Details

Time bar (total: 20.5s)

sample30.0ms

Algorithm
intervals
Results
10.0ms56×body640valid
7.0ms146×body80valid
5.0ms40×body320valid
1.0ms14×body160valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize22.0ms

Local error

Found 2 expressions with local error:

2.8b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
Slowest
55.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

series54.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

simplify3.2s

Counts
79 → 77
Calls
79 calls:
Slowest
642.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
479.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
267.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
264.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
242.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune521.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-lft1-in distribute-rgt-out
4×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 → 52
Calls
2 calls:
Slowest
24.0ms
(/ -1 (+ (* x x) x))
9.0ms
(+ (* x x) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
64.0ms
(+ (* x x) x)
22.0ms
(/ -1 (+ (* x x) x))

simplify2.0s

Counts
49 → 58
Calls
49 calls:
Slowest
345.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
263.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
250.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
162.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
71.0ms
(- (log -1) (log (+ (* x x) x)))

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
78×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
13×associate-/l*
6×add-cbrt-cube add-exp-log div-inv
4×associate-/r*
3×cbrt-undiv div-exp
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
Counts
1 → 87
Calls
1 calls:
Slowest
21.0ms
(/ (/ -1 x) (+ x 1))

series36.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
36.0ms
(/ (/ -1 x) (+ x 1))

simplify5.8s

Counts
128 → 90
Calls
128 calls:
Slowest
819.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
317.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
286.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
233.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
153.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))

prune598.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite65.0ms

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
51.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
5.0ms
(cbrt (+ x 1))
4.0ms
(cbrt (+ x 1))
3.0ms
(cbrt (+ x 1))

series212.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(* (cbrt (+ x 1)) (cbrt (+ x 1)))
56.0ms
(cbrt (+ x 1))
56.0ms
(cbrt (+ x 1))
37.0ms
(cbrt (+ x 1))

simplify4.5s

Counts
94 → 111
Calls
94 calls:
Slowest
244.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
242.0ms
(* (cbrt (+ (pow x 3) (pow 1 3))) (cbrt (- (* x x) (* 1 1))))
233.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
233.0ms
(* (cbrt (- (* x x) (* 1 1))) (cbrt (+ (pow x 3) (pow 1 3))))
222.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
646.0ms1915×body640valid
352.0ms4249×body80valid
334.0ms1207×body320valid
89.0ms630×body160valid