Details

Time bar (total: 15.5s)

sample34.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify18.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma (/ x 2.0) y 1.0)))
5.5b
(/ y (fma (/ x 2.0) y 1.0))

rewrite17.0ms

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-cbrt-cube add-exp-log div-inv add-log-exp
3×associate-/r* fma-neg associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- distribute-lft-out--
Counts
2 → 90
Calls
2 calls:
8.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
8.0ms
(/ y (fma (/ x 2.0) y 1.0))

series133.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
87.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify2.7s

Counts
96 → 96
Iterations
IterNodes
done5000
34216
21421
1502
0204

prune372.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize31.0ms

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))
5.5b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite51.0ms

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×associate-/r* add-exp-log
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 insert-posit16 log1p-expm1-u
2×rec-exp clear-num frac-2neg 1-exp distribute-lft-out--
1×sub-neg flip3-- diff-log pow-flip flip-- inv-pow
Counts
3 → 266
Calls
3 calls:
18.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
13.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
9.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series229.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
94.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
85.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.6s

Counts
275 → 275
Iterations
IterNodes
done5000
22871
11360
0519

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
38×times-frac
6×add-exp-log
5×div-inv
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r* fma-neg associate-/l* difference-of-squares
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u distribute-lft-out--
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp pow-flip flip-- inv-pow
Counts
2 → 96
Calls
2 calls:
14.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
9.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(- x (/ 1 (fma x 0.5 (/ 1.0 y))))
104.0ms
(/ 1 (fma x 0.5 (/ 1.0 y)))

simplify2.6s

Counts
102 → 102
Iterations
IterNodes
done5000
32979
2992
1470
0198

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (fma (/ x 2.0) y 1.0)))
0.1b
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
3.8b
(sqrt (fma (/ x 2.0) y 1.0))
3.8b
(sqrt (fma (/ x 2.0) y 1.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
30×add-exp-log
22×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×pow1 div-exp
8×prod-exp
6×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 166
Calls
4 calls:
10.0ms
(/ 1 (sqrt (fma (/ x 2.0) y 1.0)))
35.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
3.0ms
(sqrt (fma (/ x 2.0) y 1.0))
3.0ms
(sqrt (fma (/ x 2.0) y 1.0))

series683.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(/ 1 (sqrt (fma (/ x 2.0) y 1.0)))
89.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
172.0ms
(sqrt (fma (/ x 2.0) y 1.0))
150.0ms
(sqrt (fma (/ x 2.0) y 1.0))

simplify1.8s

Counts
178 → 178
Iterations
IterNodes
done5001
21977
1662
0231

prune800.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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
done11
111
09

end0.0ms

sample942.0ms

Algorithm
intervals
Results
782.0ms8000×body80valid