Details

Time bar (total: 5.7s)

sample32.0ms

Algorithm
intervals
Results
20.0ms134×body1280valid
4.0ms122×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0812
1158
2298
3448
4518
5578
6628
7648
done648

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1.0 x) (fabs x))
3.9b
(- 1 (* (/ 1.0 x) (fabs x)))

rewrite12.0ms

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:
7.0ms
(* (/ 1.0 x) (fabs x))
3.0ms
(- 1 (* (/ 1.0 x) (fabs x)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* (/ 1.0 x) (fabs x))
55.0ms
(- 1 (* (/ 1.0 x) (fabs x)))

simplify3.2s

Counts
60 → 60
Iterations

Useful iterations: 3 (916.0ms)

IterNodesCost
0104634
1231596
2712535
33054529
done5000529

prune129.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (/ 1.0 x) (fabs x))
5.6b
(log1p (* (/ 1.0 x) (fabs x)))
32.2b
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

rewrite17.0ms

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:
7.0ms
(* (/ 1.0 x) (fabs x))
0.0ms
(log1p (* (/ 1.0 x) (fabs x)))
7.0ms
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

series131.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (/ 1.0 x) (fabs x))
30.0ms
(log1p (* (/ 1.0 x) (fabs x)))
52.0ms
(- 1 (expm1 (log1p (* (/ 1.0 x) (fabs x)))))

simplify979.0ms

Counts
84 → 84
Iterations

Useful iterations: done (976.0ms)

IterNodesCost
01781540
14081084
21423973
done5000964

prune214.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11210
done1210

end0.0ms

sample747.0ms

Algorithm
intervals
Results
527.0ms4025×body1280valid
118.0ms3975×body80valid