Details

Time bar (total: 13.4s)

sample36.0ms

Algorithm
intervals
Results
16.0ms433×body80valid

simplify40.0ms

Counts
1 → 1
Iterations
IterNodes
done79
579
471
351
229
114
07

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x x (* (* y 3) y))
14.0ms
(* (* y 3) y)

series95.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma x x (* (* y 3) y))
41.0ms
(* (* y 3) y)

simplify756.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2681
1122
053

prune206.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* y y) 3 (* x x))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(fma (* y y) 3 (* x x))

simplify5.8s

Counts
13 → 13
Iterations
IterNodes
done5000
44012
3510
2117
134
021

prune71.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y 3) y)
0.3b
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
19.1b
(sqrt (* (* y 3) y))
19.1b
(sqrt (* (* y 3) y))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
11×add-sqr-sqrt add-cbrt-cube add-exp-log pow-sqr
9×*-un-lft-identity add-cube-cbrt
7×associate-*r*
6×sqrt-prod
5×associate-*l*
4×expm1-log1p-u swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 116
Calls
4 calls:
22.0ms
(* (* y 3) y)
82.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
15.0ms
(sqrt (* (* y 3) y))
11.0ms
(sqrt (* (* y 3) y))

series219.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* y 3) y)
80.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
45.0ms
(sqrt (* (* y 3) y))
66.0ms
(sqrt (* (* y 3) y))

simplify1.3s

Counts
128 → 128
Iterations
IterNodes
done5001
21496
1221
088

prune556.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

19.1b
(sqrt (* (* y 3) y))
19.1b
(sqrt (* (* y 3) y))
19.1b
(sqrt (* (* y 3) y))
19.1b
(sqrt (* (* y 3) y))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1
12×sqrt-pow1 pow-prod-down
4×add-sqr-sqrt expm1-log1p-u *-un-lft-identity add-cbrt-cube pow1/2 add-exp-log add-cube-cbrt sqrt-prod log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
21.0ms
(sqrt (* (* y 3) y))
21.0ms
(sqrt (* (* y 3) y))
13.0ms
(sqrt (* (* y 3) y))
18.0ms
(sqrt (* (* y 3) y))

series204.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (* (* y 3) y))
57.0ms
(sqrt (* (* y 3) y))
46.0ms
(sqrt (* (* y 3) y))
54.0ms
(sqrt (* (* y 3) y))

simplify1.9s

Counts
68 → 68
Iterations
IterNodes
done5000
81290
7483
6275
5169
4107
387
258
134
023

prune334.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.2s

Algorithm
intervals
Results
771.0ms14306×body80valid