Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
13.0ms483×body80valid

simplify274.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0146
1294
2504
3703
4823
51253
62293
73213
83363
94363
107903
1134923
1250013
done50013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* y y) (* x x))

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 3 (* y y) (* x x))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 3 (* y y) (* x x))

simplify68.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252
done500252

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
15.0ms
(+ (* 3 (* y y)) (* x x))
16.0ms
(* 3 (* y y))

series62.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* 3 (* y y)) (* x x))
28.0ms
(* 3 (* y y))

simplify78.0ms

Counts
41 → 41
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0173174
1696156
22692148
35001148
done5001148

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
16.0ms
(+ (* (* 3 y) y) (* x x))
16.0ms
(* (* 3 y) y)

series67.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (* 3 y) y) (* x x))
31.0ms
(* (* 3 y) y)

simplify128.0ms

Counts
40 → 40
Iterations

Useful iterations: 3 (126.0ms)

IterNodesCost
0182172
1899155
24389147
35001145
done5001145

prune66.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
0.2b
(* (sqrt 3) (* (sqrt 3) (* y y)))
0.3b
(* (sqrt 3) (* y y))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
add-cube-cbrt *-un-lft-identity sqrt-prod
add-log-exp
expm1-log1p-u log1p-expm1-u
associate-*r* *-commutative unswap-sqr
+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 65
Calls
3 calls:
44.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
51.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
23.0ms
(* (sqrt 3) (* y y))

series201.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
74.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))
49.0ms
(* (sqrt 3) (* y y))

simplify146.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0244426
11036342
24577311
35001311
done5001311

prune126.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104
done104

end0.0ms

sample569.0ms

Algorithm
intervals
Results
288.0ms14310×body80valid