Details

Time bar (total: 9.1s)

sample28.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (15.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
5.5b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
add-exp-log add-cbrt-cube
associate-/r*
distribute-lft-out associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv add-log-exp
flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 58
Calls
2 calls:
13.0ms
(/ (* x y) 2.0)
15.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series100.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (* x y) 2.0)
73.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts
64 → 64
Iterations

Useful iterations: 3 (865.0ms)

IterNodesCost
0132802
1301759
2926699
33756654
done5000654

prune152.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (fma (/ x 2.0) y 1.0))
5.2b
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*r*
add-cbrt-cube
pow1
div-exp prod-exp
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
5.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
15.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
74.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify1.9s

Counts
77 → 77
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01341104
1305954
2765842
32050839
done5000830

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.5b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
10.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series123.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
58.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify1.7s

Counts
113 → 113
Iterations

Useful iterations: 3 (562.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (fma 0.5 x (/ 1.0 y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log
associate-/r* add-cbrt-cube associate-/l*
pow1 div-exp
cbrt-undiv expm1-log1p-u rec-exp pow-flip frac-2neg 1-exp clear-num log1p-expm1-u div-inv inv-pow add-log-exp
Counts
1 → 33
Calls
1 calls:
6.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify2.1s

Counts
36 → 36
Iterations

Useful iterations: done (2.1s)

IterNodesCost
081504
1163452
2381414
31018412
42972412
done5002411

prune59.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample374.0ms

Algorithm
intervals
Results
203.0ms8000×body80valid