Details

Time bar (total: 47.3s)

sample29.0ms

Algorithm
intervals
Results
10.0ms61×body640valid
6.0ms135×body80valid
5.0ms39×body320valid
2.0ms21×body160valid

simplify16.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize17.0ms

Local error

Found 2 expressions with local error:

2.6b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite43.0ms

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
34.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series48.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
28.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
20.0ms
(/ 1 (+ x 1))

simplify3.0s

Counts
79 → 77
Calls
79 calls:
Slowest
512.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
316.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
243.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
243.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
239.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune467.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ -1 (+ (* x x) x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity times-frac
11×add-sqr-sqrt add-cube-cbrt
5×associate-/r*
4×distribute-lft1-in distribute-rgt-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
Slowest
12.0ms
(/ -1 (+ (* x x) x))

series21.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
21.0ms
(/ -1 (+ (* x x) x))

simplify2.1s

Counts
43 → 41
Calls
43 calls:
Slowest
401.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
326.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
263.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
141.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
78.0ms
(- 1 (+ x (/ 1 x)))

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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
13.0ms
(/ (/ -1 x) (+ x 1))

series25.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
25.0ms
(/ (/ -1 x) (+ x 1))

simplify5.8s

Counts
128 → 90
Calls
128 calls:
Slowest
662.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
341.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
287.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
238.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
159.0ms
(/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune515.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (/ (/ -1 x) (+ x 1)))
16.6b
(cbrt (/ (/ -1 x) (+ x 1)))
16.6b
(cbrt (/ (/ -1 x) (+ x 1)))
0.5b
(* (cbrt (/ (/ -1 x) (+ x 1))) (cbrt (/ (/ -1 x) (+ x 1))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
728×times-frac
590×*-un-lft-identity
482×cbrt-prod
386×add-sqr-sqrt
330×add-cube-cbrt
117×distribute-lft-out
87×swap-sqr
61×associate-*r* associate-*l*
39×div-inv
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3
7×cbrt-div flip3-+ flip-+
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 451
Calls
4 calls:
Slowest
60.0ms
(* (cbrt (/ (/ -1 x) (+ x 1))) (cbrt (/ (/ -1 x) (+ x 1))))
8.0ms
(cbrt (/ (/ -1 x) (+ x 1)))
8.0ms
(cbrt (/ (/ -1 x) (+ x 1)))
8.0ms
(cbrt (/ (/ -1 x) (+ x 1)))

series326.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(* (cbrt (/ (/ -1 x) (+ x 1))) (cbrt (/ (/ -1 x) (+ x 1))))
85.0ms
(cbrt (/ (/ -1 x) (+ x 1)))
83.0ms
(cbrt (/ (/ -1 x) (+ x 1)))
64.0ms
(cbrt (/ (/ -1 x) (+ x 1)))

simplify27.7s

Counts
533 → 463
Calls
533 calls:
Slowest
457.0ms
(* (/ (/ -1 x) (+ x 1)) (/ (/ -1 x) (+ x 1)))
439.0ms
(* (/ (/ -1 x) (+ x 1)) (/ (/ -1 x) (+ x 1)))
400.0ms
(cbrt (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
393.0ms
(cbrt (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))
388.0ms
(cbrt (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))

prune4.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s1941×body640valid
333.0ms4205×body80valid
255.0ms1214×body320valid
104.0ms641×body160valid