Details

Time bar (total: 46.2s)

sample75.0ms

Algorithm
intervals
Results
25.0ms70×body640valid
11.0ms125×body80valid
11.0ms38×body320valid
4.0ms23×body160valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize22.0ms

Local error

Found 2 expressions with local error:

2.9b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite83.0ms

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
60.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
21.0ms
(/ 1 (+ x 1))

series45.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
13.0ms
(/ 1 (+ x 1))

simplify2.8s

Counts
79 → 77
Calls
79 calls:
Slowest
418.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
301.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
252.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
230.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
227.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune610.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ -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
20.0ms
(/ -1 (+ (* x x) x))
13.0ms
(+ (* x x) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
56.0ms
(+ (* x x) x)
31.0ms
(/ -1 (+ (* x x) x))

simplify2.0s

Counts
49 → 58
Calls
49 calls:
Slowest
342.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
292.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
264.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
126.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
78.0ms
(- (log -1) (log (+ (* x x) x)))

prune365.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
12.0ms
(/ (/ -1 x) (+ x 1))

series19.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
19.0ms
(/ (/ -1 x) (+ x 1))

simplify5.6s

Counts
128 → 90
Calls
128 calls:
Slowest
615.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
422.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
307.0ms
(- (/ 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))))
163.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt (+ x 1)))

prune560.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
409×times-frac
286×add-sqr-sqrt
275×*-un-lft-identity
195×add-cube-cbrt
160×sqrt-prod
97×associate-*r*
52×add-exp-log
35×distribute-lft-out
32×add-cbrt-cube
27×associate-*l*
25×unswap-sqr
23×div-exp
19×div-inv
16×associate-/l*
14×associate-/r*
13×cbrt-undiv
12×prod-exp
10×sqrt-div
9×pow1
8×associate-/r/
6×cbrt-unprod
5×flip3-+ flip-+
4×rec-exp 1-exp insert-posit16 add-log-exp
3×pow-flip
2×clear-num frac-2neg sqrt-pow1 pow1/2
1×frac-times rem-sqrt-square pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow associate-/l/
Counts
4 → 378
Calls
4 calls:
Slowest
48.0ms
(* (/ 1 (sqrt (+ x 1))) (/ (/ -1 x) (sqrt (+ x 1))))
15.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
12.0ms
(/ 1 (sqrt (+ x 1)))
8.0ms
(sqrt (+ x 1))

series229.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
51.0ms
(/ 1 (sqrt (+ x 1)))
32.0ms
(* (/ 1 (sqrt (+ x 1))) (/ (/ -1 x) (sqrt (+ x 1))))
26.0ms
(sqrt (+ x 1))

simplify28.8s

Counts
480 → 390
Calls
480 calls:
Slowest
738.0ms
(/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
711.0ms
(* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt -1) (sqrt x)) (sqrt (sqrt (+ x 1)))))
571.0ms
(+ (- (log 1) (log (sqrt (+ x 1)))) (- (- (log -1) (log x)) (log (sqrt (+ x 1)))))
531.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
478.0ms
(+ (- (log 1) (log (sqrt (+ x 1)))) (- (log (/ -1 x)) (log (sqrt (+ x 1)))))

prune3.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 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

sample1.6s

Algorithm
intervals
Results
718.0ms1954×body640valid
342.0ms4172×body80valid
290.0ms1220×body320valid
97.0ms654×body160valid