Details

Time bar (total: 24.4s)

sample33.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify44.0ms

Counts
1 → 1
Iterations
IterNodes
done27
527
426
324
220
115
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma (/ x 2.0) y 1.0)))
7.6b
(/ y (fma (/ x 2.0) y 1.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
47×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
37×times-frac
4×add-exp-log add-cbrt-cube div-inv add-log-exp
3×fma-neg associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- distribute-lft-out--
Counts
2 → 88
Calls
2 calls:
48.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
10.0ms
(/ y (fma (/ x 2.0) y 1.0))

series191.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
122.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify5.9s

Counts
94 → 94
Iterations
IterNodes
done5000
34120
21426
1501
0202

prune590.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
0.1b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
7.6b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
217×add-sqr-sqrt
208×*-un-lft-identity
203×add-cube-cbrt
132×prod-diff
19×div-inv
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×associate-/l*
5×add-log-exp difference-of-squares
4×pow1 cbrt-undiv associate-/r/
3×expm1-log1p-u fma-neg log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out--
1×sub-neg flip3-- pow-flip diff-log flip-- inv-pow
Counts
3 → 263
Calls
3 calls:
61.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
20.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
10.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series288.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
122.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
94.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify4.4s

Counts
272 → 272
Iterations
IterNodes
done5001
23269
11362
0516

prune2.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma y (- (* y (* x 0.5)) 1.0) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma y (- (* y (* x 0.5)) 1.0) x)

series82.0ms

Counts
1 → 3
Calls
1 calls:
82.0ms
(fma y (- (* y (* x 0.5)) 1.0) x)

simplify4.2s

Counts
13 → 13
Iterations
IterNodes
done5001
41303
3320
2120
150
025

prune99.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ y (fma (/ x 2.0) y 1.0))
7.6b
(/ y (fma (/ x 2.0) y 1.0))
7.6b
(/ y (fma (/ x 2.0) y 1.0))
32.2b
(cbrt (* (* (- x (/ y (fma (/ x 2.0) y 1.0))) (- x (/ y (fma (/ x 2.0) y 1.0)))) (- x (/ y (fma (/ x 2.0) y 1.0)))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity
27×flip3-- times-frac flip--
26×cbrt-div
14×associate-*l/
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
8×associate-*r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 125
Calls
4 calls:
9.0ms
(/ y (fma (/ x 2.0) y 1.0))
10.0ms
(/ y (fma (/ x 2.0) y 1.0))
10.0ms
(/ y (fma (/ x 2.0) y 1.0))
206.0ms
(cbrt (* (* (- x (/ y (fma (/ x 2.0) y 1.0))) (- x (/ y (fma (/ x 2.0) y 1.0)))) (- x (/ y (fma (/ x 2.0) y 1.0)))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ y (fma (/ x 2.0) y 1.0))
152.0ms
(/ y (fma (/ x 2.0) y 1.0))
165.0ms
(/ y (fma (/ x 2.0) y 1.0))
74.0ms
(cbrt (* (* (- x (/ y (fma (/ x 2.0) y 1.0))) (- x (/ y (fma (/ x 2.0) y 1.0)))) (- x (/ y (fma (/ x 2.0) y 1.0)))))

simplify3.0s

Counts
137 → 137
Iterations
IterNodes
done5001
21568
1425
0194

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.1s

Algorithm
intervals
Results
625.0ms7999×body80valid
0.0ms1×body320valid