Details

Time bar (total: 2.9s)

sample274.0ms

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))

rewrite23.0ms

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))))
8.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series144.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
90.0ms
(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

prune216.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod
74×*-un-lft-identity
56×times-frac
55×add-sqr-sqrt
38×add-cube-cbrt
10×distribute-lft-out
8×associate-/l* distribute-lft-out-- difference-of-squares
7×associate-/r*
6×sqrt-div
5×add-exp-log add-cbrt-cube
4×pow1
3×add-log-exp
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv rem-sqrt-square sqrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 div-exp clear-num flip-- div-inv
Counts
3 → 111
Calls
3 calls:
3.0ms
(sqrt (+ 1.0 x))
3.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
12.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series120.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(sqrt (+ 1.0 x))
2.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
88.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03411157
110551092
250011033

prune222.0ms

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)))

rewrite36.0ms

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))
8.0ms
(/ (- 1.0 x) (+ 1.0 x))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
7.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series338.0ms

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)))
138.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify149.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 3 (134.0ms)

IterNodesCost
03391350
110011300
244341282
350011272

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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
0127
1127

end0.0ms

sample683.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid
192.0ms7905×body80nan