Details

Time bar (total: 7.1s)

sample34.0ms

Algorithm
intervals
Results
15.0ms324×body80valid

simplify309.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2447
3987
42227
53817
63957
done3957

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
flip3-+ flip-+
add-sqr-sqrt
frac-times associate-*r* associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*r/ associate-*l/ distribute-lft-out
distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
48.0ms
(* (+ x y) (+ z 1.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) (+ z 1.0))

simplify1.2s

Counts
35 → 35
Iterations

Useful iterations: 2 (244.0ms)

IterNodesCost
081431
1289405
21386377
done5000377

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* z (+ x y)) (* (+ x y) 1.0))
0.0b
(* z (+ x y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity flip3-+ associate-*r/ flip-+
pow1 add-exp-log add-cube-cbrt associate-*r* associate-*l/ frac-add add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in expm1-log1p-u associate-+l+ distribute-lft-in log1p-expm1-u
+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 45
Calls
2 calls:
18.0ms
(+ (* z (+ x y)) (* (+ x y) 1.0))
36.0ms
(* z (+ x y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* z (+ x y)) (* (+ x y) 1.0))
39.0ms
(* z (+ x y))

simplify1.1s

Counts
51 → 51
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0101698
1343619
21718527
done5002525

prune164.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (* x x) (* y y))
2.7b
(- (* x x) (* y y))
12.9b
(fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))
40.2b
(/ (* (- x y) (fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))) (* (- x y) (- x y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
flip3-- flip--
associate-/r/ add-log-exp
pow1 cbrt-undiv add-sqr-sqrt expm1-log1p-u frac-times add-cube-cbrt *-un-lft-identity div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u
sub-neg fma-neg diff-log associate-*r/ prod-diff associate-/l/ difference-of-squares
frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
4 → 77
Calls
4 calls:
9.0ms
(- (* x x) (* y y))
10.0ms
(- (* x x) (* y y))
0.0ms
(fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))
61.0ms
(/ (* (- x y) (fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))) (* (- x y) (- x y)))

series319.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* x x) (* y y))
44.0ms
(- (* x x) (* y y))
114.0ms
(fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))
107.0ms
(/ (* (- x y) (fma z (- (* x x) (* y y)) (* (- (* x x) (* y y)) 1.0))) (* (- x y) (- x y)))

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: 2 (330.0ms)

IterNodesCost
01322090
14121903
221521143
done50001143

prune323.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes162.0ms

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
1107
done107

end0.0ms

sample899.0ms

Algorithm
intervals
Results
394.0ms9989×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody320valid