Details

Time bar (total: 11.5s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5001
101555
9475
8221
7170
6142
5120
4106
368
239
122
014

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(* (+ 0.99229 (* x 0.04481)) x)
13.9b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
9×times-frac
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1 fma-def
5×flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* associate-*r* associate-*l* associate-/l*
2×+-commutative sum-log associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 87
Calls
4 calls:
6.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
5.0ms
(+ 2.30753 (* x 0.27061))
17.0ms
(* (+ 0.99229 (* x 0.04481)) x)
38.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series314.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))
62.0ms
(+ 2.30753 (* x 0.27061))
108.0ms
(* (+ 0.99229 (* x 0.04481)) x)
103.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify1.3s

Counts
99 → 99
Iterations
IterNodes
done5000
21948
1412
0159

prune620.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0))))
0.0b
(+ 2.30753 (* x 0.27061))
0.1b
(fma (* x x) 0.04481 (fma 0.99229 x 1.0))
13.9b
(/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
39×prod-diff
37×times-frac
8×add-log-exp
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 log1p-expm1-u div-inv
3×associate-/r* fma-def fma-neg associate-/l*
2×flip3-+ flip-+ difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg flip3-- diff-log div-exp fma-udef flip-- distribute-lft-out--
Counts
4 → 116
Calls
4 calls:
22.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0))))
5.0ms
(+ 2.30753 (* x 0.27061))
0.0ms
(fma (* x x) 0.04481 (fma 0.99229 x 1.0))
20.0ms
(/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0))))
40.0ms
(+ 2.30753 (* x 0.27061))
24.0ms
(fma (* x x) 0.04481 (fma 0.99229 x 1.0))
77.0ms
(/ (+ 2.30753 (* x 0.27061)) (fma (* x x) 0.04481 (fma 0.99229 x 1.0)))

simplify2.6s

Counts
128 → 128
Iterations
IterNodes
done5001
22545
1593
0230

prune637.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma x (+ 0.99229 (* 0.04481 x)) 1.0)
0.1b
(fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753))
0.3b
(pow (* x 0.27061) 3)
23.2b
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753)) (fma x (+ 0.99229 (* 0.04481 x)) 1.0)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
12×add-cbrt-cube add-exp-log
11×*-un-lft-identity
7×add-sqr-sqrt pow1 add-cube-cbrt
5×times-frac associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow
2×cbrt-undiv pow-pow div-exp pow-exp prod-exp sum-cubes cbrt-unprod fma-udef distribute-lft-out rem-cube-cbrt associate-/l/
1×cube-mult pow-to-exp clear-num associate-/r* unpow-prod-down frac-2neg flip3-+ unpow3 cube-prod pow-prod-down flip-+ div-inv sqr-pow
Counts
4 → 73
Calls
4 calls:
0.0ms
(fma x (+ 0.99229 (* 0.04481 x)) 1.0)
0.0ms
(fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753))
9.0ms
(pow (* x 0.27061) 3)
100.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753)) (fma x (+ 0.99229 (* 0.04481 x)) 1.0)))

series361.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(fma x (+ 0.99229 (* 0.04481 x)) 1.0)
61.0ms
(fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753))
61.0ms
(pow (* x 0.27061) 3)
189.0ms
(/ (+ (pow 2.30753 3) (pow (* x 0.27061) 3)) (* (fma (fma x 0.27061 (- 2.30753)) (* 0.27061 x) (* 2.30753 2.30753)) (fma x (+ 0.99229 (* 0.04481 x)) 1.0)))

simplify1.0s

Counts
85 → 85
Iterations
IterNodes
done5000
21695
1384
0152

prune547.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done15
115
013

end0.0ms

sample708.0ms

Algorithm
intervals
Results
573.0ms8000×body80valid