Details

Time bar (total: 17.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms333×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
079
1119
2208
3368
4548
5748
6978
71348
82028
92878
104128
116978
1216938
done50008

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize12.0ms

Local error

Found 1 expressions with local error:

9.7b
(/ (fma (- z x) y x) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (fma (- z x) y x) z)

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (fma (- z x) y x) z)

simplify1.9s

Counts
32 → 32
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
059438
1103429
2234397
3587397
41700397
done5000397

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
0.0b
(+ (/ x z) y)
7.1b
(/ (* x y) z)

rewrite281.0ms

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:
235.0ms
(- (+ (/ x z) y) (/ (* x y) z))
27.0ms
(+ (/ x z) y)
11.0ms
(/ (* x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (+ (/ x z) y) (/ (* x y) z))
38.0ms
(+ (/ x z) y)
28.0ms
(/ (* x y) z)

simplify2.2s

Counts
112 → 112
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01542085
13901744
213791437
done50001185

prune237.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (/ x z) y) (* (/ x z) (- y)))
0.0b
(+ (/ x z) y)
3.6b
(* (/ x z) (- y))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
19×times-frac
17×fma-def
13×associate-*l*
10×associate-*r* add-log-exp
add-exp-log add-cbrt-cube
pow1
sum-log
distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ associate-*l/ distribute-rgt-neg-out flip-+ log1p-expm1-u
+-commutative frac-add prod-exp cbrt-unprod div-inv distribute-lft-out unswap-sqr
cbrt-undiv neg-mul-1 associate-+l+ div-exp unsub-neg pow-prod-down *-commutative
Counts
3 → 92
Calls
3 calls:
191.0ms
(+ (+ (/ x z) y) (* (/ x z) (- y)))
36.0ms
(+ (/ x z) y)
28.0ms
(* (/ x z) (- y))

series139.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(+ (+ (/ x z) y) (* (/ x z) (- y)))
38.0ms
(+ (/ x z) y)
48.0ms
(* (/ x z) (- y))

simplify1.8s

Counts
101 → 101
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0138916
1386828
21410791
done5000741

prune332.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
351×times-frac
334×*-un-lft-identity
246×add-sqr-sqrt
237×add-cube-cbrt
176×prod-diff
47×distribute-lft-out
22×div-inv
13×fma-def associate-/r*
10×add-log-exp
add-exp-log add-cbrt-cube
associate-/r/
fma-neg
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u associate-/l* difference-of-squares
flip3-+ diff-log sum-log frac-sub flip-+ distribute-lft-out--
+-commutative sub-neg flip3-- frac-2neg associate--l+ clear-num flip--
Counts
3 → 302
Calls
3 calls:
189.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
18.0ms
(+ (/ x z) y)
9.0ms
(/ x (/ z y))

series105.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (+ (/ x z) y) (/ x (/ z y)))
21.0ms
(+ (/ x z) y)
35.0ms
(/ x (/ z y))

simplify2.4s

Counts
311 → 311
Iterations

Useful iterations: done (2.4s)

IterNodesCost
051512532
1129611507
242188521
done50008469

prune946.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
21712
32012
done2012

end0.0ms

sample735.0ms

Algorithm
intervals
Results
317.0ms10040×body80valid