Details

Time bar (total: 8.4s)

sample24.0ms

Algorithm
intervals
Results
13.0ms330×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 7 (217.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
767611
8119211
9323511
done500111

prune4.0ms

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
(+ (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)
0.0b
(/ (- x z) y)

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:
15.0ms
(+ (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)
7.0ms
(/ (- x z) y)

series57.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)
27.0ms
(/ (- x z) y)

simplify1.2s

Counts
57 → 57
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0108678
1267654
2680600
32356592
done5000591

prune126.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))) 1.0)
0.0b
(- (/ x y) (/ z y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×times-frac
6×add-log-exp
4×add-cube-cbrt distribute-lft-out-- difference-of-squares
2×pow1 add-exp-log associate-+l+ add-cbrt-cube div-inv
1×+-commutative distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- distribute-lft-in flip3-+ diff-log sum-log frac-sub flip-- flip-+ sub-div
Counts
2 → 36
Calls
2 calls:
47.0ms
(+ (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))) 1.0)
17.0ms
(- (/ x y) (/ z y))

series47.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* 4.0 (+ 0.75 (- (/ x y) (/ z y)))) 1.0)
21.0ms
(- (/ x y) (/ z y))

simplify686.0ms

Counts
42 → 42
Iterations

Useful iterations: 3 (181.0ms)

IterNodesCost
089616
1223608
2559560
31938550
done5001550

prune102.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x z) y)
0.2b
(pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3)
0.2b
(* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0))
20.6b
(/ (+ (pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

rewrite293.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
34×add-sqr-sqrt
30×times-frac
26×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/ associate-/l*
6×distribute-rgt-in distribute-lft-in flip3-+ associate-/r* flip-+
4×frac-times flip3-- pow-prod-down prod-exp associate--l+ sum-cubes flip-- cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow associate-*r*
2×cbrt-undiv cube-div sub-neg pow-pow frac-2neg div-exp associate-*l/ pow-exp clear-num associate-/r/ div-inv rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 div-sub cube-prod associate-*l* *-commutative sqr-pow
Counts
4 → 135
Calls
4 calls:
9.0ms
(/ (- x z) y)
15.0ms
(pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3)
99.0ms
(* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0))
166.0ms
(/ (+ (pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ (- x z) y)
119.0ms
(pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3)
106.0ms
(* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0))
197.0ms
(/ (+ (pow (* 4.0 (+ 0.75 (/ (- x z) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (+ 0.75 (/ (- x z) y))) (- (* 4.0 (+ 0.75 (/ (- x z) y))) 1.0)) (* 1.0 1.0)))

simplify1.1s

Counts
147 → 147
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
02944623
17964412
233564038
done50014038

prune461.0ms

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
01213
11513
done1513

end0.0ms

sample530.0ms

Algorithm
intervals
Results
315.0ms10096×body80valid