Details

Time bar (total: 12.8s)

sample38.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5006
142626
131890
121424
111128
10742
9380
8220
7169
6141
5119
4105
368
239
122
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0b
(fma x (fma 0.04481 x 0.99229) 1.0)
14.1b
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
48×*-un-lft-identity
46×add-cube-cbrt
39×prod-diff
37×times-frac
5×add-cbrt-cube add-exp-log add-log-exp
4×div-inv
3×expm1-log1p-u pow1 associate-/r* fma-neg insert-posit16 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 → 101
Calls
3 calls:
15.0ms
(- x (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
9.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

series197.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0)))
31.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
82.0ms
(/ (fma 0.27061 x 2.30753) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.6s

Counts
110 → 110
Iterations
IterNodes
done5000
21370
1500
0212

prune697.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x (fma 0.04481 x 0.99229) 1.0)
1.3b
(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
14.1b
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
14.6b
(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×expm1-log1p-u
4×pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp log1p-expm1 fma-udef div-inv expm1-udef
Counts
4 → 65
Calls
4 calls:
0.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
0.0ms
(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
5.0ms
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
0.0ms
(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series663.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(fma x (fma 0.04481 x 0.99229) 1.0)
176.0ms
(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
289.0ms
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
151.0ms
(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify1.9s

Counts
77 → 77
Iterations
IterNodes
done5002
21720
1543
0221

prune418.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.3b
(expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))))
8.5b
(cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))
14.1b
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))))
14.6b
(log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
6×add-cbrt-cube add-exp-log
5×expm1-log1p-u
4×pow1 insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-/l*
1×cbrt-prod cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg pow1/3 div-exp pow3 log1p-expm1 rem-cbrt-cube div-inv expm1-udef
Counts
4 → 67
Calls
4 calls:
0.0ms
(expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))))
29.0ms
(cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))
8.0ms
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))))
1.0ms
(log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))

series557.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))))
28.0ms
(cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0)))
237.0ms
(/ (fma 0.27061 x 2.30753) (expm1 (log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))))
124.0ms
(log1p (cbrt (* (* (fma x (fma 0.04481 x 0.99229) 1.0) (fma x (fma 0.04481 x 0.99229) 1.0)) (fma x (fma 0.04481 x 0.99229) 1.0))))

simplify1.9s

Counts
79 → 79
Iterations
IterNodes
done5001
21710
1548
0225

prune570.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify5.0ms

Iterations
IterNodes
done17
117
016

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s8000×body80valid