Details

Time bar (total: 11.8s)

sample22.0ms

Algorithm
intervals
Results
10.0ms323×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 7 (517.0ms)

IterNodesCost
01213
12213
24912
310811
422311
541911
666411
796610
8155710
9388710
done500010

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
12.0ms
(/ (- x z) y)
0.0ms
(fma 4.0 (+ 0.25 (/ (- x z) y)) 1.0)

series54.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- x z) y)
28.0ms
(fma 4.0 (+ 0.25 (/ (- x z) y)) 1.0)

simplify1.7s

Counts
56 → 56
Iterations

Useful iterations: 4 (622.0ms)

IterNodesCost
095596
1202571
2457522
31154522
43346518
done5000518

prune145.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-- difference-of-squares
3×associate-/r*
2×pow1 expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 50
Calls
2 calls:
0.0ms
(fma (/ (- x z) y) 4.0 2.0)
9.0ms
(/ (- x z) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(fma (/ (- x z) y) 4.0 2.0)
29.0ms
(/ (- x z) y)

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 4 (652.0ms)

IterNodesCost
092570
1194545
2437497
31157497
43576496
done5001496

prune133.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
253×times-frac
205×add-sqr-sqrt
201×*-un-lft-identity
193×add-cube-cbrt
169×prod-diff
29×div-inv
13×fma-neg
4×distribute-lft-out-- add-log-exp difference-of-squares
2×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
1×sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- fma-udef sub-div
Counts
2 → 217
Calls
2 calls:
0.0ms
(fma (- (/ x y) (/ z y)) 4.0 2.0)
26.0ms
(- (/ x y) (/ z y))

series50.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(fma (- (/ x y) (/ z y)) 4.0 2.0)
21.0ms
(- (/ x y) (/ z y))

simplify1.3s

Counts
223 → 223
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03278064
16837067
216525114
done50003704

prune239.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
0.0b
(/ (- x z) y)
0.3b
(pow (/ (- x z) y) 3)
31.0b
(cbrt (pow (/ (- x z) y) 3))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt *-un-lft-identity
75×times-frac
52×add-cube-cbrt
44×cbrt-prod
38×unpow-prod-down cube-prod
16×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×pow1 div-inv associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-/r*
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num flip-- rem-cbrt-cube fma-udef
Counts
4 → 166
Calls
4 calls:
0.0ms
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
9.0ms
(/ (- x z) y)
8.0ms
(pow (/ (- x z) y) 3)
8.0ms
(cbrt (pow (/ (- x z) y) 3))

series179.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(fma (cbrt (pow (/ (- x z) y) 3)) 4.0 2.0)
30.0ms
(/ (- x z) y)
43.0ms
(pow (/ (- x z) y) 3)
53.0ms
(cbrt (pow (/ (- x z) y) 3))

simplify724.0ms

Counts
178 → 178
Iterations

Useful iterations: 2 (294.0ms)

IterNodesCost
02132562
15542081
218111885
done50001885

prune358.0ms

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
0910
done910

end0.0ms

sample537.0ms

Algorithm
intervals
Results
320.0ms10106×body80valid