Details

Time bar (total: 7.6s)

sample34.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms251×body80nan

simplify5.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.6b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
53.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
23.0ms
(* 6.0 (- x 1.0))
62.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series180.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
48.0ms
(* 6.0 (- x 1.0))
88.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify34.0ms

Counts
73 → 73

prune169.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
4×associate-/r/
3×flip3-+ associate-*l* associate-/r* sum-log flip-+
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
3 → 93
Calls
3 calls:
51.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
131.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
56.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series282.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
118.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
105.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify46.0ms

Counts
102 → 102

prune334.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
0.1b
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
0.1b
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite450.0ms

Algorithm
rewrite-expression-head
Rules
171×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
30×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
316.0ms
(* (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
33.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
34.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
42.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))) (cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))))
254.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
287.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
275.0ms
(cbrt (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify69.0ms

Counts
210 → 210

prune941.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt x) (sqrt 1.0))
0.2b
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
0.6b
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×associate-*r/
14×associate-*r*
11×pow1
10×sqrt-prod
9×add-cube-cbrt flip3-+ flip-+
8×frac-times associate-/l/
7×prod-exp cbrt-unprod
6×flip3-- flip-- add-log-exp
4×associate-*l* pow-prod-down associate-*l/ distribute-lft-out difference-of-squares
3×cbrt-undiv distribute-rgt-in distribute-lft-in times-frac div-exp associate-/r*
2×sub-neg associate-/r/ *-commutative distribute-lft-out--
1×+-commutative frac-2neg clear-num sum-log div-inv associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
11.0ms
(+ (sqrt x) (sqrt 1.0))
63.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
96.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
115.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (sqrt x) (sqrt 1.0))
80.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
262.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
643.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify94.0ms

Counts
118 → 118

prune354.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
739.0ms8028×body80nan
569.0ms8000×body80valid