Details

Time bar (total: 2.2s)

sample283.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms249×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×sqrt-div
4×associate-/r/ associate-/l/
3×sqrt-prod
2×flip3-- frac-2neg flip3-+ clear-num flip-- flip-+ div-inv
1×pow1/2 div-sub
Counts
3 → 17
Calls
3 calls:
4.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
6.0ms
(/ (- 1.0 x) (+ 1.0 x))
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

series152.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms
(/ (- 1.0 x) (+ 1.0 x))
9.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))

simplify75.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
0206178
1591176
22630162
35001161

prune72.0ms

Filtered
26 candidates to 22 candidates (84.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New24226
Fresh000
Picked101
Done000
Total25227

Merged error: 0b

Counts
27 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×sqrt-prod *-commutative difference-of-squares
4×sqrt-div associate-/l*
2×flip3-- flip-- associate-/l/
1×frac-2neg pow1/2 clear-num div-inv
Counts
3 → 16
Calls
3 calls:
4.0ms
(atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))
4.0ms
(sqrt (- (* 1.0 1.0) (* x x)))
6.0ms
(/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(atan (/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x))))
60.0ms
(sqrt (- (* 1.0 1.0) (* x x)))
81.0ms
(/ (sqrt (- (* 1.0 1.0) (* x x))) (fabs (+ 1.0 x)))

simplify122.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0224237
1787236
24270233
35001233

prune66.0ms

Filtered
25 candidates to 17 candidates (68.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New25025
Fresh011
Picked011
Done000
Total25227

Merged error: 0b

Counts
27 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
36×frac-times
30×flip3-- *-commutative flip--
29×sqrt-div
28×associate-/r* difference-of-squares
18×associate-*l/
14×associate-/l/
7×frac-2neg clear-num
6×associate-*l* associate-/r/
5×sqrt-prod
4×associate-*r/
3×div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow1/2 div-sub
Counts
4 → 84
Calls
4 calls:
6.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
11.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
1.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
10.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

series157.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (- 1.0 x) (- (* 1.0 1.0) (* x x)))
70.0ms
(sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x)))
4.0ms
(atan (sqrt (* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))))
45.0ms
(* (/ (- 1.0 x) (- (* 1.0 1.0) (* x x))) (- 1.0 x))

simplify66.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0426967
12218963
25001851

prune196.0ms

Filtered
96 candidates to 59 candidates (61.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298

Merged error: 0b

Counts
98 → 2

regimes14.0ms

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
0149
1149

end0.0ms

sample698.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid
200.0ms8139×body80nan