Details

Time bar (total: 13.4s)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (8.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (fma (/ x 2.0) y 1.0)))
9.0b
(/ y (fma (/ x 2.0) y 1.0))

rewrite48.0ms

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:
32.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
9.0ms
(/ y (fma (/ x 2.0) y 1.0))

series142.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- x (/ y (fma (/ x 2.0) y 1.0)))
76.0ms
(/ y (fma (/ x 2.0) y 1.0))

simplify3.1s

Counts
94 → 94
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02023491
14673104
212602276
343741765
done50001765

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

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))
9.0b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite66.0ms

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:
33.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
10.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
5.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series229.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (/ 1 (/ (fma (/ x 2.0) y 1.0) y)))
89.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
78.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.0s

Counts
272 → 272
Iterations

Useful iterations: done (1.9s)

IterNodesCost
051613640
1125311229
223788165
done50016698

prune470.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
38×times-frac
7×add-exp-log
5×add-cbrt-cube div-inv add-log-exp
4×pow1
3×expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l* difference-of-squares
2×div-exp distribute-lft-out--
1×cbrt-undiv sub-neg rec-exp flip3-- pow-flip frac-2neg diff-log 1-exp clear-num flip-- fma-udef inv-pow
Counts
3 → 104
Calls
3 calls:
13.0ms
(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
0.0ms
(fma 0.5 x (/ 1.0 y))
6.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- x (/ 1 (fma 0.5 x (/ 1.0 y))))
49.0ms
(fma 0.5 x (/ 1.0 y))
67.0ms
(/ 1 (fma 0.5 x (/ 1.0 y)))

simplify3.0s

Counts
113 → 113
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02033658
14562921
29102114
325471866
done50011268

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))))
5.9b
(sqrt (fma (/ x 2.0) y 1.0))
5.9b
(sqrt (fma (/ x 2.0) y 1.0))

rewrite81.0ms

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 log1p-expm1-u add-log-exp
3×rec-exp pow-flip sqrt-pow1 pow1/2 1-exp div-inv associate-/l*
2×rem-sqrt-square
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 162
Calls
4 calls:
22.0ms
(/ 1 (sqrt (fma (/ x 2.0) y 1.0)))
44.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
2.0ms
(sqrt (fma (/ x 2.0) y 1.0))
2.0ms
(sqrt (fma (/ x 2.0) y 1.0))

series620.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(/ 1 (sqrt (fma (/ x 2.0) y 1.0)))
83.0ms
(* (/ 1 (sqrt (fma (/ x 2.0) y 1.0))) (/ y (sqrt (fma (/ x 2.0) y 1.0))))
111.0ms
(sqrt (fma (/ x 2.0) y 1.0))
175.0ms
(sqrt (fma (/ x 2.0) y 1.0))

simplify1.8s

Counts
174 → 174
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02283614
16053187
217892628
done50002609

prune402.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11110
done1110

end0.0ms

sample758.0ms

Algorithm
intervals
Results
479.0ms8000×body80valid