Details

Time bar (total: 52.5s)

sample74.0ms

Algorithm
intervals
Results
25.0ms61×body640valid
20.0ms39×body320valid
14.0ms136×body80valid
4.0ms20×body160valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize13.0ms

Local error

Found 3 expressions with local error:

2.6b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
7×add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×pow1 add-log-exp
4×difference-of-sqr-1 div-exp
3×insert-posit16 flip--
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
Slowest
56.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (+ x 1))
8.0ms
(/ 1 (- x 1))

series110.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms
(/ 1 (+ x 1))
22.0ms
(/ 1 (- x 1))

simplify5.3s

Counts
153 → 137
Calls
153 calls:
Slowest
456.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
407.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
394.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
306.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
269.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune902.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ -2 (* (+ x 1) (- x 1)))
0.0b
(* (+ x 1) (- x 1))

rewrite47.0ms

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×associate-*r*
6×flip3-+ flip3-- add-cube-cbrt flip-+ flip--
4×pow1 associate-*l* associate-*l/ associate-*r/
3×times-frac associate-/l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod insert-posit16 add-log-exp difference-of-squares
1×clear-num associate-/r* frac-2neg 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
31.0ms
(* (+ x 1) (- x 1))
14.0ms
(/ -2 (* (+ x 1) (- x 1)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
126.0ms
(* (+ x 1) (- x 1))
58.0ms
(/ -2 (* (+ x 1) (- x 1)))

simplify8.7s

Counts
57 → 72
Calls
57 calls:
Slowest
1.1s
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))
803.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
559.0ms
(* (+ (pow x 3) (pow 1 3)) (- (pow x 3) (pow 1 3)))
545.0ms
(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
529.0ms
(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))

prune604.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -2 (+ x 1)) (- x 1))
0.0b
(/ -2 (+ x 1))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
207×*-un-lft-identity
170×add-sqr-sqrt
94×add-cube-cbrt
38×difference-of-squares
28×distribute-lft-out
21×associate-/l*
20×associate-/r/
19×difference-of-sqr-1 distribute-lft-out--
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube add-exp-log flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 203
Calls
2 calls:
Slowest
25.0ms
(/ (/ -2 (+ x 1)) (- x 1))
7.0ms
(/ -2 (+ x 1))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
65.0ms
(/ (/ -2 (+ x 1)) (- x 1))
25.0ms
(/ -2 (+ x 1))

simplify26.6s

Counts
321 → 209
Calls
321 calls:
Slowest
475.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
459.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
443.0ms
(/ (/ (* (cbrt -2) (cbrt -2)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))
400.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
384.0ms
(/ (/ -2 (+ (pow x 3) (pow 1 3))) (sqrt (- x 1)))

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
0.2b
(cbrt (+ x 1))
0.2b
(cbrt (+ x 1))
0.2b
(cbrt (+ x 1))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 99
Calls
4 calls:
Slowest
22.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
5.0ms
(cbrt (+ x 1))
4.0ms
(cbrt (+ x 1))
2.0ms
(cbrt (+ x 1))

series177.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
52.0ms
(cbrt (+ x 1))
47.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
39.0ms
(cbrt (+ x 1))
39.0ms
(cbrt (+ x 1))

simplify4.9s

Counts
94 → 111
Calls
94 calls:
Slowest
261.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
255.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
254.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
238.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
226.0ms
(* (cbrt (- (* x x) (* 1 1))) (cbrt (+ (pow x 3) (pow 1 3))))

prune1.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch1.0ms

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s1945×body640valid
362.0ms4207×body80valid
302.0ms1207×body320valid
135.0ms641×body160valid