Details

Time bar (total: 23.9s)

sample28.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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
31.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
8.0ms
(/ 1 (- x 1))
7.0ms
(/ x (+ x 1))

series150.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
99.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
30.0ms
(/ x (+ x 1))
21.0ms
(/ 1 (- x 1))

simplify4.4s

Counts
113 → 112
Calls
113 calls:
Slowest
430.0ms
(- (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 1)))
349.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
311.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))
272.0ms
(/ (* (* x x) x) (* (* (+ x 1) (+ x 1)) (+ x 1)))
249.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune772.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x 1))
0.3b
(cbrt (- x 1))
0.3b
(cbrt (- x 1))
0.3b
(* (cbrt (- x 1)) (cbrt (- x 1)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
61×cbrt-prod
55×add-sqr-sqrt
44×*-un-lft-identity
18×cbrt-div
16×difference-of-squares
15×add-cube-cbrt
14×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-- pow1/3 difference-of-sqr-1 flip-- distribute-lft-out--
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 119
Calls
4 calls:
Slowest
36.0ms
(* (cbrt (- x 1)) (cbrt (- x 1)))
11.0ms
(cbrt (- x 1))
5.0ms
(cbrt (- x 1))
3.0ms
(cbrt (- x 1))

series301.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
86.0ms
(* (cbrt (- x 1)) (cbrt (- x 1)))
83.0ms
(cbrt (- x 1))
74.0ms
(cbrt (- x 1))
58.0ms
(cbrt (- x 1))

simplify6.8s

Counts
119 → 131
Calls
119 calls:
Slowest
369.0ms
(- (* (pow (* x -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow x 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow x 2)) 1/3) (cbrt -1)))))
363.0ms
(- (* (pow (* x -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow x 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow x 2)) 1/3) (cbrt -1)))))
349.0ms
(* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- x 1)))
348.0ms
(* (cbrt (- (pow x 3) (pow 1 3))) (cbrt (- (pow x 3) (pow 1 3))))
341.0ms
(- (* (pow (* x -1) 1/3) (cbrt -1)) (+ (* 1/9 (* (pow (/ -1 (pow x 5)) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ -1 (pow x 2)) 1/3) (cbrt -1)))))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

15.6b
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
0.0b
(* (- x 1) (+ x 1))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×flip3-+ associate-*l* flip-+
6×flip3-- add-cube-cbrt flip--
4×pow1 associate-*r* associate-*l/ associate-*r/
3×times-frac associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp difference-of-squares associate-/l/
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in difference-of-sqr-1 pow-prod-down *-commutative div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
2 → 66
Calls
2 calls:
Slowest
48.0ms
(* (- x 1) (+ x 1))
45.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
107.0ms
(/ (+ 1 (* x x)) (* (- x 1) (+ x 1)))
96.0ms
(* (- x 1) (+ x 1))

simplify7.9s

Counts
57 → 72
Calls
57 calls:
Slowest
961.0ms
(* (* (* (- x 1) (- x 1)) (- x 1)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
604.0ms
(/ (* (* (+ 1 (* x x)) (+ 1 (* x x))) (+ 1 (* x x))) (* (* (* (- x 1) (+ x 1)) (* (- x 1) (+ x 1))) (* (- x 1) (+ x 1))))
498.0ms
(* (- (* x x) (* 1 1)) (- (* x x) (* 1 1)))
460.0ms
(* (+ x 1) (+ (* x x) (- (* 1 1) (* x 1))))
439.0ms
(- (log (+ 1 (* x x))) (log (* (- x 1) (+ x 1))))

prune471.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.2s8000×body80valid