Details

Time bar (total: 8.0s)

sample39.0ms

Algorithm
intervals
Results
22.0ms399×body80valid

simplify58.0ms

Counts
1 → 1
Iterations
IterNodes
done86
586
478
357
233
116
08

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

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

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(fma 3 (* z z) (* x y))

simplify1.6s

Counts
13 → 13
Iterations
IterNodes
done5001
3588
2115
137
021

prune133.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative sum-log fma-def flip3-+ associate-*r* *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
26.0ms
(+ (* 3 (* z z)) (* x y))
28.0ms
(* 3 (* z z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* 3 (* z z)) (* x y))
47.0ms
(* 3 (* z z))

simplify954.0ms

Counts
41 → 41
Iterations
IterNodes
done5001
21010
1203
061

prune249.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma y x (* z (* z 3)))
24.0ms
(* z (* z 3))

series102.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma y x (* z (* z 3)))
43.0ms
(* z (* z 3))

simplify806.0ms

Counts
36 → 36
Iterations
IterNodes
done5000
2520
1108
050

prune241.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* z 3))
0.3b
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
22.9b
(sqrt (* z (* z 3)))
22.9b
(sqrt (* z (* z 3)))

rewrite158.0ms

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-*l*
6×sqrt-prod
5×associate-*r*
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:
24.0ms
(* z (* z 3))
99.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
14.0ms
(sqrt (* z (* z 3)))
15.0ms
(sqrt (* z (* z 3)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* z (* z 3))
74.0ms
(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
44.0ms
(sqrt (* z (* z 3)))
42.0ms
(sqrt (* z (* z 3)))

simplify992.0ms

Counts
128 → 128
Iterations
IterNodes
done5001
21262
1215
085

prune593.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes583.0ms

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
done9
19
07

end0.0ms

sample1.0s

Algorithm
intervals
Results
685.0ms11978×body80valid