Details

Time bar (total: 12.0s)

sample46.0ms

Algorithm
intervals
Results
22.0ms332×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 7 (2.6s)

IterNodesCost
01213
12213
25012
312311
429811
559711
6126211
7492410
done500010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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:
71.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)
19.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ (* 4.0 (- (+ x (* y 0.25)) z)) y)
50.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.25)) z)) y))

simplify1.1s

Counts
48 → 48
Iterations

Useful iterations: done (1.1s)

IterNodesCost
095763
1273711
21202600
done5002583

prune302.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (fma 4.0 (/ x y) 2.0) (* 4.0 (/ z y)))
0.0b
(* 4.0 (/ z y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×fma-neg associate-*l* prod-diff
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down associate--l+ *-commutative flip-- fma-udef div-inv
Counts
2 → 55
Calls
2 calls:
6.0ms
(- (fma 4.0 (/ x y) 2.0) (* 4.0 (/ z y)))
33.0ms
(* 4.0 (/ z y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (fma 4.0 (/ x y) 2.0) (* 4.0 (/ z y)))
23.0ms
(* 4.0 (/ z y))

simplify933.0ms

Counts
61 → 61
Iterations

Useful iterations: done (930.0ms)

IterNodesCost
0111723
1288689
21105624
done5000588

prune296.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (* 4.0 (/ z y)) 3)
1.8b
(fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0))))
2.5b
(- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3))
26.8b
(/ (- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3)) (fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0)))))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
96×prod-diff
72×*-un-lft-identity
62×add-cube-cbrt
52×sqr-pow
50×unpow-prod-down cube-prod
40×difference-of-squares
39×times-frac
22×cube-mult unpow3
13×associate-/l*
12×add-exp-log fma-neg add-cbrt-cube
7×pow1
6×add-log-exp
5×difference-cubes distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u
3×pow-unpow pow-exp associate-/r* rem-cube-cbrt
2×cbrt-undiv flip3-- pow-pow div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×cube-div pow-to-exp sub-neg frac-2neg diff-log div-sub associate-*r/ pow-prod-down clear-num fma-udef div-inv
Counts
4 → 241
Calls
4 calls:
19.0ms
(pow (* 4.0 (/ z y)) 3)
1.0ms
(fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0))))
32.0ms
(- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3))
105.0ms
(/ (- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3)) (fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0)))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(pow (* 4.0 (/ z y)) 3)
158.0ms
(fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0))))
150.0ms
(- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3))
161.0ms
(/ (- (pow (fma 4.0 (/ x y) 2.0) 3) (pow (* 4.0 (/ z y)) 3)) (fma (* (* 4.0 (/ z y)) 4.0) (/ z y) (* (fma 4.0 (/ x y) 2.0) (fma 4.0 (/ z y) (fma 4.0 (/ x y) 2.0)))))

simplify775.0ms

Counts
253 → 253
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
032813788
188411215
done50009251

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes286.0ms

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
01012
11112
done1112

end0.0ms

sample1.3s

Algorithm
intervals
Results
804.0ms10167×body80valid