) (/ x (+ x 1)))
20.0ms
(* (/ 1 (- x 1)) (/ 1 (- x 1)))

simplify20.8s

Counts
377 → 311
Calls
377 calls:
Slowest
566.0ms
(* (/ 1 (- (* x x) (* 1 1))) (/ 1 (- (* x x) (* 1 1))))
517.0ms
(* (/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1))) (* (* (/ 1 (- x 1)) (/ 1 (- x 1))) (/ 1 (- x 1))))
502.0ms
(- (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))) 1)
452.0ms
(- (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))) 1)
452.0ms
(+ (* 2 (/ 1 (pow x 3))) (+ (* 3 (/ 1 (pow x 4))) (/ 1 (pow x 2))))

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample897.0ms

Algorithm
intervals
Results
786.0ms8000×body80valid