Details

Time bar (total: 2.3m)

sample37.0ms

Algorithm
intervals
Results
16.0ms65×body640valid
7.0ms41×body320valid
6.0ms127×body80valid
2.0ms23×body160valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize10.0ms

Local error

Found 2 expressions with local error:

3.4b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite67.0ms

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
48.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
21.0ms
(/ 1 (+ x 1))

simplify2.9s

Counts
79 → 77
Calls
79 calls:
Slowest
495.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
283.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
264.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
254.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
245.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune497.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ -1 (+ (* x x) x))
0.0b
(+ (* x x) x)

rewrite18.0ms

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
10.0ms
(/ -1 (+ (* x x) x))
6.0ms
(+ (* x x) x)

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
76.0ms
(+ (* x x) x)
25.0ms
(/ -1 (+ (* x x) x))

simplify1.9s

Counts
49 → 58
Calls
49 calls:
Slowest
320.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
253.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
241.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
185.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
87.0ms
(- (log -1) (log (+ (* x x) x)))

prune291.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite22.0ms

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
20.0ms
(/ (/ -1 x) (+ x 1))

series24.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
24.0ms
(/ (/ -1 x) (+ x 1))

simplify5.7s

Counts
128 → 90
Calls
128 calls:
Slowest
657.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
336.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
307.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
299.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
125.0ms
(/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune550.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
2074×times-frac
1330×*-un-lft-identity
896×add-sqr-sqrt
894×add-cube-cbrt
872×sqrt-prod
218×distribute-lft-out
110×associate-/l*
74×div-inv
24×sqrt-div
20×associate-/r/
18×add-cbrt-cube add-exp-log
14×associate-/r*
12×flip3-+ flip-+
9×cbrt-undiv div-exp
6×pow1
4×insert-posit16 add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 966
Calls
4 calls:
Slowest
27.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
22.0ms
(/ (/ (/ -1 x) (sqrt (+ x 1))) (sqrt (+ x 1)))
8.0ms
(sqrt (+ x 1))
8.0ms
(sqrt (+ x 1))

series195.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
41.0ms
(sqrt (+ x 1))
26.0ms
(/ (/ (/ -1 x) (sqrt (+ x 1))) (sqrt (+ x 1)))
24.0ms
(sqrt (+ x 1))

simplify1.9m

Counts
1704 → 978
Calls
1704 calls:
Slowest
789.0ms
(/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
574.0ms
(/ (/ (/ (sqrt -1) (* (cbrt x) (cbrt x))) (sqrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))
508.0ms
(/ (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt 1)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))
506.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
504.0ms
(/ (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt 1))

prune9.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes41.0ms

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
653.0ms1918×body640valid
312.0ms1232×body320valid
295.0ms4213×body80valid
147.0ms638×body160valid