Details

Time bar (total: 7.7s)

sample29.0ms

Algorithm
intervals
Results
12.0ms304×body80valid
2.0ms10×body1280valid
1.0ms10×body640valid
1.0msbody160valid
0.0msbody320valid

simplify208.0ms

Counts
1 → 1
Iterations
IterNodes
done278
7278
6276
5264
4191
382
232
114
07

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
prod-diff
associate-*r*
distribute-rgt-in distribute-lft-in add-log-exp
associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
expm1-log1p-u sub-neg flip3-- fma-neg log1p-expm1-u flip--
associate-*l/ *-commutative
diff-log unswap-sqr
Counts
3 → 74
Calls
3 calls:
9.0ms
(- 2.0 (* x 3.0))
27.0ms
(* 3.0 (- 2.0 (* x 3.0)))
31.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series261.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- 2.0 (* x 3.0))
79.0ms
(* 3.0 (- 2.0 (* x 3.0)))
124.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify1.4s

Counts
83 → 83
Iterations
IterNodes
done5000
21361
1280
0113

prune347.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 6.0) (* (* x x) 9.0))
0.2b
(* (* x x) 9.0)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt add-log-exp
*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
expm1-log1p-u log1p-expm1-u
sub-neg flip3-- fma-neg diff-log associate-*l* prod-diff *-commutative flip-- unswap-sqr
Counts
2 → 37
Calls
2 calls:
6.0ms
(- (* x 6.0) (* (* x x) 9.0))
25.0ms
(* (* x x) 9.0)

series129.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(- (* x 6.0) (* (* x x) 9.0))
34.0ms
(* (* x x) 9.0)

simplify1.4s

Counts
43 → 43
Iterations
IterNodes
done5001
21214
1197
071

prune186.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x 6.0 (- (* 9.0 (* x x))))
0.2b
(* 9.0 (* x x))
0.2b
(* 9.0 (* x x))
35.8b
(fma (- 9.0) (* x x) (* 9.0 (* x x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r* *-commutative fma-udef unswap-sqr
Counts
4 → 62
Calls
4 calls:
0.0ms
(fma x 6.0 (- (* 9.0 (* x x))))
13.0ms
(* 9.0 (* x x))
14.0ms
(* 9.0 (* x x))
1.0ms
(fma (- 9.0) (* x x) (* 9.0 (* x x)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma x 6.0 (- (* 9.0 (* x x))))
50.0ms
(* 9.0 (* x x))
30.0ms
(* 9.0 (* x x))
98.0ms
(fma (- 9.0) (* x x) (* 9.0 (* x x)))

simplify744.0ms

Counts
74 → 74
Iterations
IterNodes
done5000
2711
1142
064

prune458.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* x 9.0))
0.1b
(* x (- 6.0 (* x 9.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
prod-diff
*-un-lft-identity add-cube-cbrt
distribute-rgt-in distribute-lft-in
pow1 add-cbrt-cube add-exp-log add-log-exp
sub-neg fma-neg associate-*r* associate-*l*
expm1-log1p-u flip3-- associate-*r/ log1p-expm1-u flip--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
9.0ms
(- 6.0 (* x 9.0))
28.0ms
(* x (- 6.0 (* x 9.0)))

series174.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(- 6.0 (* x 9.0))
116.0ms
(* x (- 6.0 (* x 9.0)))

simplify776.0ms

Counts
58 → 58
Iterations
IterNodes
done5000
2811
1197
082

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done20
220
115
010

end0.0ms

sample759.0ms

Algorithm
intervals
Results
410.0ms9779×body80valid
92.0ms330×body1280valid
50.0ms142×body320valid
35.0ms289×body640valid
4.0ms63×body160valid