Details

Time bar (total: 3.6s)

sample281.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms242×body80nan

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series146.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
91.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
51.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0354753
11071709
25001690

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ 1 (sqrt (+ 1.0 x))))
0.0b
(* (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))))
0.0b
(/ 1 (sqrt (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (sqrt (+ 1.0 x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
233×sqrt-prod
193×add-sqr-sqrt
170×*-un-lft-identity
165×times-frac
88×add-cube-cbrt
44×associate-*r*
30×associate-*l*
24×unswap-sqr
21×distribute-lft-out
15×sqrt-div distribute-lft-out-- difference-of-squares
14×associate-/r*
13×pow1
12×add-exp-log
10×associate-/r/ add-cbrt-cube
9×sqrt-pow1
8×associate-/l*
6×pow-flip
5×rem-sqrt-square flip3-+ pow1/2 flip-+ div-inv
4×add-log-exp
3×div-exp pow-prod-down
2×cbrt-undiv frac-2neg clear-num associate-/l/ inv-pow
1×frac-times rec-exp flip3-- sqrt-unprod 1-exp div-sub associate-*r/ associate-*l/ prod-exp *-commutative flip-- cbrt-unprod
Counts
4 → 276
Calls
4 calls:
7.0ms
(sqrt (/ 1 (sqrt (+ 1.0 x))))
38.0ms
(* (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))))
6.0ms
(/ 1 (sqrt (+ 1.0 x)))
9.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(sqrt (/ 1 (sqrt (+ 1.0 x))))
88.0ms
(* (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))))
51.0ms
(/ 1 (sqrt (+ 1.0 x)))
93.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))

simplify82.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07903026
128372779
250012697

prune585.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
126×*-un-lft-identity
82×add-sqr-sqrt
80×times-frac
52×cbrt-prod
46×add-cube-cbrt
22×distribute-lft-out
18×distribute-lft-out-- difference-of-squares
10×associate-/l*
8×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
4×pow1 flip3-+ flip-+ div-inv associate-/l/ add-log-exp
2×cbrt-undiv cbrt-div flip3-- frac-2neg pow1/3 div-sub div-exp clear-num flip--
Counts
4 → 162
Calls
4 calls:
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
7.0ms
(/ (- 1.0 x) (+ 1.0 x))
6.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series348.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ (- 1.0 x) (+ 1.0 x))
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
140.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
138.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify149.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
03391350
110011300
244341282
350011272

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample687.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
193.0ms7905×body80nan