Details

Time bar (total: 6.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 7 (221.0ms)

IterNodesCost
01213
12213
24513
39713
418613
530213
645713
768311
8180111
done500111

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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)
14.0ms
(+ (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)

series57.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x z) y)
32.0ms
(+ (* 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

prune132.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

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:
19.0ms
(- (/ x y) (/ z y))
42.0ms
(+ (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))) 1.0)

series47.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(- (/ x y) (/ z y))
27.0ms
(+ (* 4.0 (+ 0.25 (- (/ x y) (/ z y)))) 1.0)

simplify926.0ms

Counts
42 → 42
Iterations

Useful iterations: 3 (187.0ms)

IterNodesCost
090616
1224608
2557560
31944550
done5000550

prune99.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)
5.5b
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
21.2b
(/ (+ (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)))

rewrite281.0ms

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:
94.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
15.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
14.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
155.0ms
(/ (+ (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)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (* 4.0 (+ 0.25 (/ (- x z) y))) (- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0))
118.0ms
(pow (* 4.0 (+ 0.25 (/ (- x z) y))) 3)
43.0ms
(- (* 4.0 (+ 0.25 (/ (- x z) y))) 1.0)
194.0ms
(/ (+ (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)))

simplify1.1s

Counts
123 → 123
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02344507
16654306
230673902
done50013902

prune374.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes44.0ms

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

sample501.0ms

Algorithm
intervals
Results
299.0ms10106×body80valid