Details

Time bar (total: 12.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms321×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (3.0ms)

IterNodesCost
079
1119
2208
3318
4468
5658
6888
71258
81898
92748
104178
118718
1246038
done50008

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (- z x) y x)
7.7b
(/ (fma (- z x) y x) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
associate-/r* associate-/l*
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma (- z x) y x)
2.0ms
(/ (fma (- z x) y x) z)

series83.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(fma (- z x) y x)
51.0ms
(/ (fma (- z x) y x) z)

simplify1.3s

Counts
45 → 45
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
066554
1117542
2267492
3829492
43079492
done5000492

prune130.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 2.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
4.8b
(/ (* x y) z)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
30×add-sqr-sqrt
28×add-cube-cbrt prod-diff
24×times-frac
13×fma-def
10×distribute-lft-out add-log-exp
add-exp-log add-cbrt-cube
div-inv
fma-neg
pow1 expm1-log1p-u associate-/r* log1p-expm1-u
cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* difference-of-squares
Counts
3 → 103
Calls
3 calls:
11.0ms
(+ (/ x z) y)
85.0ms
(- (+ (/ x z) y) (/ (* x y) z))
4.0ms
(/ (* x y) z)

series80.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
33.0ms
(- (+ (/ x z) y) (/ (* x y) z))
26.0ms
(/ (* x y) z)

simplify726.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01542085
13861744
213571457
done50001457

prune235.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(+ (+ (/ x z) y) (/ (- x) (/ z y)))
5.7b
(/ (- x) (/ z y))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
238×times-frac
139×*-un-lft-identity
130×add-sqr-sqrt add-cube-cbrt
42×distribute-lft-neg-in distribute-rgt-neg-in
17×fma-def
14×neg-mul-1
13×associate-/r* div-inv
10×associate-/l* add-log-exp
add-exp-log add-cbrt-cube
distribute-lft-out
sum-log
pow1 cbrt-undiv expm1-log1p-u flip3-+ distribute-frac-neg div-exp flip-+ log1p-expm1-u
+-commutative neg-sub0 div-sub frac-add
associate-+r- associate-+l+ frac-2neg unsub-neg clear-num associate-/r/
Counts
3 → 225
Calls
3 calls:
10.0ms
(+ (/ x z) y)
101.0ms
(+ (+ (/ x z) y) (/ (- x) (/ z y)))
9.0ms
(/ (- x) (/ z y))

series85.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
37.0ms
(+ (+ (/ x z) y) (/ (- x) (/ z y)))
28.0ms
(/ (- x) (/ z y))

simplify1.3s

Counts
234 → 234
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03583152
19362879
229512800
done50002799

prune616.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(+ (+ (/ x z) y) (* (/ (- x) z) y))
2.1b
(* (/ (- x) z) y)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
37×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*l*
32×add-cube-cbrt
17×fma-def
10×add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
add-exp-log add-cbrt-cube
pow1
sum-log
distribute-lft-neg-out expm1-log1p-u neg-mul-1 flip3-+ distribute-frac-neg associate-*r* associate-*l/ flip-+ log1p-expm1-u
+-commutative frac-add prod-exp cbrt-unprod div-inv distribute-lft-out unswap-sqr
cbrt-undiv associate-+l+ div-exp unsub-neg pow-prod-down *-commutative
Counts
3 → 106
Calls
3 calls:
10.0ms
(+ (/ x z) y)
56.0ms
(+ (+ (/ x z) y) (* (/ (- x) z) y))
16.0ms
(* (/ (- x) z) y)

series83.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (/ x z) y)
36.0ms
(+ (+ (/ x z) y) (* (/ (- x) z) y))
27.0ms
(* (/ (- x) z) y)

simplify685.0ms

Counts
115 → 115
Iterations

Useful iterations: done (682.0ms)

IterNodesCost
01591007
1414948
21230889
done5000866

prune293.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes59.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21712
32012
done2012

end0.0ms

sample686.0ms

Algorithm
intervals
Results
485.0ms10093×body80valid