Details

Time bar (total: 6.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms323×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 7 (249.0ms)

IterNodesCost
01213
12213
24513
39813
419013
531713
648613
775011
8215611
done500011

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
6×associate-+l+
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in div-sub associate-/r*
2×pow1 sub-neg associate-/l/ associate--r-
1×cbrt-undiv +-commutative flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv
Counts
2 → 55
Calls
2 calls:
8.0ms
(/ (- z x) y)
19.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- z x) y)
26.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)

simplify875.0ms

Counts
61 → 61
Iterations

Useful iterations: done (874.0ms)

IterNodesCost
0113714
1271690
2717644
32398627
done5000623

prune121.0ms

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
4×pow1 associate-+l+ associate-*r/ frac-add
3×flip3-+ associate-*r* sum-log flip-+
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative associate-+r+ div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 53
Calls
2 calls:
8.0ms
(* (/ x y) 4.0)
20.0ms
(+ (* 4.0 (- 0.25 (/ z y))) (+ (* (/ x y) 4.0) 1.0))

series45.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* (/ x y) 4.0)
28.0ms
(+ (* 4.0 (- 0.25 (/ z y))) (+ (* (/ x y) 4.0) 1.0))

simplify524.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
01461000
1444950
21690859
done5001859

prune135.0ms

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 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0))
0.2b
(pow (* 4.0 (- 0.25 (/ (- z x) y))) 3)
5.5b
(- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
21.2b
(/ (+ (pow (* 4.0 (- 0.25 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.25 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
18×associate--l+
17×distribute-rgt-in distribute-lft-in
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
14×add-exp-log add-cbrt-cube
12×pow1
10×associate-*r/
9×sub-neg
8×flip3-- flip--
6×div-sub associate--r- add-log-exp
5×associate-/l*
4×frac-times pow-prod-down prod-exp sum-cubes cbrt-unprod distribute-lft-out
3×pow-unpow associate-*r* associate-/r*
2×cube-div pow-pow flip3-+ associate-*l/ pow-exp associate-/r/ flip-+ 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 → 123
Calls
4 calls:
103.0ms
(* (* 4.0 (- 0.25 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0))
15.0ms
(pow (* 4.0 (- 0.25 (/ (- z x) y))) 3)
16.0ms
(- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
169.0ms
(/ (+ (pow (* 4.0 (- 0.25 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.25 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (* 4.0 (- 0.25 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0))
115.0ms
(pow (* 4.0 (- 0.25 (/ (- z x) y))) 3)
63.0ms
(- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
197.0ms
(/ (+ (pow (* 4.0 (- 0.25 (/ (- z x) y))) 3) (pow 1.0 3)) (+ (* (* 4.0 (- 0.25 (/ (- z x) y))) (- (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)) (* 1.0 1.0)))

simplify1.3s

Counts
135 → 135
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
02494815
16994628
232284228
done50014228

prune402.0ms

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
01315
11715
done1715

end0.0ms

sample517.0ms

Algorithm
intervals
Results
304.0ms10106×body80valid