Details

Time bar (total: 19.5s)

sample57.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
16.0ms256×body80nan

simplify226.0ms

Counts
1 → 1
Iterations
IterNodes
done107
8107
7106
6104
593
470
354
236
121
011

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 2 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
41.0ms
(* 6.0 (- x 1.0))
99.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series221.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* 6.0 (- x 1.0))
138.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify2.5s

Counts
57 → 57
Iterations
IterNodes
done5000
21154
1335
0115

prune380.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 141
Calls
2 calls:
203.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
107.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series286.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
146.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify3.3s

Counts
147 → 147
Iterations
IterNodes
done5004
22390
1666
0246

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
7.4b
(/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0)))))
7.8b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
12.7b
(* (/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
48×frac-add
45×pow1
42×frac-times
41×flip3-+ flip-+
30×add-exp-log associate-*r/ add-cbrt-cube
25×flip3-- flip--
18×pow-prod-down
15×associate-*l/
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity add-log-exp
6×times-frac
4×cbrt-undiv div-exp associate-*r* associate-/r/ pow-sqr pow-prod-up
3×associate-/r*
2×distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in pow-plus sum-log *-commutative div-inv associate-/l/
1×+-commutative pow2 associate-+r- sub-neg frac-2neg diff-log swap-sqr clear-num associate-/l* unswap-sqr
Counts
4 → 159
Calls
4 calls:
71.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
259.0ms
(/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0)))))
222.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
1.4s
(* (/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series638.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
155.0ms
(/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0)))))
140.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
294.0ms
(* (/ (* (- x 1.0) 6.0) (+ (* (* (* x 4.0) 4.0) (* (sqrt x) 4.0)) (* (+ x 1.0) (* (+ x 1.0) (+ x 1.0))))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify4.1s

Counts
171 → 171
Iterations
IterNodes
done5003
11567
0344

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.3s8000×body80valid
681.0ms7895×body80nan