Details

Time bar (total: 33.3s)

sample35.0ms

Algorithm
intervals
Results
10.0ms338×body80valid

simplify89.0ms

Counts
1 → 1
Iterations
IterNodes
done71
471
349
224
114
08

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma y (fma y x z) t)

rewrite2.0ms

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:
2.0ms
(fma y (fma y x z) t)

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(fma y (fma y x z) t)

simplify4.0s

Counts
14 → 14
Iterations
IterNodes
done5009
41968
3366
289
141
024

prune291.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma y (fma y x z) t))
0.1b
(fma y (fma y x z) t)
0.1b
(fma y (fma y x z) t)
0.3b
(* (sqrt (fma y (fma y x z) t)) (sqrt (fma y (fma y x z) t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×*-un-lft-identity add-cube-cbrt
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log
5×pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×fma-udef
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 90
Calls
4 calls:
3.0ms
(sqrt (fma y (fma y x z) t))
1.0ms
(fma y (fma y x z) t)
1.0ms
(fma y (fma y x z) t)
28.0ms
(* (sqrt (fma y (fma y x z) t)) (sqrt (fma y (fma y x z) t)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(sqrt (fma y (fma y x z) t))
107.0ms
(fma y (fma y x z) t)
90.0ms
(fma y (fma y x z) t)
127.0ms
(* (sqrt (fma y (fma y x z) t)) (sqrt (fma y (fma y x z) t)))

simplify8.9s

Counts
102 → 102
Iterations
IterNodes
done5000
44841
31289
2473
1218
0103

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma y (fma y x z) t)
0.1b
(fma y (fma y x z) t)
0.2b
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t))))
0.3b
(* (sqrt (fma y (fma y x z) t)) (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t)))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
83×sqrt-pow1
71×sqrt-prod
65×pow1
52×add-sqr-sqrt
43×pow1/2
39×pow-prod-up
18×*-un-lft-identity add-cube-cbrt
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-cbrt-cube add-exp-log pow-sqr unswap-sqr
10×associate-*r*
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative fma-udef
1×pow2 rem-square-sqrt pow-plus
Counts
4 → 149
Calls
4 calls:
1.0ms
(fma y (fma y x z) t)
1.0ms
(fma y (fma y x z) t)
32.0ms
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t))))
97.0ms
(* (sqrt (fma y (fma y x z) t)) (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t)))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(fma y (fma y x z) t)
137.0ms
(fma y (fma y x z) t)
300.0ms
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t))))
92.0ms
(* (sqrt (fma y (fma y x z) t)) (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (fma y (fma y x z) t)))))

simplify4.5s

Counts
161 → 161
Iterations
IterNodes
done5000
31821
2823
1395
0162

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize157.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt (fma y (fma y x z) t))))
0.2b
(* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
0.2b
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
0.3b
(* (sqrt (fma y (fma y x z) t)) (* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))))

rewrite555.0ms

Algorithm
rewrite-expression-head
Rules
282×sqrt-pow1
135×pow1
125×pow-prod-up
108×sqrt-prod
98×pow1/2
56×add-sqr-sqrt
28×pow-prod-down
25×associate-*r*
20×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
16×associate-*l*
12×unswap-sqr
10×prod-exp cbrt-unprod
9×pow3
6×sqrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×rem-sqrt-square pow-plus *-commutative
Counts
4 → 208
Calls
4 calls:
7.0ms
(sqrt (sqrt (sqrt (fma y (fma y x z) t))))
127.0ms
(* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
40.0ms
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
354.0ms
(* (sqrt (fma y (fma y x z) t)) (* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
353.0ms
(sqrt (sqrt (sqrt (fma y (fma y x z) t))))
316.0ms
(* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
484.0ms
(* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t)))))
117.0ms
(* (sqrt (fma y (fma y x z) t)) (* (* (sqrt (sqrt (fma y (fma y x z) t))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))) (sqrt (sqrt (sqrt (fma y (fma y x z) t))))))

simplify3.9s

Counts
220 → 220
Iterations
IterNodes
done5013
21377
1683
0257

prune2.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
631.0ms11386×body80valid