Details

Time bar (total: 12.4s)

sample53.0ms

Algorithm
intervals
Results
24.0ms429×body80valid

simplify32.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:
0.0ms
(fma x x (* (* 3 y) y))
27.0ms
(* (* 3 y) y)

series85.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(fma x x (* (* 3 y) y))
27.0ms
(* (* 3 y) y)

simplify2.0s

Counts
36 → 36
Iterations
IterNodes
done5005
31436
2354
1124
052

prune197.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt
3×*-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 unswap-sqr
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma x x (* (* y y) 3))
29.0ms
(* (* y y) 3)

series89.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma x x (* (* y y) 3))
29.0ms
(* (* y y) 3)

simplify4.0s

Counts
37 → 37
Iterations
IterNodes
done5000
44450
31071
2353
1121
053

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

series45.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (* y y) 3 (* x x))

simplify1.6s

Counts
13 → 13
Iterations
IterNodes
done5002
51380
4336
3111
258
134
021

prune80.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* y y) 3 (* x x))
0.2b
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
7.4b
(sqrt (fma (* y y) 3 (* x x)))
7.4b
(sqrt (fma (* y y) 3 (* x x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
14×*-un-lft-identity add-cube-cbrt
10×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 log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square
1×pow2 rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod fma-udef
Counts
4 → 91
Calls
4 calls:
0.0ms
(fma (* y y) 3 (* x x))
19.0ms
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
1.0ms
(sqrt (fma (* y y) 3 (* x x)))
1.0ms
(sqrt (fma (* y y) 3 (* x x)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(fma (* y y) 3 (* x x))
51.0ms
(* (sqrt (fma (* y y) 3 (* x x))) (sqrt (fma (* y y) 3 (* x x))))
67.0ms
(sqrt (fma (* y y) 3 (* x x)))
75.0ms
(sqrt (fma (* y y) 3 (* x x)))

simplify1.6s

Counts
103 → 103
Iterations
IterNodes
done5006
31227
2309
1126
073

prune370.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes164.0ms

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
done6
06

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.0s14086×body80valid