Details

Time bar (total: 4.2s)

sample301.0ms

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))

rewrite37.0ms

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:
10.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
14.0ms
(/ (- 1.0 x) (+ 1.0 x))

series147.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
44.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0370779
11128734
25001719

prune238.0ms

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)))

rewrite43.0ms

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×expm1-log1p-u flip3-+ associate-/r* flip-+ log1p-expm1-u 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 → 167
Calls
4 calls:
12.0ms
(/ (- 1.0 x) (+ 1.0 x))
14.0ms
(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)))

series483.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (- 1.0 x) (+ 1.0 x))
150.0ms
(sqrt (cbrt (/ (- 1.0 x) (+ 1.0 x))))
146.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))
152.0ms
(cbrt (/ (- 1.0 x) (+ 1.0 x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04741533
114171487
250011467

prune540.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

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))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
87×prod-diff
82×associate--l+
73×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
54×times-frac
41×distribute-rgt-in distribute-lft-in
10×flip3-- frac-sub flip--
8×associate--r+
7×add-log-exp
6×div-inv
4×frac-times sub-neg associate-*r/
3×diff-log sqrt-prod
2×pow1 add-exp-log expm1-log1p-u associate-*l/ add-cbrt-cube log1p-expm1-u
1×fma-neg associate--r-
Counts
2 → 129
Calls
2 calls:
44.0ms
(- (* (/ (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))))

series119.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0)))
19.0ms
(atan (- (* (/ (pow x 2) (sqrt 1.0)) (- 1.0 (/ 0.5 1.0))) (- (* 1.0 (/ x (sqrt 1.0))) (sqrt 1.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
09763076
150012532

prune610.0ms

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
01513
11513

end0.0ms

sample1.4s

Algorithm
intervals
Results
727.0ms8000×body80valid
468.0ms7751×body80nan