Details

Time bar (total: 15.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01417
12217
23914
35814
48014
59014
611214
714014
818814
923614
1027914
1133914
1235214
1337314
1441214
1550814
1675314
1797914
18114914
19128814
20137314
21145014
22147314
23149514
24150514
done150514

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
54×*-un-lft-identity
52×add-cube-cbrt
45×prod-diff
37×times-frac
8×add-exp-log associate-/r/ add-cbrt-cube add-log-exp
7×flip3-+ flip-+
6×pow1
4×expm1-log1p-u log1p-expm1-u div-inv
3×fma-def fma-neg associate-*r* associate-*l* associate-/r* associate-/l*
2×associate-*l/ associate-/l/ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod distribute-lft-out-- unswap-sqr
Counts
4 → 136
Calls
4 calls:
5.0ms
(+ 0.99229 (* x 0.04481))
18.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
8.0ms
(* (+ 0.99229 (* x 0.04481)) x)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series242.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 0.99229 (* x 0.04481))
84.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
66.0ms
(* (+ 0.99229 (* x 0.04481)) x)
57.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify898.0ms

Counts
148 → 148
Iterations

Useful iterations: done (891.0ms)

IterNodesCost
02856840
17305761
223043845
done50003839

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

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))

series452.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(- x (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)))))
205.0ms
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))))
25.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
63.0ms
(/ (fma x 0.27061 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.9s

Counts
91 → 91
Iterations

Useful iterations: 3 (814.0ms)

IterNodesCost
01652471
13301816
29041565
333121424
done50001424

prune249.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma x 0.27061 2.30753))
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
2.8b
(/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0))
5.6b
(* (sqrt (fma x 0.27061 2.30753)) (/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
32×sqrt-prod
22×associate-*r*
11×add-exp-log add-cbrt-cube
7×pow1
6×associate-*l* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num *-commutative fma-udef
Counts
4 → 116
Calls
4 calls:
1.0ms
(sqrt (fma x 0.27061 2.30753))
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
3.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0))
15.0ms
(* (sqrt (fma x 0.27061 2.30753)) (/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (fma x 0.27061 2.30753))
26.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
136.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0))
65.0ms
(* (sqrt (fma x 0.27061 2.30753)) (/ (sqrt (fma x 0.27061 2.30753)) (fma (fma 0.04481 x 0.99229) x 1.0)))

simplify2.5s

Counts
128 → 128
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01862677
14292378
212812135
349502091
done50002091

prune318.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

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)))
5.6b
(* (sqrt (fma x 0.27061 2.30753)) (/ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (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))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
528×times-frac
424×sqrt-prod
349×add-sqr-sqrt
267×add-cube-cbrt *-un-lft-identity
244×associate-*r*
22×unswap-sqr
15×add-exp-log add-cbrt-cube
8×pow1 div-inv
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×sqrt-undiv prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×frac-2neg sqrt-unprod associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 384
Calls
4 calls:
4.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
100.0ms
(* (sqrt (fma x 0.27061 2.30753)) (/ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (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))

series342.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
67.0ms
(* (sqrt (fma x 0.27061 2.30753)) (/ (/ (sqrt (fma x 0.27061 2.30753)) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
89.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
88.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify1.3s

Counts
396 → 396
Iterations

Useful iterations: done (1.3s)

IterNodesCost
049212872
1128510704
233439729
done50009727

prune750.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
done1316

end0.0ms

sample339.0ms

Algorithm
intervals
Results
250.0ms8000×body80valid