Details

Time bar (total: 2.7s)

sample42.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
14.0ms296×body80nan
13.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

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 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
21.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
15.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05121016
11817965
25001961

prune198.0ms

Filtered
88 candidates to 110 candidates (-25.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.1b
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
54×times-frac
52×add-sqr-sqrt
48×sqrt-prod
42×add-cube-cbrt
14×associate-/l*
10×sqrt-div
8×add-exp-log add-cbrt-cube distribute-lft-out difference-of-squares
6×pow1 associate-/r* div-inv
4×associate-/l/ add-log-exp
2×cbrt-undiv rem-sqrt-square distribute-rgt-out flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp frac-add clear-num flip-- flip-+
Counts
4 → 132
Calls
4 calls:
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
18.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
20.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (sqrt (- 1.0 (* x x))) x)
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
10.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
11.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify58.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05021432
118031396
250011360

prune394.0ms

Filtered
110 candidates to 144 candidates (-30.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1440144
Fresh011
Picked011
Done000
Total1442146

Merged error: 0b

Counts
146 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
104×*-un-lft-identity
93×add-sqr-sqrt sqrt-prod
82×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×pow1 add-cbrt-cube
7×difference-of-squares
6×div-inv
4×log-div div-exp log-pow add-log-exp
3×cbrt-undiv associate-+r- pow-flip frac-2neg clear-num
2×flip3-+ sqrt-div flip-+ associate-/l/
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- sqrt-pow1 pow1/2 1-exp frac-add sum-log flip-- inv-pow
Counts
4 → 208
Calls
4 calls:
51.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
6.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))

series36.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
6.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
7.0ms
(/ 1 (sqrt x))
8.0ms
(/ 1.0 (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07962055
131691885
250011841

prune317.0ms

Filtered
135 candidates to 220 candidates (-63.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2200220
Fresh000
Picked011
Done011
Total2202222

Merged error: 0b

Counts
222 → 2

regimes63.0ms

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
01217
11217

end0.0ms

sample1.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 47.04159%

Guaranteed chance to sample good point: 0%

Results
423.0ms8000×body80valid
412.0ms8887×body80nan

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