Details

Time bar (total: 6.5s)

sample15.0ms

Algorithm
intervals
Results
5.0ms275×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1137
2317
3627
4727
done727

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
6.0ms
(- x (* (* y 4.0) z))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- x (* (* y 4.0) z))

simplify1.8s

Counts
23 → 23
Iterations

Useful iterations: done (1.8s)

IterNodesCost
045273
1109265
2402233
31948229
done5000205

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* z y))
0.0b
(- x (* 4.0 (* z y)))
0.2b
(pow (- x (* 4.0 (* z y))) 3)
37.6b
(cbrt (pow (- x (* 4.0 (* z y))) 3))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×cbrt-prod
10×pow1 add-exp-log add-cbrt-cube
unpow-prod-down cube-prod add-log-exp
cube-div expm1-log1p-u log1p-expm1-u
pow-unpow flip3-- fma-neg associate-*l* prod-diff pow-prod-down prod-exp flip-- cbrt-unprod
cube-mult cbrt-div unpow3 sqr-pow
pow-to-exp sub-neg pow-pow pow1/3 diff-log associate-*r* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 92
Calls
4 calls:
15.0ms
(* 4.0 (* z y))
6.0ms
(- x (* 4.0 (* z y)))
7.0ms
(pow (- x (* 4.0 (* z y))) 3)
6.0ms
(cbrt (pow (- x (* 4.0 (* z y))) 3))

series297.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* 4.0 (* z y))
54.0ms
(- x (* 4.0 (* z y)))
143.0ms
(pow (- x (* 4.0 (* z y))) 3)
76.0ms
(cbrt (pow (- x (* 4.0 (* z y))) 3))

simplify735.0ms

Counts
104 → 104
Iterations

Useful iterations: done (732.0ms)

IterNodesCost
01451411
13471192
211621068
done50011055

prune218.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x))
0.3b
(pow (* (* y 4.0) z) 3)
2.3b
(- (pow x 3) (pow (* (* y 4.0) z) 3))
38.5b
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x)))

rewrite122.0ms

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
10×pow1
add-log-exp
difference-cubes distribute-lft-out--
expm1-log1p-u log1p-expm1-u
pow-unpow pow-pow pow-prod-down pow-exp prod-exp associate-/r* cbrt-unprod rem-cube-cbrt
flip3-- flip-- associate-/l/
cbrt-undiv pow-to-exp sub-neg frac-2neg diff-log div-sub div-exp clear-num fma-udef div-inv
Counts
4 → 241
Calls
4 calls:
0.0ms
(fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x))
16.0ms
(pow (* (* y 4.0) z) 3)
26.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
66.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x))
52.0ms
(pow (* (* y 4.0) z) 3)
190.0ms
(- (pow x 3) (pow (* (* y 4.0) z) 3))
125.0ms
(/ (- (pow x 3) (pow (* (* y 4.0) z) 3)) (fma (* 4.0 (* z y)) (fma z (* y 4.0) x) (* x x)))

simplify1.6s

Counts
253 → 253
Iterations

Useful iterations: done (1.6s)

IterNodesCost
030510057
16877135
222296079
done50005311

prune537.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

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
077
197
done97

end0.0ms

sample424.0ms

Algorithm
intervals
Results
173.0ms9135×body80valid