Details

Time bar (total: 10.5s)

sample22.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify18.0ms

Counts
1 → 1
Iterations
IterNodes
done30
530
429
326
222
115
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

8.3b
(/ y (fma x (/ y 2.0) 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
associate-/r* add-cbrt-cube add-exp-log associate-/l*
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
4.0ms
(/ y (fma x (/ y 2.0) 1.0))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ y (fma x (/ y 2.0) 1.0))

simplify2.0s

Counts
32 → 32
Iterations
IterNodes
done5000
34475
2716
1174
082

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
8.2b
(/ (fma x (/ y 2.0) 1.0) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
15×add-exp-log
add-cbrt-cube
div-exp
div-inv associate-/l*
cbrt-undiv
pow1
expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp
associate-/r/ pow-flip inv-pow
Counts
2 → 107
Calls
2 calls:
11.0ms
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
6.0ms
(/ (fma x (/ y 2.0) 1.0) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (/ (fma x (/ y 2.0) 1.0) y))
52.0ms
(/ (fma x (/ y 2.0) 1.0) y)

simplify1.1s

Counts
113 → 113
Iterations
IterNodes
done5000
22045
1445
0184

prune443.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp fma-udef div-inv pow-flip inv-pow
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma x 0.5 (/ 1.0 y))
8.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma x 0.5 (/ 1.0 y))
87.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify3.3s

Counts
49 → 49
Iterations
IterNodes
done5000
34543
2726
1178
089

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

8.3b
(/ y (fma x (/ y 2.0) 1.0))
8.3b
(/ y (fma x (/ y 2.0) 1.0))
8.3b
(/ y (fma x (/ y 2.0) 1.0))
39.3b
(cbrt (* (/ y (fma x (/ y 2.0) 1.0)) (* (/ y (fma x (/ y 2.0) 1.0)) (/ y (fma x (/ y 2.0) 1.0)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
associate-/r* associate-/l*
cbrt-div
frac-times associate-*r/
expm1-log1p-u pow1 log1p-expm1-u add-log-exp
cbrt-undiv clear-num frac-2neg div-exp associate-*l/ div-inv
cbrt-prod pow1/3 cube-unmult rem-cbrt-cube
Counts
4 → 106
Calls
4 calls:
4.0ms
(/ y (fma x (/ y 2.0) 1.0))
4.0ms
(/ y (fma x (/ y 2.0) 1.0))
5.0ms
(/ y (fma x (/ y 2.0) 1.0))
30.0ms
(cbrt (* (/ y (fma x (/ y 2.0) 1.0)) (* (/ y (fma x (/ y 2.0) 1.0)) (/ y (fma x (/ y 2.0) 1.0)))))

series361.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(/ y (fma x (/ y 2.0) 1.0))
71.0ms
(/ y (fma x (/ y 2.0) 1.0))
85.0ms
(/ y (fma x (/ y 2.0) 1.0))
129.0ms
(cbrt (* (/ y (fma x (/ y 2.0) 1.0)) (* (/ y (fma x (/ y 2.0) 1.0)) (/ y (fma x (/ y 2.0) 1.0)))))

simplify940.0ms

Counts
118 → 118
Iterations
IterNodes
done5000
21145
1269
0123

prune722.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
08

end0.0ms

sample640.0ms

Algorithm
intervals
Results
443.0ms7998×body80valid
0.0msbody1280valid
0.0msbody2560valid