Details

Time bar (total: 14.6s)

sample34.0ms

Algorithm
intervals
Results
16.0ms441×body80valid

simplify81.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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:
1.0ms
(fma x x (* (* y 3) y))
28.0ms
(* (* y 3) y)

series137.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma x x (* (* y 3) y))
50.0ms
(* (* y 3) y)

simplify528.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2681
1122
053

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.2b
(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:
1.0ms
(fma (* y y) 3 (* x x))

series58.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(fma (* y y) 3 (* x x))

simplify6.2s

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

prune70.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* y 3) y)
0.3b
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
21.2b
(sqrt (* (* y 3) y))
21.2b
(sqrt (* (* y 3) y))

rewrite159.0ms

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:
16.0ms
(* (* y 3) y)
103.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
18.0ms
(sqrt (* (* y 3) y))
11.0ms
(sqrt (* (* y 3) y))

series264.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* y 3) y)
114.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* (* y 3) y)))
41.0ms
(sqrt (* (* y 3) y))
65.0ms
(sqrt (* (* y 3) y))

simplify949.0ms

Counts
128 → 128
Iterations
IterNodes
done5001
21496
1221
088

prune438.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* y y))
0.3b
(* (sqrt (* (* y 3) y)) (sqrt (* 3 (* y y))))
21.2b
(sqrt (* (* y 3) y))
21.2b
(sqrt (* 3 (* y y)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
59×pow1
38×pow-prod-down
24×sqrt-pow1
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
5×associate-*r*
4×expm1-log1p-u pow1/2 prod-exp sqrt-prod cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×sqrt-unprod
Counts
4 → 82
Calls
4 calls:
26.0ms
(* 3 (* y y))
104.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* 3 (* y y))))
22.0ms
(sqrt (* (* y 3) y))
23.0ms
(sqrt (* 3 (* y y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* 3 (* y y))
113.0ms
(* (sqrt (* (* y 3) y)) (sqrt (* 3 (* y y))))
44.0ms
(sqrt (* (* y 3) y))
65.0ms
(sqrt (* 3 (* y y)))

simplify2.6s

Counts
94 → 94
Iterations
IterNodes
done5001
21437
1205
088

prune407.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s14081×body80valid