Details

Time bar (total: 1.2m)

sample38.0ms

Algorithm
intervals
Results
14.0ms66×body640valid
7.0ms129×body80valid
6.0ms41×body320valid
2.0ms20×body160valid

simplify19.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
18.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize12.0ms

Local error

Found 3 expressions with local error:

3.3b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite91.0ms

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
57.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (- x 1))
15.0ms
(/ 1 (+ x 1))

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
94.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
21.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify8.4s

Counts
182 → 137
Calls
182 calls:
Slowest
569.0ms
(* (* (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1)))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))))
500.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
423.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
384.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
321.0ms
(+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x)))

prune982.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -2 (* (+ x 1) (- x 1)))
0.0b
(* (+ x 1) (- x 1))

rewrite62.0ms

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
43.0ms
(* (+ x 1) (- x 1))
12.0ms
(/ -2 (* (+ x 1) (- x 1)))

series209.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
131.0ms
(* (+ x 1) (- x 1))
78.0ms
(/ -2 (* (+ x 1) (- x 1)))

simplify16.5s

Counts
84 → 72
Calls
84 calls:
Slowest
1.0s
(/ -2 (* (+ x 1) (- (* x x) (* 1 1))))
988.0ms
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))
593.0ms
(* (+ x 1) (- (* x x) (* 1 1)))
579.0ms
(* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))
576.0ms
(/ -2 (* (+ (pow x 3) (pow 1 3)) (- (pow x 3) (pow 1 3))))

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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
32.0ms
(/ (/ -2 (+ x 1)) (- x 1))
14.0ms
(/ -2 (+ x 1))

series110.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
85.0ms
(/ (/ -2 (+ x 1)) (- x 1))
25.0ms
(/ -2 (+ x 1))

simplify35.1s

Counts
349 → 209
Calls
349 calls:
Slowest
660.0ms
(/ (- x 1) (/ -2 (+ x 1)))
620.0ms
(/ (/ -2 (+ x 1)) (- (* x x) (* 1 1)))
560.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
488.0ms
(/ (/ -2 (+ (pow x 3) (pow 1 3))) (sqrt (- x 1)))
417.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -2 (+ (* x x) -1))
0.0b
(+ (* x x) -1)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×difference-of-sqr--1
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 47
Calls
2 calls:
Slowest
19.0ms
(/ -2 (+ (* x x) -1))
12.0ms
(+ (* x x) -1)

series112.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
58.0ms
(/ -2 (+ (* x x) -1))
54.0ms
(+ (* x x) -1)

simplify7.7s

Counts
68 → 53
Calls
68 calls:
Slowest
639.0ms
(- (* (* x x) (* x x)) (* -1 -1))
466.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
435.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
334.0ms
(+ (* (* x x) (* x x)) (- (* -1 -1) (* (* x x) -1)))
324.0ms
(/ -2 (+ (pow (* x x) 3) (pow -1 3)))

prune338.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
840.0ms4242×body80valid
634.0ms1855×body640valid
321.0ms1308×body320valid
120.0ms595×body160valid