Details

Time bar (total: 12.3s)

sample24.0ms

Algorithm
intervals
Results
9.0ms325×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (698.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
0.0b
(+ 0.75 (/ (- x z) y))
0.0b
(/ (- x z) y)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
22×add-sqr-sqrt
15×times-frac
14×add-cube-cbrt
5×add-exp-log add-cbrt-cube associate-/l* add-log-exp
4×distribute-lft-out-- difference-of-squares
3×pow1 expm1-log1p-u fma-def associate-/r* log1p-expm1-u
2×div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ fma-udef div-inv distribute-lft-out
Counts
3 → 68
Calls
3 calls:
0.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
22.0ms
(+ 0.75 (/ (- x z) y))
21.0ms
(/ (- x z) y)

series81.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(fma (+ 0.75 (/ (- x z) y)) 4.0 1.0)
18.0ms
(+ 0.75 (/ (- x z) y))
29.0ms
(/ (- x z) y)

simplify987.0ms

Counts
77 → 77
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
0118796
1267753
2691703
32302694
done5001691

prune185.0ms

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

rewrite23.0ms

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 4.0 (/ (- x z) y) 4.0)
18.0ms
(/ (- x z) y)

series60.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(fma 4.0 (/ (- x z) y) 4.0)
28.0ms
(/ (- x z) y)

simplify2.4s

Counts
56 → 56
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
091570
1193545
2461497
31314497
44826496
done5000496

prune119.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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 4.0 (- (/ x y) (/ z y)) 4.0)
35.0ms
(- (/ x y) (/ z y))

series51.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(fma 4.0 (- (/ x y) (/ z y)) 4.0)
24.0ms
(- (/ x y) (/ z y))

simplify1.3s

Counts
223 → 223
Iterations

Useful iterations: done (1.3s)

IterNodesCost
03268064
17147067
215605114
done50003704

prune217.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y 0.75))
0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.1b
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt add-log-exp
6×fma-def
3×pow1 expm1-log1p-u times-frac associate-/r* log1p-expm1-u
2×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp sum-log flip-+ associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv distribute-lft-out associate-/l*
Counts
3 → 58
Calls
3 calls:
6.0ms
(+ x (* y 0.75))
21.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
49.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series98.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ x (* y 0.75))
32.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
40.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify783.0ms

Counts
67 → 67
Iterations

Useful iterations: done (781.0ms)

IterNodesCost
0118899
1333841
21145709
done5000679

prune169.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes67.0ms

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
0810
done810

end0.0ms

sample607.0ms

Algorithm
intervals
Results
292.0ms10030×body80valid