Details

Time bar (total: 19.5s)

sample48.0ms

Algorithm
intervals
Results
15.0ms49×body640valid
12.0ms143×body80valid
9.0ms39×body320valid
4.0ms25×body160valid

simplify13.0ms

Calls
1 calls:
Slowest
13.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize34.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
7×add-sqr-sqrt
6×associate-/r* associate-/r/ div-inv
5×pow1 add-exp-log add-cube-cbrt distribute-lft-out-- add-log-exp
3×add-cbrt-cube insert-posit16 flip--
2×rec-exp clear-num frac-2neg flip3-- flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub difference-of-squares
Calls
3 calls:
Slowest
11.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
2.0ms
(/ 1 (- x 1))
2.0ms
(/ 1 (+ x 1))

series60.0ms

Calls
3 calls:
Slowest
40.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
11.0ms
(/ 1 (- x 1))
9.0ms
(/ 1 (+ x 1))

simplify1.8s

Calls
32 calls:
Slowest
298.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
294.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
269.0ms
(- (* 1 (- x 1)) (* (+ x 1) 1))
99.0ms
(- (+ x (+ (pow x 2) 1)))
92.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune426.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×frac-times associate-/r/
6×flip3-+ flip3-- flip-+ flip--
4×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube associate-*l/ associate-*r/ add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in insert-posit16 add-log-exp
1×clear-num associate-/r* frac-2neg pow-prod-down prod-exp *-commutative cbrt-unprod div-inv
Calls
2 calls:
Slowest
5.0ms
(* (+ x 1) (- x 1))
2.0ms
(/ -2 (* (+ x 1) (- x 1)))

series54.0ms

Calls
2 calls:
Slowest
35.0ms
(* (+ x 1) (- x 1))
19.0ms
(/ -2 (* (+ x 1) (- x 1)))

simplify5.5s

Calls
39 calls:
Slowest
886.0ms
(* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))
461.0ms
(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
435.0ms
(* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1))))
418.0ms
(* (- (* x x) (* 1 1)) (- x 1))
355.0ms
(* (- (* x x) (* 1 1)) (- (* x x) (* 1 1)))

prune439.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×associate-/r/
6×associate-/r* div-inv associate-/l*
5×flip3-+ flip-+
4×add-cbrt-cube add-exp-log
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×cbrt-undiv flip3-- div-exp flip-- associate-/l/
Calls
2 calls:
Slowest
4.0ms
(/ (/ -2 (+ x 1)) (- x 1))
1.0ms
(/ -2 (+ x 1))

series42.0ms

Calls
2 calls:
Slowest
34.0ms
(/ (/ -2 (+ x 1)) (- x 1))
8.0ms
(/ -2 (+ x 1))

simplify4.5s

Calls
58 calls:
Slowest
461.0ms
(/ (* (* (/ -2 (+ x 1)) (/ -2 (+ x 1))) (/ -2 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
357.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
349.0ms
(/ (/ -2 (- (* x x) (* 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))
320.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
273.0ms
(- (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x))))

prune437.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
12.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
1.0ms
(cbrt (+ x 1))
1.0ms
(cbrt (+ x 1))
1.0ms
(cbrt (+ x 1))

series180.0ms

Calls
4 calls:
Slowest
54.0ms
(cbrt (+ x 1))
49.0ms
(cbrt (+ x 1))
43.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
34.0ms
(cbrt (+ x 1))

simplify2.9s

Calls
59 calls:
Slowest
311.0ms
(- (+ (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))))
273.0ms
(- (+ (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))))
267.0ms
(- (+ (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))))
162.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
133.0ms
(- (+ (* 2/3 (pow (/ 1 x) 1/3)) (pow (/ 1 x) -2/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))

prune883.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

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
716.0ms1301×body320valid
679.0ms1858×body640valid
390.0ms4205×body80valid
117.0ms636×body160valid