Details

Time bar (total: 8.3s)

sample12.0ms

Algorithm
intervals
Results
5.0ms257×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2155
3235
4305
5325
done325

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
17×*-un-lft-identity
15×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
associate-*r*
pow1 add-exp-log associate-*l* add-cbrt-cube
sub-neg associate-*r/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 46
Calls
1 calls:
34.0ms
(* 500.0 (- x y))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* 500.0 (- x y))

simplify1.3s

Counts
49 → 49
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0102721
1192548
2415438
31732396
done5001342

prune52.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 500.0 x) (* (- y) 500.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-lft-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt expm1-log1p-u add-cube-cbrt fma-def *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ log1p-expm1-u
Counts
1 → 16
Calls
1 calls:
8.0ms
(+ (* 500.0 x) (* (- y) 500.0))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(+ (* 500.0 x) (* (- y) 500.0))

simplify2.5s

Counts
19 → 19
Iterations

Useful iterations: done (2.5s)

IterNodesCost
032202
1112147
2440131
31770126
done5000124

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma 500.0 x (* (- y) 500.0))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 500.0 x (* (- y) 500.0))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma 500.0 x (* (- y) 500.0))

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
018120
12990
27280
330580
4144580
done500180

prune26.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* 500.0 (- (* x x) (* y y)))
4.8b
(- (* x x) (* y y))
28.2b
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt
pow1 add-log-exp
times-frac associate-*r/ associate-*r* associate-/r*
distribute-rgt-in expm1-log1p-u sub-neg flip3-- distribute-lft-in associate-*l* prod-diff flip-- log1p-expm1-u
cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out difference-of-squares
frac-2neg flip3-+ fma-neg diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
29.0ms
(* 500.0 (- (* x x) (* y y)))
9.0ms
(- (* x x) (* y y))
34.0ms
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

series182.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(* 500.0 (- (* x x) (* y y)))
38.0ms
(- (* x x) (* y y))
75.0ms
(/ (* 500.0 (- (* x x) (* y y))) (+ x y))

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01211155
13141104
21157935
done5000839

prune258.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3147
done147

end0.0ms

sample524.0ms

Algorithm
intervals
Results
283.0ms8050×body80valid
1.0msbody1280valid
1.0msbody640valid
1.0msbody320valid
1.0msbody2560valid