Details

Time bar (total: 12.3s)

sample48.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
12.0ms243×body80nan

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12114
23914
36114
48014
510114
610914
done10914

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

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

rewrite120.0ms

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:
30.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
24.0ms
(* 6.0 (- x 1.0))
64.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series210.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
65.0ms
(* 6.0 (- x 1.0))
95.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.0s

Counts
73 → 73
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0133982
1376955
21225811
done5000808

prune189.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite194.0ms

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:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
90.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
65.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series246.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
97.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
96.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.1s

Counts
163 → 163
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02643901
16273749
222603557
done50003545

prune568.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite350.0ms

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:
30.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
32.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
29.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
245.0ms
(* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
236.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
247.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
260.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
327.0ms
(* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))

simplify2.3s

Counts
210 → 210
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02466713
14646386
213356155
333235798
done50005785

prune775.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ 1 (- x 1.0))
0.0b
(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
0.1b
(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
777×times-frac
424×add-sqr-sqrt *-un-lft-identity
320×add-cube-cbrt
81×associate-/r/
52×distribute-lft-out-- difference-of-squares
41×div-inv
32×add-exp-log
29×associate-/r*
24×flip3-+ flip-+
21×associate-/l*
20×add-cbrt-cube
19×div-exp
17×flip3-- flip--
10×cbrt-undiv
9×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp clear-num sum-log
1×+-commutative associate-+l+ pow-flip associate-/l/ inv-pow
Counts
4 → 458
Calls
4 calls:
38.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
17.0ms
(/ 1 (- x 1.0))
50.0ms
(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
101.0ms
(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
34.0ms
(/ 1 (- x 1.0))
80.0ms
(/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x))))
103.0ms
(/ (/ 6.0 (+ (+ x 1.0) (* 4.0 (sqrt x)))) (/ 1 (- x 1.0)))

simplify966.0ms

Counts
470 → 470
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
070015138
1201213177
done500112359

prune929.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01443
11743
done1743

end0.0ms

sample1.5s

Algorithm
intervals
Results
704.0ms7865×body80nan
573.0ms8000×body80valid