Details

Time bar (total: 15.3s)

sample33.0ms

Algorithm
intervals
Results
22.0ms449×body80valid

simplify81.0ms

Counts
1 → 1
Iterations
IterNodes
done69
569
465
350
229
114
07

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.1b
(* (* 3 y) y)

rewrite29.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 32
Calls
2 calls:
0.0ms
(fma x x (* (* 3 y) y))
28.0ms
(* (* 3 y) y)

series129.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(fma x x (* (* 3 y) y))
51.0ms
(* (* 3 y) y)

simplify2.2s

Counts
38 → 38
Iterations
IterNodes
done5001
31390
2365
1126
054

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
0.0ms
(fma 3 (* y y) (* x x))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(fma 3 (* y y) (* x x))

simplify3.3s

Counts
14 → 14
Iterations
IterNodes
done5000
41234
3275
288
139
022

prune52.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 3 y) y)
0.3b
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
18.9b
(sqrt (* (* 3 y) y))
18.9b
(sqrt (* (* 3 y) y))

rewrite142.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 rem-square-sqrt pow-plus sqrt-unprod unswap-sqr
Counts
4 → 120
Calls
4 calls:
26.0ms
(* (* 3 y) y)
89.0ms
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
12.0ms
(sqrt (* (* 3 y) y))
11.0ms
(sqrt (* (* 3 y) y))

series264.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 3 y) y)
117.0ms
(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
59.0ms
(sqrt (* (* 3 y) y))
55.0ms
(sqrt (* (* 3 y) y))

simplify1.9s

Counts
132 → 132
Iterations
IterNodes
done5000
31981
2556
1222
090

prune395.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

18.9b
(sqrt (* (* 3 y) y))
18.9b
(sqrt (* (* 3 y) y))
18.9b
(sqrt (* (* 3 y) y))
18.9b
(sqrt (* (* 3 y) y))

rewrite77.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
11.0ms
(sqrt (* (* 3 y) y))
22.0ms
(sqrt (* (* 3 y) y))
22.0ms
(sqrt (* (* 3 y) y))
22.0ms
(sqrt (* (* 3 y) y))

series200.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (* (* 3 y) y))
62.0ms
(sqrt (* (* 3 y) y))
40.0ms
(sqrt (* (* 3 y) y))
51.0ms
(sqrt (* (* 3 y) y))

simplify3.8s

Counts
72 → 72
Iterations
IterNodes
done5000
93603
81895
7863
6284
5148
496
374
257
137
024

prune448.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes229.0ms

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
done8
18
06

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s14093×body80valid