Details

Time bar (total: 18.0s)

sample47.0ms

Algorithm
intervals
Results
26.0ms328×body80valid

simplify7.6s

Counts
1 → 1
Iterations

Useful iterations: 7 (1.2s)

IterNodesCost
01213
12213
25012
312211
427311
548711
673811
7106810
8169110
9360810
done500010

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log *-un-lft-identity add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt
4×add-log-exp
3×fma-def times-frac associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u associate-*r/ div-exp log1p-expm1-u associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 42
Calls
2 calls:
41.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
59.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))
70.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)

simplify1.2s

Counts
48 → 48
Iterations

Useful iterations: done (1.2s)

IterNodesCost
095763
1265711
2928596
done5001574

prune203.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
731×times-frac
587×add-sqr-sqrt
577×*-un-lft-identity
561×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
83×div-inv
13×fma-neg
12×associate-*r*
8×distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log associate-*r/ add-cbrt-cube add-log-exp
3×sub-neg associate-*l*
2×expm1-log1p-u flip3-- distribute-rgt-out-- frac-sub flip-- log1p-expm1-u sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 582
Calls
2 calls:
150.0ms
(* 4.0 (- (/ x y) (/ z y)))
72.0ms
(- (/ x y) (/ z y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* 4.0 (- (/ x y) (/ z y)))
26.0ms
(- (/ x y) (/ z y))

simplify2.9s

Counts
588 → 588
Iterations

Useful iterations: done (2.8s)

IterNodesCost
071624713
1115721722
2237115935
done500012065

prune611.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4.0 (/ y x)) (* (/ 4.0 y) (- z)))
0.2b
(* (/ 4.0 y) (- z))
0.9b
(/ 4.0 (/ y x))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
151×times-frac
95×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
44×fma-def
13×add-exp-log associate-*l* associate-/r* add-cbrt-cube
10×associate-*r* div-inv
5×pow1 add-log-exp
4×cbrt-undiv div-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in associate-/r/ distribute-rgt-neg-out log1p-expm1-u associate-/l*
2×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg pow-prod-down frac-add clear-num sum-log *-commutative flip-+ distribute-lft-out
Counts
3 → 175
Calls
3 calls:
69.0ms
(+ (/ 4.0 (/ y x)) (* (/ 4.0 y) (- z)))
19.0ms
(* (/ 4.0 y) (- z))
14.0ms
(/ 4.0 (/ y x))

series117.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(+ (/ 4.0 (/ y x)) (* (/ 4.0 y) (- z)))
21.0ms
(* (/ 4.0 y) (- z))
19.0ms
(/ 4.0 (/ y x))

simplify2.0s

Counts
184 → 184
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02491575
16121453
219331339
done50001291

prune813.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes65.0ms

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
01011
11211
done1211

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s10232×body80valid