Details

Time bar (total: 24.2s)

sample30.0ms

Algorithm
intervals
Results
12.0ms67×body640valid
6.0ms132×body80valid
5.0ms34×body320valid
2.0ms23×body160valid

simplify29.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
29.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize20.0ms

Local error

Found 2 expressions with local error:

3.7b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite70.0ms

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

series42.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
28.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
14.0ms
(/ 1 (+ x 1))

simplify2.9s

Counts
79 → 77
Calls
79 calls:
Slowest
411.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
331.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
261.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
236.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
224.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune590.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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
21.0ms
(/ -1 (+ (* x x) x))
10.0ms
(+ (* x x) x)

series89.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
62.0ms
(+ (* x x) x)
27.0ms
(/ -1 (+ (* x x) x))

simplify2.2s

Counts
49 → 58
Calls
49 calls:
Slowest
329.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
325.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
269.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
133.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
101.0ms
(* (exp (* x x)) (exp x))

prune390.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

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
24.0ms
(/ (/ -1 x) (+ x 1))

series27.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
27.0ms
(/ (/ -1 x) (+ x 1))

simplify5.7s

Counts
128 → 90
Calls
128 calls:
Slowest
738.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
361.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
321.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
287.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
170.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (sqrt (+ x 1)))

prune577.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

15.3b
(cbrt (+ (* x x) x))
15.3b
(cbrt (+ (* x x) x))
15.3b
(cbrt (+ (* x x) x))
0.8b
(/ 1 (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod add-exp-log
12×pow1 *-un-lft-identity
9×add-sqr-sqrt flip3-+ pow1/3 add-cube-cbrt flip-+ pow-flip
8×associate-/r/
7×add-cbrt-cube
4×frac-times div-exp insert-posit16 add-log-exp
3×distribute-lft1-in times-frac distribute-rgt-out prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 92
Calls
4 calls:
Slowest
65.0ms
(/ 1 (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))
4.0ms
(cbrt (+ (* x x) x))
4.0ms
(cbrt (+ (* x x) x))
4.0ms
(cbrt (+ (* x x) x))

series240.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
69.0ms
(cbrt (+ (* x x) x))
62.0ms
(cbrt (+ (* x x) x))
60.0ms
(cbrt (+ (* x x) x))
49.0ms
(/ 1 (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))

simplify8.5s

Counts
65 → 104
Calls
65 calls:
Slowest
845.0ms
(/ (* (* 1 1) 1) (* (+ (* x x) x) (+ (* x x) x)))
764.0ms
(/ (* (* 1 1) 1) (* (* (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))) (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))) (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))))
443.0ms
(cbrt (+ (pow (* x x) 3) (pow x 3)))
438.0ms
(* (cbrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))) (cbrt (- (* x x) x)))
395.0ms
(cbrt (+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x))))

prune992.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
617.0ms1887×body640valid
397.0ms4173×body80valid
274.0ms1309×body320valid
109.0ms631×body160valid