Details

Time bar (total: 31.8s)

sample34.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify20.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
01619
13119
25916
38716
411216
512616
614216
718116
824516
927316
1034616
1154216
1279416
13110016
14140416
15163716
16197916
17269416
18341216
19443316
20499016
done500016

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
0.0b
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
13.4b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
67×add-sqr-sqrt
59×*-un-lft-identity
55×add-cube-cbrt
47×times-frac
39×prod-diff
13×fma-neg
add-exp-log add-cbrt-cube
pow1 associate-*l* add-log-exp
div-inv
expm1-log1p-u log1p-expm1-u difference-of-squares
associate-*r* associate-/r* associate-/l*
flip3-- associate-*l/ flip-- distribute-lft-out--
cbrt-undiv sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 133
Calls
4 calls:
24.0ms
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
87.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
6.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series359.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x)
120.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) 0.70711)
50.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
85.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.9s

Counts
145 → 145
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02133586
14493162
210822828
336262532
done50012467

prune553.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (fma 0.04481 x 0.99229) x 1.0)
0.1b
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711))
0.2b
(* (* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
13.4b
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
13×add-exp-log add-cbrt-cube
12×associate-*r*
11×pow1
10×times-frac
associate-*l* sqrt-prod
associate-*l/
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
associate-/r* associate-/l*
flip3-- *-commutative flip-- difference-of-squares unswap-sqr
cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv distribute-lft-out--
Counts
4 → 93
Calls
4 calls:
0.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
89.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711))
141.0ms
(* (* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
5.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

series474.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(fma (fma 0.04481 x 0.99229) x 1.0)
177.0ms
(* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711))
177.0ms
(* (* (- (/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0)) x) (sqrt 0.70711)) (sqrt 0.70711))
92.0ms
(/ (fma 0.27061 x 2.30753) (fma (fma 0.04481 x 0.99229) x 1.0))

simplify3.1s

Counts
105 → 105
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01852215
14132020
211751797
338781776
done50001770

prune452.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma x (fma x 1.3436228731669864 (- 2.134856267379707)) 1.6316775383)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma x (fma x 1.3436228731669864 (- 2.134856267379707)) 1.6316775383)

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma x (fma x 1.3436228731669864 (- 2.134856267379707)) 1.6316775383)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
023148
141145
291123
3275123
41553123
done5001123

prune60.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01316
11416
done1416

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8000×body80valid