Details

Time bar (total: 2.2m)

sample63.0ms

Algorithm
intervals
Results
23.0ms64×body640valid
14.0ms35×body320valid
12.0ms139×body80valid
3.0ms18×body160valid

simplify31.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize21.0ms

Local error

Found 2 expressions with local error:

3.0b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite71.0ms

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
62.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series41.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
17.0ms
(/ 1 (+ x 1))

simplify3.0s

Counts
79 → 77
Calls
79 calls:
Slowest
503.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
289.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
279.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
224.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
204.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune529.0ms

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)

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)

series93.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
62.0ms
(+ (* x x) x)
30.0ms
(/ -1 (+ (* x x) x))

simplify2.2s

Counts
49 → 58
Calls
49 calls:
Slowest
318.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
308.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
256.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
162.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
88.0ms
(- (log -1) (log (+ (* x x) x)))

prune380.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

series19.0ms

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

simplify5.7s

Counts
128 → 90
Calls
128 calls:
Slowest
655.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
376.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
296.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
244.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
174.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))

prune566.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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))

rewrite134.0ms

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
40.0ms
(/ (/ (/ -1 x) (sqrt (+ x 1))) (sqrt (+ x 1)))
11.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
8.0ms
(sqrt (+ x 1))
8.0ms
(sqrt (+ x 1))

series203.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
110.0ms
(/ (/ -1 x) (sqrt (+ x 1)))
40.0ms
(sqrt (+ x 1))
34.0ms
(sqrt (+ x 1))
19.0ms
(/ (/ (/ -1 x) (sqrt (+ x 1))) (sqrt (+ x 1)))

simplify1.8m

Counts
1704 → 978
Calls
1704 calls:
Slowest
776.0ms
(/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
485.0ms
(/ (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt 1))
469.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (sqrt (+ x 1)) (sqrt (+ x 1))) (sqrt (+ x 1))))
469.0ms
(/ (/ (/ (cbrt -1) (cbrt x)) (sqrt (+ x 1))) (sqrt (+ x 1)))
463.0ms
(/ (/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt 1)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))

prune7.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s1895×body640valid
309.0ms4181×body80valid
290.0ms1251×body320valid
91.0ms673×body160valid