Details

Time bar (total: 14.3s)

sample36.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
8.0ms241×body80nan

simplify87.0ms

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: 0.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.3b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite115.0ms

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:
32.0ms
(* 6.0 (- x 1.0))
29.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
51.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series189.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 6.0 (- x 1.0))
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
105.0ms
(/ (* 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
21227811
done5000808

prune223.0ms

Pruning

4 alts after pruning (4 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)))

rewrite491.0ms

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)))
399.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
52.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series209.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
75.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
88.0ms
(/ 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

prune438.0ms

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

rewrite481.0ms

Algorithm
rewrite-expression-head
Rules
576×times-frac
360×cbrt-prod
339×add-sqr-sqrt
333×*-un-lft-identity
219×add-cube-cbrt
111×associate-/r/
110×cbrt-div
54×distribute-lft-out--
48×difference-of-squares
43×div-inv
30×swap-sqr
27×frac-times associate-*r/ associate-*l/
25×associate-/r*
24×associate-*r* associate-*l*
20×add-exp-log
16×flip3-- flip--
13×associate-/l*
11×pow1 add-cbrt-cube
9×unswap-sqr
7×cbrt-undiv pow1/3 div-exp
4×add-log-exp
3×prod-exp cbrt-unprod
2×frac-2neg pow-prod-down clear-num pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative associate-/l/
Counts
4 → 454
Calls
4 calls:
21.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
127.0ms
(/ (/ 6.0 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
55.0ms
(/ 6.0 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
241.0ms
(* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))

series964.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
104.0ms
(/ (/ 6.0 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
360.0ms
(/ 6.0 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
261.0ms
(* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))

simplify1.9s

Counts
466 → 466
Iterations

Useful iterations: done (1.9s)

IterNodesCost
070625280
1144023939
2381123221
done500020350

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.2b
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
0.2b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
0.3b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
417×times-frac
387×add-sqr-sqrt
282×*-un-lft-identity
178×add-cube-cbrt
152×sqrt-prod
104×associate-*r*
100×difference-of-squares
50×distribute-lft-out--
42×associate-/r*
20×add-exp-log add-cbrt-cube
18×associate-/r/
10×div-inv
9×add-log-exp
8×flip3-- flip--
7×cbrt-undiv div-exp
6×pow1 associate-/l*
5×associate-*l*
4×flip3-+ flip-+
3×prod-exp sum-log cbrt-unprod unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/ distribute-lft-out
1×+-commutative associate-+l+ associate-*r/ pow-prod-down *-commutative
Counts
4 → 350
Calls
4 calls:
32.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
173.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
58.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
100.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
557.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
237.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
356.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

simplify706.0ms

Counts
362 → 362
Iterations

Useful iterations: done (690.0ms)

IterNodesCost
049110458
112789850
done50009271

prune924.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.1b 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
01443
11743
done1743

end0.0ms

sample1.7s

Algorithm
intervals
Results
727.0ms8200×body80nan
580.0ms8000×body80valid