Details

Time bar (total: 8.4s)

sample29.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms198×body80nan

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12114
23914
36114
48014
510114
610914
done10914

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite96.0ms

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:
20.0ms
(* 6.0 (- x 1.0))
30.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series188.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* 6.0 (- x 1.0))
42.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
99.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify908.0ms

Counts
73 → 73
Iterations

Useful iterations: done (905.0ms)

IterNodesCost
0133982
1376955
21227811
done5000808

prune185.0ms

Pruning

3 alts after pruning (2 fresh and 1 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
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite189.0ms

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-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
28.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
93.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
60.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series486.0ms

Counts
3 → 9
Calls
3 calls:
333.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
73.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
80.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.3s

Counts
163 → 163
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02643901
16273749
222603557
done50003545

prune456.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (* 4.0 (sqrt x)) 3)
6.2b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
10.8b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
16.6b
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
48×frac-add
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
25×flip3-- flip--
21×add-exp-log add-cbrt-cube
16×*-un-lft-identity
13×associate-*l/
12×add-sqr-sqrt
11×associate-*l*
10×add-cube-cbrt times-frac
9×pow1 add-log-exp
6×prod-exp cbrt-unprod
5×associate-/r*
4×cbrt-undiv div-exp associate-/r/
3×pow-unpow associate-*r* sum-cubes distribute-lft-out
2×distribute-rgt-in associate-+l+ associate-+r+ pow-pow distribute-lft-in pow-prod-down pow-exp sum-log div-inv associate-/l/ rem-cube-cbrt
1×+-commutative cube-mult pow-to-exp associate-+r- sub-neg unpow-prod-down frac-2neg diff-log unpow3 cube-prod clear-num *-commutative associate-/l* unswap-sqr sqr-pow
Counts
4 → 153
Calls
4 calls:
11.0ms
(pow (* 4.0 (sqrt x)) 3)
124.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
144.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
832.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series510.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(pow (* 4.0 (sqrt x)) 3)
114.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
102.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
208.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify584.0ms

Counts
165 → 165
Iterations

Useful iterations: done (574.0ms)

IterNodesCost
035410689
114938589
done50007857

prune803.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11414
done1414

end0.0ms

sample1.4s

Algorithm
intervals
Results
549.0ms8000×body80valid
465.0ms8006×body80nan