Details

Time bar (total: 29.3s)

sample31.0ms

Algorithm
intervals
Results
12.0ms65×body640valid
7.0ms136×body80valid
5.0ms38×body320valid
2.0ms17×body160valid

simplify22.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
22.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize10.0ms

Local error

Found 2 expressions with local error:

1.8b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite62.0ms

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
50.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
10.0ms
(/ 1 (+ x 1))

series51.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
28.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
23.0ms
(/ 1 (+ x 1))

simplify3.0s

Counts
79 → 77
Calls
79 calls:
Slowest
495.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
296.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
246.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
221.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
206.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune485.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ -1 (+ (* x x) x))
0.0b
(+ (* x x) x)

rewrite33.0ms

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
19.0ms
(/ -1 (+ (* x x) x))
13.0ms
(+ (* x x) x)

series112.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
78.0ms
(+ (* x x) x)
34.0ms
(/ -1 (+ (* x x) x))

simplify2.1s

Counts
49 → 58
Calls
49 calls:
Slowest
404.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
271.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
218.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
117.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
87.0ms
(- 1 (+ x (/ 1 x)))

prune385.0ms

Pruning

7 alts after pruning (6 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
14.0ms
(/ (/ -1 x) (+ x 1))

series22.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
22.0ms
(/ (/ -1 x) (+ x 1))

simplify5.9s

Counts
128 → 90
Calls
128 calls:
Slowest
811.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
324.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
295.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
293.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
185.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))

prune555.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.5b
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×*-un-lft-identity add-cube-cbrt
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
8×add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 206
Calls
4 calls:
Slowest
40.0ms
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))
279.0ms
(cbrt x)
261.0ms
(cbrt x)
211.0ms
(cbrt x)

simplify11.6s

Counts
248 → 218
Calls
248 calls:
Slowest
517.0ms
(* (/ (* (cbrt (cbrt -1)) (cbrt (cbrt -1))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ (* (cbrt (cbrt -1)) (cbrt (cbrt -1))) (* (cbrt (cbrt x)) (cbrt (cbrt x)))))
483.0ms
(* (pow (/ 1 (pow x 2)) 1/3) (pow (cbrt -1) 2))
437.0ms
(* (pow (/ 1 (pow x 2)) 1/3) (pow (cbrt -1) 2))
242.0ms
(* (* (* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x))) (/ (cbrt -1) (cbrt x))) (* (* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x))) (/ (cbrt -1) (cbrt x))))
222.0ms
(* (/ (* (cbrt (cbrt -1)) (cbrt (cbrt -1))) (cbrt (sqrt x))) (/ (* (cbrt (cbrt -1)) (cbrt (cbrt -1))) (cbrt (sqrt x))))

prune1.9s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes25.0ms

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
702.0ms4259×body80valid
628.0ms1851×body640valid
334.0ms1281×body320valid
108.0ms610×body160valid