Details

Time bar (total: 9.5s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms238×body80nan

simplify114.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×associate-/r* sum-log times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×+-commutative associate-+l+ clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
27.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
22.0ms
(* 6.0 (- x 1.0))
53.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series185.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
47.0ms
(* 6.0 (- x 1.0))
98.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.2s

Counts
73 → 73
Iterations
IterNodes
done5000
21315
1385
0134

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
26.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
34.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
94.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
111.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.7s

Counts
163 → 163
Iterations
IterNodes
done5004
22494
1719
0265

prune740.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
0.2b
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
0.5b
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
17.9b
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
30×add-cbrt-cube add-exp-log
18×pow-prod-down
13×prod-exp cbrt-unprod
11×add-sqr-sqrt associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×times-frac
6×flip3-- flip-- add-log-exp
4×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp associate-*r* associate--l+ associate-*r/ associate-/r/ pow-sqr pow-prod-up difference-of-squares
3×sub-neg
2×frac-times pow-plus *-commutative div-inv associate-/l/
1×pow2 clear-num frac-2neg diff-log swap-sqr associate-*l/ associate-/l* unswap-sqr
Counts
4 → 116
Calls
4 calls:
179.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
22.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
31.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
40.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(* (/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))) (- (+ x 1.0) (* 4.0 (sqrt x))))
44.0ms
(- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))))
27.0ms
(* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))
96.0ms
(/ (* 6.0 (- x 1.0)) (- (* (+ x 1.0) (+ x 1.0)) (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x)))))

simplify2.3s

Counts
128 → 128
Iterations
IterNodes
done5001
23138
1674
0222

prune486.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
520.0ms8087×body80nan
479.0ms8000×body80valid