Details

Time bar (total: 3.1s)

sample287.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms273×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

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))

rewrite30.0ms

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))))
11.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
14.0ms
(/ (- 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)))
50.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (29.0ms)

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
46×*-un-lft-identity
41×times-frac
26×add-cube-cbrt associate-*l*
21×difference-of-squares
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
9×pow1
7×flip3-- flip--
5×sqrt-div associate-*r* associate-/l*
4×frac-times associate-*r/ associate-/r* associate-/r/ add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×frac-2neg pow1/2 div-sub clear-num sqrt-prod *-commutative
Counts
4 → 124
Calls
4 calls:
0.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
10.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
11.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
34.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series156.0ms

Counts
4 → 12
Calls
4 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)))
35.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
48.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify79.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05431279
124981150
250011027

prune339.0ms

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
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
0.0b
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))
0.0b
(cbrt (pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3))
0.0b
(pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
52×*-un-lft-identity
41×times-frac
32×add-cube-cbrt
26×associate-*l*
21×difference-of-squares
14×cbrt-prod
12×add-exp-log add-cbrt-cube
10×pow1 cube-div sqrt-div distribute-lft-out--
9×flip3-- flip--
8×unpow-prod-down cube-prod
6×frac-times associate-*r/
5×cbrt-div associate-*r* associate-/l*
4×pow-pow associate-/r* sqrt-prod associate-/r/ add-log-exp
3×pow-unpow associate-*l/
2×cbrt-undiv distribute-rgt-in cube-mult sub-neg distribute-lft-in sqrt-pow1 unpow3 div-exp pow-prod-down prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr sqr-pow
1×pow-to-exp frac-2neg pow1/2 pow1/3 div-sub pow-exp clear-num *-commutative sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 163
Calls
4 calls:
14.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
34.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))
3.0ms
(cbrt (pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3))
12.0ms
(pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3)

series329.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
43.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))
71.0ms
(cbrt (pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3))
176.0ms
(pow (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))) 3)

simplify107.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
07651730
135791605
250011548

prune471.0ms

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

sample714.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
213.0ms8122×body80nan