Details

Time bar (total: 11.4s)

sample49.0ms

Algorithm
intervals
Results
33.0ms256×body80valid

simplify38.0ms

Counts
1 → 1
Iterations
IterNodes
done83
483
373
251
128
014

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

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

rewrite18.0ms

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* 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 → 111
Calls
3 calls:
12.0ms
(- (/ (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)
4.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

series233.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(- (/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0)) x)
42.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
87.0ms
(/ (fma x 0.27061 2.30753) (fma (fma x 0.04481 0.99229) x 1.0))

simplify2.5s

Counts
120 → 120
Iterations
IterNodes
done5004
32823
2851
1367
0173

prune478.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

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 (fma x 0.04481 0.99229) x 1.0)
0.0ms
(expm1 (log1p (fma (fma x 0.04481 0.99229) x 1.0)))
8.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma (fma x 0.04481 0.99229) x 1.0))))
1.0ms
(log1p (fma (fma x 0.04481 0.99229) x 1.0))

series640.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(fma (fma x 0.04481 0.99229) x 1.0)
226.0ms
(expm1 (log1p (fma (fma x 0.04481 0.99229) x 1.0)))
225.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (fma (fma x 0.04481 0.99229) x 1.0))))
147.0ms
(log1p (fma (fma x 0.04481 0.99229) x 1.0))

simplify2.2s

Counts
77 → 77
Iterations
IterNodes
done5002
21709
1544
0221

prune508.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

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 (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0)))))
11.0ms
(cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0)))
4.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0))))))
1.0ms
(log1p (cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0))))

series625.0ms

Counts
4 → 12
Calls
4 calls:
164.0ms
(expm1 (log1p (cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0)))))
28.0ms
(cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0)))
265.0ms
(/ (fma x 0.27061 2.30753) (expm1 (log1p (cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0))))))
167.0ms
(log1p (cbrt (* (* (fma (fma x 0.04481 0.99229) x 1.0) (fma (fma x 0.04481 0.99229) x 1.0)) (fma (fma x 0.04481 0.99229) x 1.0))))

simplify2.2s

Counts
79 → 79
Iterations
IterNodes
done5001
21706
1549
0225

prune476.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done17
117
016

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid