Details

Time bar (total: 1.2m)

sample60.0ms

Algorithm
intervals
Results
20.0ms55×body640valid
13.0ms139×body80valid
11.0ms41×body320valid
4.0ms21×body160valid

simplify37.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
37.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize11.0ms

Local error

Found 2 expressions with local error:

3.2b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite38.0ms

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
30.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series52.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify5.2s

Counts
101 → 77
Calls
101 calls:
Slowest
555.0ms
(* (* (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ 1 (+ x 1)) (/ 1 x))) (- (/ 1 (+ x 1)) (/ 1 x)))
438.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
421.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
386.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
376.0ms
(- (* (/ 1 (+ x 1)) (/ 1 (+ x 1))) (* (/ 1 x) (/ 1 x)))

prune506.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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)

series79.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(+ (* x x) x)
33.0ms
(/ -1 (+ (* x x) x))

simplify4.7s

Counts
75 → 58
Calls
75 calls:
Slowest
496.0ms
(* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x))
452.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
404.0ms
(+ (pow (* x x) 3) (pow x 3))
394.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
357.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))

prune389.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
16×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 125
Calls
2 calls:
Slowest
12.0ms
(/ (/ -1 (+ x 1)) x)
7.0ms
(/ -1 (+ x 1))

series38.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
23.0ms
(/ (/ -1 (+ x 1)) x)
15.0ms
(/ -1 (+ x 1))

simplify10.9s

Counts
199 → 131
Calls
199 calls:
Slowest
455.0ms
(/ (* (* (/ -1 (+ x 1)) (/ -1 (+ x 1))) (/ -1 (+ x 1))) (* (* x x) x))
454.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
419.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
372.0ms
(/ (/ -1 (+ (pow x 3) (pow 1 3))) (sqrt x))
369.0ms
(- (/ 1 (pow x 2)) (+ (/ 1 (pow x 3)) (/ 1 x)))

prune925.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

14.5b
(cbrt (/ (/ -1 (+ x 1)) x))
14.5b
(cbrt (/ (/ -1 (+ x 1)) x))
14.5b
(cbrt (/ (/ -1 (+ x 1)) x))
0.5b
(* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
726×times-frac
513×*-un-lft-identity
466×cbrt-prod
389×add-sqr-sqrt
333×add-cube-cbrt
81×distribute-lft-out
79×swap-sqr
61×associate-*r* associate-*l*
42×associate-/r/
28×div-inv
21×flip3-+ flip-+
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div
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 → 443
Calls
4 calls:
Slowest
45.0ms
(* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x)))
8.0ms
(cbrt (/ (/ -1 (+ x 1)) x))
7.0ms
(cbrt (/ (/ -1 (+ x 1)) x))
4.0ms
(cbrt (/ (/ -1 (+ x 1)) x))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x)))
91.0ms
(cbrt (/ (/ -1 (+ x 1)) x))
90.0ms
(cbrt (/ (/ -1 (+ x 1)) x))
70.0ms
(cbrt (/ (/ -1 (+ x 1)) x))

simplify43.2s

Counts
723 → 455
Calls
723 calls:
Slowest
448.0ms
(cbrt (/ (+ (* x x) (- (* 1 1) (* x 1))) x))
426.0ms
(* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt x) (cbrt x)))))
425.0ms
(* (cbrt (/ (/ -1 (+ (pow x 3) (pow 1 3))) (sqrt x))) (cbrt (/ (/ -1 (+ (pow x 3) (pow 1 3))) (sqrt x))))
423.0ms
(* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ (pow x 3) (pow 1 3))) (sqrt x))))
423.0ms
(* (* (* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x))) (* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x)))) (* (cbrt (/ (/ -1 (+ x 1)) x)) (cbrt (/ (/ -1 (+ x 1)) x))))

prune4.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
712.0ms1253×body320valid
600.0ms1939×body640valid
355.0ms4214×body80valid
90.0ms596×body160valid