Details

Time bar (total: 11.3s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms276×body80nan

simplify74.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.3b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite116.0ms

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:
22.0ms
(* 6.0 (- x 1.0))
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
59.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series165.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 6.0 (- x 1.0))
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
81.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify742.0ms

Counts
73 → 73

prune210.0ms

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

rewrite185.0ms

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:
31.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
97.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
53.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series244.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
112.0ms
(* 6.0 (/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x)))))
70.0ms
(/ (- x 1.0) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify783.0ms

Counts
102 → 102

prune311.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
42×*-un-lft-identity
38×times-frac
26×add-cube-cbrt
14×associate-*r*
12×associate-/r/
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
6×pow1 distribute-rgt-out-- flip3-+ associate-/r* flip-+ div-inv associate-/l* add-log-exp
4×associate-*r/
3×sub-neg associate-*l*
2×cbrt-undiv distribute-rgt-in flip3-- frac-2neg distribute-lft-in div-exp clear-num frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 120
Calls
4 calls:
822.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
316.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
44.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))
59.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))

series552.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* 6.0 (- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))))
187.0ms
(- (/ x (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))))
121.0ms
(/ x (+ (+ x 1.0) (* 4.0 (sqrt x))))
68.0ms
(/ 1.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify917.0ms

Counts
132 → 132

prune780.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.2b
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
0.2b
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
0.3b
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×associate-*r/
17×*-un-lft-identity
14×associate-*r*
11×pow1
9×add-cube-cbrt flip3-+ flip-+ add-log-exp
8×frac-times sqrt-prod associate-/l/
7×prod-exp cbrt-unprod
6×flip3-- flip--
4×associate-*l* pow-prod-down associate-*l/ difference-of-squares
3×cbrt-undiv distribute-rgt-in distribute-lft-in times-frac div-exp associate-/r* sum-log
2×sub-neg associate-/r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l+ frac-2neg clear-num div-inv associate-/l* unswap-sqr
Counts
4 → 106
Calls
4 calls:
47.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
59.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
123.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
165.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series924.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms
(* 6.0 (+ (sqrt x) (sqrt 1.0)))
268.0ms
(* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0)))
538.0ms
(/ (* (* 6.0 (+ (sqrt x) (sqrt 1.0))) (- (sqrt x) (sqrt 1.0))) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.8s

Counts
118 → 118

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

-140.1% (0.1b remaining)

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

bsearch0.0ms

simplify168.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
447.0ms8000×body80valid
441.0ms8109×body80nan