Details

Time bar (total: 1.8s)

sample279.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms289×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1196
2216
3216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
44×add-sqr-sqrt
41×times-frac
26×sqrt-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
2 → 84
Calls
2 calls:
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
13.0ms
(/ (- 1.0 x) (+ 1.0 x))

series142.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
52.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0339678
11039645
25001626

prune185.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
0.0b
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity
21×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×pow1 add-exp-log add-cbrt-cube
5×flip3-- sqrt-div associate-*r* flip-- distribute-lft-out--
4×frac-times associate-*r/
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv pow1/2 div-exp sqrt-prod *-commutative div-inv
Counts
2 → 71
Calls
2 calls:
9.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
33.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series114.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
44.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0411715
11708579
25002515

prune185.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample702.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
208.0ms8336×body80nan