Details

Time bar (total: 3.4s)

sample277.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms250×body80nan

simplify11.0ms

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

localize11.0ms

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))

rewrite29.0ms

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

series143.0ms

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)))
49.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify40.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0370779
11128734
25001719

prune235.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
26×add-cube-cbrt associate-*l*
21×times-frac
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×difference-of-squares
8×pow1 add-exp-log add-cbrt-cube
5×flip3-- sqrt-div associate-*r* flip-- distribute-lft-out--
4×frac-times associate-*r/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×sub-neg sqrt-pow1 pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv pow1/2 div-exp sqrt-prod *-commutative div-inv
Counts
3 → 102
Calls
3 calls:
0.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
17.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
33.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series117.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
70.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
43.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify76.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05651320
12547929
25001907

prune251.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
162×cbrt-prod
146×*-un-lft-identity
112×times-frac
110×add-sqr-sqrt
74×add-cube-cbrt
18×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/l*
14×associate-/r*
12×cbrt-div
8×add-exp-log
4×pow1 expm1-log1p-u flip3-- associate-/r/ add-cbrt-cube flip-- log1p-expm1-u associate-/l/ add-log-exp
2×cbrt-undiv frac-2neg flip3-+ pow1/3 div-exp clear-num flip-+ div-inv
Counts
4 → 212
Calls
4 calls:
12.0ms
(/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))
12.0ms
(/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))
2.0ms
(cbrt (- 1.0 x))
2.0ms
(cbrt (- 1.0 x))

series459.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))
139.0ms
(/ (cbrt (- 1.0 x)) (cbrt (+ 1.0 x)))
89.0ms
(cbrt (- 1.0 x))
91.0ms
(cbrt (- 1.0 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03842234
111502194
250012184

prune815.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

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
01410
11410

end0.0ms

sample744.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid
218.0ms7822×body80nan