Details

Time bar (total: 1.7m)

sample15.0ms

Algorithm
intervals
Results
6.0ms293×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1137
2307
3577
4617
done617

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (* y 4.0) z))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
2.0ms
(- x (* (* y 4.0) z))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(- x (* (* y 4.0) z))

simplify1.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
032172
184165
2282151
31335151
done5000151

prune31.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
2.9b
(* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))
2.9b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
38.9b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
40×difference-of-squares
39×times-frac
33×*-un-lft-identity
30×sqr-pow
23×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×pow1 associate-/l*
10×unpow-prod-down cube-prod
8×add-log-exp
6×pow-prod-down prod-exp cbrt-unprod
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* associate-/r* flip-+
2×distribute-rgt-in associate-+r+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 132
Calls
4 calls:
3.0ms
(+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
27.0ms
(* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))
12.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
35.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

series445.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))
49.0ms
(* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))
181.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
127.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

simplify1.2s

Counts
144 → 144
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02395139
16274862
227304615
done50014614

prune419.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (+ (pow x 3/2) (pow (* (* y 4.0) z) 3/2)) (* (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))) (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))))
29.8b
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
29.8b
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
29.8b
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
13×*-un-lft-identity
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times times-frac associate-/l* add-log-exp
3×pow1/3
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/ distribute-lft-out
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
31.0ms
(/ (+ (pow x 3/2) (pow (* (* y 4.0) z) 3/2)) (* (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))) (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))))
2.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
2.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
2.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

series1.6m

Counts
4 → 12
Calls
4 calls:
1.6m
(/ (+ (pow x 3/2) (pow (* (* y 4.0) z) 3/2)) (* (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z))))) (cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))))
339.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
164.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))
156.0ms
(cbrt (+ (* x x) (* (* (* y 4.0) z) (+ x (* (* y 4.0) z)))))

simplify728.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (234.0ms)

IterNodesCost
02413756
16413576
219113217
done50003217

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample372.0ms

Algorithm
intervals
Results
184.0ms9125×body80valid