Details

Time bar (total: 18.2s)

sample22.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify7.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01417
12217
23914
36614
49214
510214
612414
715214
820314
926414
1029914
1138114
1239414
1341314
1445114
1557814
1671414
1795114
18123314
19137914
20143614
21146614
22149114
23153214
24154214
done154214

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)
13.4b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

rewrite130.0ms

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:
6.0ms
(+ 0.99229 (* x 0.04481))
46.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
28.0ms
(* (+ 0.99229 (* x 0.04481)) x)
43.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ 0.99229 (* x 0.04481))
128.0ms
(- x (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x))))
121.0ms
(* (+ 0.99229 (* x 0.04481)) x)
89.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* (+ 0.99229 (* x 0.04481)) x)))

simplify2.2s

Counts
148 → 148
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02856840
17325761
222873845
done50023177

prune477.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
0.2b
(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
13.4b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
13.4b
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

rewrite74.0ms

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:
8.0ms
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
47.0ms
(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
2.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
2.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

series504.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0)))
76.0ms
(* (/ 1 (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma 0.04481 x 0.99229) x 1.0))))
160.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))
128.0ms
(sqrt (fma (fma 0.04481 x 0.99229) x 1.0))

simplify2.1s

Counts
174 → 174
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02404291
16243853
218543198
done50003170

prune633.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
1.9b
(/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3)))
11.4b
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
26.7b
(* (/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

rewrite860.0ms

Algorithm
rewrite-expression-head
Rules
69×associate-*l/
45×pow1
38×*-un-lft-identity
34×flip3-+ flip-+
31×times-frac
30×associate-*r/
29×add-sqr-sqrt
24×add-cube-cbrt
23×add-exp-log add-cbrt-cube
22×associate-*l*
18×pow-prod-down
16×frac-sub
14×frac-times
10×prod-exp cbrt-unprod
7×sum-cubes distribute-lft-out
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r* associate-/r/ pow-sqr pow-prod-up log1p-expm1-u sub-div
3×associate-/l*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv unswap-sqr
1×pow2 distribute-rgt-in sub-neg flip3-- distribute-rgt-out-- frac-2neg distribute-lft-in fma-neg diff-log swap-sqr prod-diff clear-num flip--
Counts
4 → 168
Calls
4 calls:
94.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
30.0ms
(/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3)))
96.0ms
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
622.0ms
(* (/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x))
122.0ms
(/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3)))
54.0ms
(- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))
209.0ms
(* (/ (fma x 0.27061 2.30753) (+ (pow 1.0 3) (pow (* (fma 0.04481 x 0.99229) x) 3))) (+ (* 1.0 1.0) (- (* (* (+ 0.99229 (* x 0.04481)) x) (* (+ 0.99229 (* x 0.04481)) x)) (* 1.0 (* (+ 0.99229 (* x 0.04481)) x)))))

simplify674.0ms

Counts
180 → 180
Iterations

Useful iterations: done (662.0ms)

IterNodesCost
03537339
112215736
done50005138

prune968.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01526
11826
done1826

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid