Details

Time bar (total: 1.1m)

sample45.0ms

Algorithm
intervals
Results
15.0ms60×body640valid
10.0ms132×body80valid
9.0ms42×body320valid
3.0ms22×body160valid

simplify14.0ms

Calls
1 calls:
Slowest
14.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize12.0ms

Local error

Found 3 expressions with local error:

3.5b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite89.0ms

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
Calls
3 calls:
Slowest
70.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
9.0ms
(/ 1 (+ x 1))
8.0ms
(/ 1 (- x 1))

series115.0ms

Calls
3 calls:
Slowest
86.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify5.4s

Calls
153 calls:
Slowest
474.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
461.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
427.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
288.0ms
(/ (* (* 1 1) 1) (* (* (- x 1) (- x 1)) (- x 1)))
270.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune935.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (- (* x x) 1))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
18×times-frac
16×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt
8×difference-of-squares
6×associate-/r*
5×add-exp-log
4×difference-of-sqr-1
3×add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp insert-posit16 div-inv pow-flip flip-- inv-pow add-log-exp
Calls
1 calls:
Slowest
31.0ms
(/ 1 (- (* x x) 1))

series33.0ms

Calls
1 calls:
Slowest
33.0ms
(/ 1 (- (* x x) 1))

simplify3.6s

Calls
53 calls:
Slowest
370.0ms
(/ (* (* 1 1) 1) (* (* (- (* x x) 1) (- (* x x) 1)) (- (* x x) 1)))
248.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
230.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
181.0ms
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- (* x x) 1)) (cbrt (- (* x x) 1))))
158.0ms
(- (log 1) (log (- (* x x) 1)))

prune327.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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--
15×add-exp-log
11×associate-/r*
10×div-inv
9×flip3-+ add-cbrt-cube flip-+
8×div-exp
4×cbrt-undiv
3×pow1
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×flip3-- pow-flip flip-- inv-pow associate-/l/
Calls
2 calls:
Slowest
22.0ms
(/ (/ 1 (+ x 1)) (- x 1))
8.0ms
(/ 1 (+ x 1))

series83.0ms

Calls
2 calls:
Slowest
65.0ms
(/ (/ 1 (+ x 1)) (- x 1))
18.0ms
(/ 1 (+ x 1))

simplify23.0s

Calls
325 calls:
Slowest
563.0ms
(/ (/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
448.0ms
(/ (+ (* x x) (- (* 1 1) (* x 1))) (- x 1))
437.0ms
(/ (* (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) (/ 1 (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1)))
411.0ms
(/ (/ 1 (- (* x x) (* 1 1))) (+ (sqrt x) 1))
398.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

20.1b
(* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
0.2b
(/ 1 (+ (pow x 3) (pow 1 3)))
0.0b
(/ (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (- x 1))
0.0b
(+ (- 1 x) (* x x))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
120×*-un-lft-identity
69×times-frac
51×add-sqr-sqrt
42×distribute-lft-out
36×associate-*l* add-cube-cbrt
32×add-exp-log
28×unpow-prod-down cube-prod
20×add-cbrt-cube
17×associate-/r*
11×div-exp
9×add-log-exp
8×prod-exp
7×cube-mult pow1 flip3-+ sum-cubes flip-+
6×cbrt-undiv associate-/r/
5×associate-/l/
4×frac-times associate-*r/ cbrt-unprod insert-posit16 associate-/l* difference-of-squares
3×rec-exp 1-exp associate-*r* div-inv unswap-sqr
2×associate-+l+ clear-num sum-log frac-2neg difference-of-sqr-1 associate-*l/ distribute-lft-out--
1×distribute-rgt-in +-commutative sub-neg distribute-lft-in flip3-- diff-log pow-prod-down *-commutative associate-+l- pow-flip flip-- inv-pow
Calls
4 calls:
Slowest
132.0ms
(* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
77.0ms
(/ (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (- x 1))
27.0ms
(/ 1 (+ (pow x 3) (pow 1 3)))
20.0ms
(+ (- 1 x) (* x x))

series291.0ms

Calls
4 calls:
Slowest
129.0ms
(/ (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (- x 1))
73.0ms
(/ 1 (+ (pow x 3) (pow 1 3)))
64.0ms
(* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
24.0ms
(+ (- 1 x) (* x x))

simplify24.0s

Calls
188 calls:
Slowest
794.0ms
(/ (* (* (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))) (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))) (* (* (- x 1) (- x 1)) (- x 1)))
742.0ms
(/ (* (/ (* (* 1 1) 1) (* (* (+ (pow x 3) (pow 1 3)) (+ (pow x 3) (pow 1 3))) (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x)))) (* (* (- x 1) (- x 1)) (- x 1)))
708.0ms
(/ (* (* (* (/ 1 (+ (pow x 3) (pow 1 3))) (/ 1 (+ (pow x 3) (pow 1 3)))) (/ 1 (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x)))) (* (* (- x 1) (- x 1)) (- x 1)))
585.0ms
(* (/ (* (* 1 1) 1) (* (* (+ (pow x 3) (pow 1 3)) (+ (pow x 3) (pow 1 3))) (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x))))
509.0ms
(/ (* (* 1 1) 1) (* (* (+ (pow x 3) (pow 1 3)) (+ (pow x 3) (pow 1 3))) (+ (pow x 3) (pow 1 3))))

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
743.0ms4184×body80valid
655.0ms1991×body640valid
299.0ms1215×body320valid
150.0ms610×body160valid