Details

Time bar (total: 16.0s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms241×body80nan

simplify118.0ms

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

localize22.0ms

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))))

rewrite106.0ms

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))
31.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
53.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(* 6.0 (- x 1.0))
40.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
82.0ms
(/ (* 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
1376955
21227811
done5000808

prune195.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite173.0ms

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)))
89.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
49.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
97.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
93.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify1.3s

Counts
163 → 163
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02643901
16273749
222603557
done50003545

prune454.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
353×times-frac
294×add-sqr-sqrt
261×cbrt-prod
260×*-un-lft-identity
172×add-cube-cbrt
101×associate-*r*
64×add-exp-log
39×distribute-lft-out--
34×associate-*l*
33×difference-of-squares
30×swap-sqr associate-/r/
25×associate-/r*
24×prod-exp
22×add-cbrt-cube
21×pow1 unswap-sqr
20×div-exp
15×div-inv
14×cbrt-div
12×pow1/3
11×flip3-- flip--
10×cbrt-undiv cbrt-unprod
9×pow-flip
6×rec-exp 1-exp associate-/l*
5×pow-prod-down
4×frac-times associate-*r/ associate-*l/ pow-sqr pow-prod-up add-log-exp
2×pow2 frac-2neg pow-plus clear-num *-commutative
1×inv-pow
Counts
4 → 389
Calls
4 calls:
612.0ms
(* (/ 1 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))) (/ 6.0 (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
45.0ms
(/ 6.0 (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
142.0ms
(/ 1 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
243.0ms
(* (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:
117.0ms
(* (/ 1 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))) (/ 6.0 (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
310.0ms
(/ 6.0 (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))
331.0ms
(/ 1 (* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))))
325.0ms
(* (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))) (cbrt (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))))

simplify3.5s

Counts
401 → 401
Iterations

Useful iterations: done (3.5s)

IterNodesCost
057315522
1130014637
2454113648
done500011902

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)))

rewrite498.0ms

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:
41.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
217.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
79.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
130.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
551.0ms
(* (+ (sqrt x) (sqrt 1.0)) (/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))))
227.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0))))
375.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- (sqrt x) (sqrt 1.0)))

simplify833.0ms

Counts
362 → 362
Iterations

Useful iterations: done (804.0ms)

IterNodesCost
049110458
112789850
done50009271

prune963.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01645
12245
done2245

end0.0ms

sample1.3s

Algorithm
intervals
Results
531.0ms8200×body80nan
468.0ms8000×body80valid