Details

Time bar (total: 14.4s)

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ y (fma (/ x 2.0) y 1.0))

rewrite6.0ms

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 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))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify2.7s

Counts
32 → 32
Iterations

Useful iterations: 3 (293.0ms)

IterNodesCost
082485
1166471
2443431
31170429
43490429
done5001429

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.3b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite22.0ms

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:
12.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series156.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
69.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.6s

Counts
113 → 113
Iterations

Useful iterations: 3 (809.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune276.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log
add-cbrt-cube
pow1 associate-/r* associate-/l*
expm1-log1p-u div-exp log1p-expm1-u add-log-exp
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))
11.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma 0.5 x (/ 1.0 y))
75.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify3.4s

Counts
49 → 49
Iterations

Useful iterations: 3 (322.0ms)

IterNodesCost
088618
1175563
2400507
31058505
43123505
done5001505

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.4b
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))
6.7b
(cbrt (fma (/ x 2.0) y 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
times-frac pow1/3 associate-/l*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 62
Calls
4 calls:
14.0ms
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))
1.0ms
(cbrt (fma (/ x 2.0) y 1.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
559.0ms
(/ y (* (cbrt (fma (/ x 2.0) y 1.0)) (cbrt (fma (/ x 2.0) y 1.0))))
360.0ms
(cbrt (fma (/ x 2.0) y 1.0))
354.0ms
(cbrt (fma (/ x 2.0) y 1.0))
371.0ms
(cbrt (fma (/ x 2.0) y 1.0))

simplify2.1s

Counts
74 → 74
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01491573
13661497
211261359
339801286
done50001283

prune345.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
done810

end0.0ms

sample538.0ms

Algorithm
intervals
Results
272.0ms7996×body80valid
0.0msbody2560valid
0.0msbody1280valid