Details

Time bar (total: 3.5s)

sample298.0ms

Algorithm
intervals
Results
23.0ms256×body80valid
17.0ms248×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(atan (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:
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
12.0ms
(/ (- 1.0 x) (+ 1.0 x))

series145.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0354753
11071709
25001690

prune212.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 x) (+ 1.0 x))
0.0b
(sqrt (cbrt (/ (- 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
122×*-un-lft-identity
84×add-sqr-sqrt
81×times-frac
80×cbrt-prod
46×add-cube-cbrt
29×sqrt-prod
21×distribute-lft-out
17×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×add-exp-log add-cbrt-cube
5×pow1 associate-/l*
4×flip3-+ associate-/r* flip-+ div-inv add-log-exp
3×rem-sqrt-square cbrt-div pow1/3
2×sqrt-pow1 associate-/l/
1×cbrt-undiv flip3-- frac-2neg pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
4 → 159
Calls
4 calls:
10.0ms
(/ (- 1.0 x) (+ 1.0 x))
11.0ms
(sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
5.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

series451.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (- 1.0 x) (+ 1.0 x))
139.0ms
(sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x))))
138.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
142.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04561494
113281452
250011433

prune497.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0)))
0.0b
(atan (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
10×flip3-- frac-sub flip--
7×add-log-exp
4×frac-times sub-neg associate-*r/ associate--l+
3×diff-log
2×pow1 add-exp-log distribute-rgt-in add-sqr-sqrt add-cube-cbrt *-un-lft-identity distribute-lft-in associate-*l/ add-cbrt-cube associate--r+
1×associate--r-
Counts
2 → 37
Calls
2 calls:
27.0ms
(- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0)))
0.0ms
(atan (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))))

series111.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0)))
18.0ms
(atan (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
04711020
12457949
25003949

prune138.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

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
01513
11513

end0.0ms

sample1.4s

Algorithm
intervals
Results
708.0ms8000×body80valid
459.0ms7751×body80nan