Details

Time bar (total: 14.6s)

sample42.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
11.0ms250×body80nan

simplify117.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
12114
23914
36214
48514
511114
611914
done11914

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))))

rewrite152.0ms

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:
44.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
36.0ms
(* 6.0 (- x 1.0))
69.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series217.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
63.0ms
(* 6.0 (- x 1.0))
109.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify1.1s

Counts
73 → 73
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0133982
1389955
21774819
done5002811

prune211.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize17.0ms

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)))

rewrite275.0ms

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:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
135.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
80.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series228.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
79.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
102.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.5s

Counts
163 → 163
Iterations

Useful iterations: 2 (466.0ms)

IterNodesCost
02643901
17233771
237743563
done50013563

prune467.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 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
(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
0.0b
(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

rewrite372.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
440×add-sqr-sqrt *-un-lft-identity
336×add-cube-cbrt
75×associate-/r*
52×distribute-lft-out-- difference-of-squares
35×associate-/r/
32×add-exp-log
27×associate-/l*
23×div-inv
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 associate-/l/
2×flip3-+ flip-+
1×+-commutative associate-+l+ pow-flip inv-pow
Counts
4 → 450
Calls
4 calls:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
90.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
82.0ms
(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
133.0ms
(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

series306.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
76.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
100.0ms
(/ 1 (/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0))
88.0ms
(/ (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)) 6.0)

simplify1.2s

Counts
462 → 462
Iterations

Useful iterations: done (1.2s)

IterNodesCost
062913642
1181912530
done500112058

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 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
(/ (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (/ 1 6.0))
0.1b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
3155×times-frac
1525×add-sqr-sqrt *-un-lft-identity
1241×add-cube-cbrt
142×distribute-lft-out-- difference-of-squares
132×div-inv
110×associate-/r/
100×add-exp-log
78×div-exp
74×associate-/l*
47×flip3-- flip--
39×associate-/r*
32×add-cbrt-cube
19×cbrt-undiv
17×rec-exp 1-exp
9×add-log-exp
5×pow1
3×frac-2neg clear-num sum-log associate-/l/
2×flip3-+ flip-+
1×+-commutative associate-+l+ pow-flip inv-pow
Counts
4 → 1171
Calls
4 calls:
33.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
97.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
141.0ms
(/ (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (/ 1 6.0))
72.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series338.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
106.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
95.0ms
(/ (/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (/ 1 6.0))
81.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify866.0ms

Counts
1183 → 1183
Iterations

Useful iterations: done (774.0ms)

IterNodesCost
0164845566
done500043405

prune4.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11816
done1816

end0.0ms

sample1.7s

Algorithm
intervals
Results
705.0ms7835×body80nan
582.0ms8000×body80valid