Details

Time bar (total: 13.4s)

sample31.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

9.3b
(/ y (fma (/ x 2.0) y 1.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ y (fma (/ x 2.0) y 1.0))

series108.0ms

Counts
1 → 3
Calls
1 calls:
108.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify3.1s

Counts
32 → 32
Iterations

Useful iterations: 3 (271.0ms)

IterNodesCost
082485
1166471
2443431
31170429
43490429
done5001429

prune167.0ms

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)))

rewrite41.0ms

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))
26.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

series194.0ms

Counts
2 → 6
Calls
2 calls:
78.0ms
(/ 1 (fma (/ x 2.0) y 1.0))
115.0ms
(* y (/ 1 (fma (/ x 2.0) y 1.0)))

simplify2.8s

Counts
77 → 77
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01341104
1305954
2765842
32050839
done5000830

prune187.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

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)

rewrite38.0ms

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:
20.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
10.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series176.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
93.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.2s

Counts
113 → 113
Iterations

Useful iterations: 3 (619.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune318.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 0.5 x (/ 1.0 y))
0.1b
(/ 1 (fma 0.5 x (/ 1.0 y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log
4×add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num fma-udef div-inv inv-pow
Counts
2 → 43
Calls
2 calls:
1.0ms
(fma 0.5 x (/ 1.0 y))
16.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(fma 0.5 x (/ 1.0 y))
88.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify2.9s

Counts
49 → 49
Iterations

Useful iterations: 3 (345.0ms)

IterNodesCost
088618
1175563
2400507
31058505
43123505
done5001505

prune155.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample707.0ms

Algorithm
intervals
Results
507.0ms7998×body80valid
0.0ms2×body1280valid