Details

Time bar (total: 3.8s)

sample278.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
7.0ms250×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))

rewrite27.0ms

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:
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
13.0ms
(/ (- 1.0 x) (+ 1.0 x))

series145.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
92.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0354753
11071709
25001690

prune216.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

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)))

rewrite38.0ms

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:
10.0ms
(/ (- 1.0 x) (+ 1.0 x))
11.0ms
(/ (- 1.0 x) (+ 1.0 x))
5.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
5.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) (+ 1.0 x))
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
138.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
142.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify150.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
03391350
110011300
244341282
350011272

prune499.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.0b
(cbrt (- 1.0 x))
0.1b
(cbrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
54×*-un-lft-identity
38×add-sqr-sqrt
32×times-frac
24×add-cube-cbrt
8×distribute-lft-out
7×cbrt-div distribute-lft-out-- difference-of-squares
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×associate-/r/
1×flip3-+ flip-+ div-inv
Counts
4 → 92
Calls
4 calls:
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))
6.0ms
(cbrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))
92.0ms
(cbrt (- 1.0 x))
233.0ms
(cbrt (/ (cbrt (- 1.0 x)) (+ 1.0 x)))

simplify146.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04581020
11264982
24756951
35001951

prune498.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02622
12622

end0.0ms

sample704.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid
205.0ms7822×body80nan