Details

Time bar (total: 13.7s)

sample37.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify68.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
014326
128326
251251
369251
475251
done75251

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) x)
0.1b
(fma (fma x 0.04481 0.99229) x 1.0)
16.8b
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
54×*-un-lft-identity
52×add-cube-cbrt
46×times-frac
39×prod-diff
13×fma-neg
5×add-cbrt-cube add-exp-log div-inv add-log-exp
3×expm1-log1p-u pow1 associate-/r* log1p-expm1-u associate-/l*
2×difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp fma-udef flip-- distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
34.0ms
(- (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) x)
0.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
8.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

series238.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) x)
46.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
121.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

simplify2.8s

Counts
117 → 117
Iterations

Useful iterations: done (2.8s)

IterNodesCost
017050931
136544009
281836957
3247836231
done503835751

prune528.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0))) x)
0.0b
(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
0.1b
(fma 0.04481 (* x x) 1.0)
16.8b
(/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
55×*-un-lft-identity
53×add-cube-cbrt
46×times-frac
39×prod-diff
13×fma-neg
6×add-cbrt-cube add-exp-log add-log-exp
5×div-inv
4×expm1-log1p-u pow1 log1p-expm1-u
3×associate-/r* associate-/l*
2×fma-udef difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp flip-- distribute-lft-out--
Counts
4 → 118
Calls
4 calls:
24.0ms
(- (/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0))) x)
0.0ms
(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
0.0ms
(fma 0.04481 (* x x) 1.0)
4.0ms
(/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(- (/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0))) x)
35.0ms
(fma 0.99229 x (fma 0.04481 (* x x) 1.0))
69.0ms
(fma 0.04481 (* x x) 1.0)
102.0ms
(/ (fma x 0.27061 2.30753) (fma 0.99229 x (fma 0.04481 (* x x) 1.0)))

simplify3.3s

Counts
130 → 130
Iterations

Useful iterations: done (3.3s)

IterNodesCost
017957341
138149831
291242754
3305242028
done500241548

prune563.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))) x)
0.0b
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))
0.1b
(fma (fma x 0.04481 0.99229) x 1.0)
16.8b
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity
19×add-cube-cbrt
9×times-frac prod-diff
6×add-cbrt-cube add-exp-log add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×associate-/r* fma-neg associate-/l*
2×expm1-udef
1×associate--l- cbrt-undiv expm1-log1p clear-num sub-neg frac-2neg flip3-- diff-log div-exp fma-udef div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 79
Calls
4 calls:
11.0ms
(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))) x)
0.0ms
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))
0.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
8.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

series664.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(- (expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)))) x)
286.0ms
(expm1 (log1p (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))))
30.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
84.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

simplify3.5s

Counts
91 → 91
Iterations

Useful iterations: done (3.5s)

IterNodesCost
016539352
133928820
277726712
3225926472
done500425992

prune566.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
0.2b
(* (/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))))
16.8b
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))
16.8b
(sqrt (fma (fma x 0.04481 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 sqrt-pow1 pow1/2 1-exp div-inv pow-flip associate-/l*
2×rem-sqrt-square
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 162
Calls
4 calls:
10.0ms
(/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
53.0ms
(* (/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))))
1.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))
1.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))

series465.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0)))
86.0ms
(* (/ 1 (sqrt (fma (fma x 0.04481 0.99229) x 1.0))) (/ (fma x 0.27061 2.30753) (sqrt (fma (fma x 0.04481 0.99229) x 1.0))))
132.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))
116.0ms
(sqrt (fma (fma x 0.04481 0.99229) x 1.0))

simplify293.0ms

Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
024073956