Details

Time bar (total: 5.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms306×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 7 (220.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
768311
8180111
done500111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x z) y)
0.0b
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 associate-+l+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in flip3-- frac-2neg distribute-lft-in flip3-+ div-sub div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 51
Calls
2 calls:
7.0ms
(/ (- x z) y)
15.0ms
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

series56.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x z) y)
30.0ms
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

simplify1.1s

Counts
57 → 57
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0109678
1268654
2696600
32583592
done5000591

prune125.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
0.2b
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
4.1b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
21.9b
(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
7×distribute-rgt-in distribute-lft-in
6×flip3-+ associate--l+ flip-+ add-log-exp
5×associate-/l*
4×frac-times flip3-- pow-prod-down prod-exp sum-cubes flip-- cbrt-unprod distribute-lft-out
3×sub-neg pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ associate-/l/ rem-cube-cbrt
1×cbrt-undiv cube-mult pow-to-exp unpow-prod-down frac-2neg diff-log unpow3 cube-prod div-exp associate-*l* clear-num *-commutative div-inv sqr-pow
Counts
4 → 111
Calls
4 calls:
102.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
14.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
15.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
167.0ms
(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series425.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
120.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
43.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
197.0ms
(/ (+ (pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify1.0s

Counts
123 → 123
Iterations

Useful iterations: 2 (260.0ms)

IterNodesCost
02344507
16654306
230673902
done50013902

prune392.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

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
01111
11411
done1411

end0.0ms

sample512.0ms

Algorithm
intervals
Results
302.0ms10156×body80valid