Details

Time bar (total: 2.0s)

sample295.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
9.0ms289×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite28.0ms

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×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u 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 → 88
Calls
2 calls:
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
14.0ms
(/ (- 1.0 x) (+ 1.0 x))

series151.0ms

Counts
2 → 6
Calls
2 calls:
97.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
53.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0353692
11094658
25001643

prune206.0ms

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))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
35×*-un-lft-identity
26×associate-*l*
25×add-cube-cbrt
21×times-frac
18×prod-diff
11×distribute-rgt-in distribute-lft-in
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×expm1-log1p-u sub-neg sqrt-pow1 pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
1×cbrt-undiv pow1/2 div-exp sqrt-prod *-commutative div-inv
Counts
2 → 93
Calls
2 calls:
15.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
35.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series126.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
51.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify77.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05461179
12516807
25001785

prune224.0ms

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

sample719.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid
212.0ms8336×body80nan