Details

Time bar (total: 13.7s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x y) 2.0)
9.3b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
9×add-exp-log add-cbrt-cube
7×associate-/r*
4×distribute-lft-out associate-/l*
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u div-inv add-log-exp
1×flip3-+ prod-exp cbrt-unprod flip-+
Counts
2 → 58
Calls
2 calls:
21.0ms
(/ (* x y) 2.0)
37.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* x y) 2.0)
105.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify2.7s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0132802
1301759
2926699
33756654
done5000654

prune181.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (fma (/ x 2.0) y 1.0))
8.9b
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

rewrite53.0ms

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*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
11.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
36.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
97.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify2.9s

Counts
77 → 77
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01341104
1305954
2765842
32050839
done5000830

prune198.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ x (/ 2.0 y))
9.3b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
61×*-un-lft-identity
53×add-sqr-sqrt add-cube-cbrt
17×associate-/r*
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
4×cbrt-undiv div-exp distribute-lft-out
3×associate-/r/
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 107
Calls
2 calls:
17.0ms
(/ x (/ 2.0 y))
62.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x (/ 2.0 y))
88.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify3.2s

Counts
113 → 113
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
02291496
14971391
215511280
349321276
done50001276

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
9.2b
(/ (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
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×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)

series146.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
62.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.5s

Counts
113 → 113
Iterations

Useful iterations: 3 (763.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune210.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample598.0ms

Algorithm
intervals
Results
391.0ms7998×body80valid
0.0ms2×body1280valid