Details

Time bar (total: 8.9s)

sample47.0ms

Algorithm
intervals
Results
28.0ms116×body1280valid
8.0ms140×body80valid

simplify84.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0812
1158
2308
3438
4508
5568
6618
7638
done638

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1.0 x) (fabs x))
4.6b
(- 1 (* (/ 1.0 x) (fabs x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×add-cube-cbrt *-un-lft-identity
10×times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×fma-neg associate-*r* prod-diff
2×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv
Counts
2 → 54
Calls
2 calls:
16.0ms
(* (/ 1.0 x) (fabs x))
20.0ms
(- 1 (* (/ 1.0 x) (fabs x)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (/ 1.0 x) (fabs x))
88.0ms
(- 1 (* (/ 1.0 x) (fabs x)))

simplify4.1s

Counts
60 → 60
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0104634
1231590
2680535
32790529
done5000508

prune200.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1.0 x) (fabs x))
5.3b
(log1p (* (/ 1.0 x) (fabs x)))
28.1b
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×*-un-lft-identity
18×add-cube-cbrt
13×associate-*l*
10×times-frac
9×prod-diff
8×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×expm1-log1p-u
3×fma-neg associate-*r* log1p-expm1-u
2×prod-exp cbrt-unprod difference-of-squares unswap-sqr
1×cbrt-undiv sub-neg log1p-udef flip3-- diff-log log1p-expm1 div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv distribute-lft-out-- expm1-udef associate--r-
Counts
3 → 75
Calls
3 calls:
17.0ms
(* (/ 1.0 x) (fabs x))
1.0ms
(log1p (* (/ 1.0 x) (fabs x)))
15.0ms
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

series205.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(* (/ 1.0 x) (fabs x))
39.0ms
(log1p (* (/ 1.0 x) (fabs x)))
91.0ms
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

simplify1.8s

Counts
84 → 84
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01781540
14041068
21271919
done5001843

prune309.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
11210
done1210

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.3s3974×body1280valid
360.0ms4026×body80valid