Details

Time bar (total: 9.2s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12217
23914
35814
48214
59214
611414
714414
819214
931814
1047714
1171814
12109614
13240614
done500014

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
14.8b
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-exp-log add-cbrt-cube add-log-exp
4×div-inv
3×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef distribute-lft-out--
Counts
3 → 98
Calls
3 calls:
8.0ms
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
2.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- x (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))
27.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
64.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify767.0ms

Counts
107 → 107
Iterations

Useful iterations: done (762.0ms)

IterNodesCost
02094807
14934294
216753078
done50003072

prune236.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
1.4b
(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
14.8b
(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
15.3b
(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
5×expm1-log1p-u
4×pow1 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p frac-2neg log1p-expm1 div-exp clear-num fma-udef div-inv expm1-udef
Counts
4 → 61
Calls
4 calls:
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
0.0ms
(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
2.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
0.0ms
(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

series454.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
136.0ms
(expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0)))
195.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma (fma 0.04481 x 0.99229) x 1.0))))
92.0ms
(log1p (fma (fma 0.04481 x 0.99229) x 1.0))

simplify742.0ms

Counts
73 → 73
Iterations

Useful iterations: 2 (162.0ms)

IterNodesCost
02171624
15321437
219721279
done50011279

prune244.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))))
0.0b
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
14.8b
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
9×times-frac prod-diff
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-neg associate-/r* associate-/l*
2×expm1-udef
1×cbrt-undiv sub-neg expm1-log1p flip3-- frac-2neg diff-log div-exp clear-num flip-- fma-udef div-inv distribute-lft-out-- associate--r- difference-of-squares
Counts
4 → 79
Calls
4 calls:
3.0ms
(- x (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))))
0.0ms
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
2.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series444.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(- x (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))))
201.0ms
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
28.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
60.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify528.0ms

Counts
91 → 91
Iterations

Useful iterations: done (522.0ms)

IterNodesCost
01652471
13451816
211491565
done50001556

prune258.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
0.6b
(* (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
14.8b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
14.8b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
306×add-sqr-sqrt
288×sqrt-prod
276×times-frac
150×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
18×add-exp-log add-cbrt-cube
13×pow1
6×associate-/r* associate-/l*
5×cbrt-undiv sqrt-undiv div-exp div-inv
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ pow-prod-down associate-*l/ clear-num rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 294
Calls
4 calls:
4.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
51.0ms
(* (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
1.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
1.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series343.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
66.0ms
(* (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
88.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
90.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.8s

Counts
306 → 306
Iterations

Useful iterations: done (1.8s)

IterNodesCost
028611888
185910703
234329028
done50009016

prune616.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
done1316

end0.0ms

sample351.0ms

Algorithm
intervals
Results
254.0ms8000×body80valid