Details

Time bar (total: 10.0s)

sample147.0ms

Algorithm
intervals
Results
50.0ms96×body2560valid
31.0ms245×body80nan
28.0ms79×body1280valid
12.0ms41×body640valid
4.0ms21×body320valid
2.0ms13×body160valid
0.0msbody80valid

simplify584.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
6944
5254
4155
384
243
120
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0))
0.0b
(- 1.0 (* (* v 5.0) v))
0.1b
(* (* v 5.0) v)
0.5b
(acos (/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
pow1
add-log-exp
expm1-log1p-u associate-/r* log1p-expm1-u difference-of-squares
flip3-- fma-neg associate-*r* prod-diff pow-prod-down prod-exp cbrt-unprod flip-- associate-/l*
associate-/r/ associate-/l/
acos-asin cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
22.0ms
(/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0))
5.0ms
(- 1.0 (* (* v 5.0) v))
29.0ms
(* (* v 5.0) v)
2.0ms
(acos (/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0))
91.0ms
(- 1.0 (* (* v 5.0) v))
48.0ms
(* (* v 5.0) v)
8.0ms
(acos (/ (- 1.0 (* (* v 5.0) v)) (- (* v v) 1.0)))

simplify2.2s

Counts
100 → 100
Iterations
IterNodes
done5001
22642
1421
0166

prune516.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 5.0) (pow v 2) 1.0)
0.0b
(log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0)))))
0.0b
(expm1 (log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))))
0.5b
(acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u
add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt log1p-expm1-u add-log-exp
acos-asin log1p-udef expm1-log1p log1p-expm1 fma-udef expm1-udef
Counts
4 → 42
Calls
4 calls:
0.0ms
(fma (- 5.0) (pow v 2) 1.0)
0.0ms
(log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0)))))
0.0ms
(expm1 (log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))))
1.0ms
(acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(fma (- 5.0) (pow v 2) 1.0)
174.0ms
(log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0)))))
330.0ms
(expm1 (log1p (acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))))
12.0ms
(acos (/ (fma (- 5.0) (pow v 2) 1.0) (fma v v (- 1.0))))

simplify5.1s

Counts
54 → 54
Iterations
IterNodes
done5000
43815
3484
2150
181
057

prune362.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize1.0ms