Details

Time bar (total: 3.8s)

sample272.0ms

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

prune4.0ms

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))

rewrite25.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 97
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
8.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
11.0ms
(/ (- 1.0 x) (+ 1.0 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
88.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
53.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify42.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0370779
11128734
25001719

prune251.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)))

rewrite83.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 284
Calls
4 calls:
7.0ms
(sqrt (/ 1 (sqrt (+ 1.0 x))))
43.0ms
(* (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))))
7.0ms
(/ 1 (sqrt (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (/ 1 (sqrt (+ 1.0 x))))
88.0ms
(* (sqrt (/ 1 (sqrt (+ 1.0 x)))) (sqrt (/ (- 1.0 x) (sqrt (+ 1.0 x)))))
53.0ms
(/ 1 (sqrt (+ 1.0 x)))
93.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))

simplify90.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08153069
129442821
250012735

prune643.0ms

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)))

rewrite41.0ms

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 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u 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 → 170
Calls
4 calls:
9.0ms
(/ (- 1.0 x) (+ 1.0 x))
9.0ms
(/ (- 1.0 x) (+ 1.0 x))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series333.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (- 1.0 x) (+ 1.0 x))
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
134.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
132.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify158.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
03531384
110641330
247671314
350011314

prune565.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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

sample713.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid
196.0ms7905×body80nan