Details

Time bar (total: 8.0s)

sample18.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms74×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
056
175
done75

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize5.0ms

Local error

Found 1 expressions with local error:

18.4b
(sqrt (fma x x y))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 add-cube-cbrt *-un-lft-identity
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
2.0ms
(sqrt (fma x x y))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(sqrt (fma x x y))

simplify1.1s

Counts
18 → 18
Iterations

Useful iterations: done (1.1s)

IterNodesCost
037145
176127
2210120
3956118
done5001117

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (fma x x y)))
0.6b
(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
18.4b
(sqrt (fma x x y))
18.4b
(sqrt (fma x x y))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
54×add-sqr-sqrt
38×sqrt-pow1
31×pow1
20×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 128
Calls
4 calls:
2.0ms
(sqrt (sqrt (fma x x y)))
25.0ms
(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
3.0ms
(sqrt (fma x x y))
3.0ms
(sqrt (fma x x y))

series314.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(sqrt (sqrt (fma x x y)))
59.0ms
(* (sqrt (sqrt (fma x x y))) (sqrt (sqrt (fma x x y))))
66.0ms
(sqrt (fma x x y))
67.0ms
(sqrt (fma x x y))

simplify991.0ms

Counts
140 → 140
Iterations

Useful iterations: done (985.0ms)

IterNodesCost
01141885
12471119
29851039
done50011021

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ y x) 1/2 x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y x) 1/2 x)

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(fma (/ y x) 1/2 x)

simplify1.9s

Counts
13 → 13
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
017110
124107
26895
324695
4112195
done500095

prune52.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (/ y x) 1/2 x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ y x) 1/2 x)

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(fma (/ y x) 1/2 x)

simplify1.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
017110
124107
26895
324695
4112195
done500095

prune33.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes67.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.4b

bsearch58.0ms

Steps
ItersRangePoint
7
8.459134100805035e+109
3.638681240743296e+111
3.588070708117172e+111
10
-9.986183728447351e+162
-1.6363070093370384e+150
-1.3649655464070602e+154

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
done1426

end0.0ms

sample881.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid
89.0ms2603×body80nan