Details

Time bar (total: 1.6s)

sample34.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 74.984741%

Guaranteed chance to sample good point: 99.975601%

Results
8.0ms256×body80valid

simplify580.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
8×associate-*l*
7×*-un-lft-identity
6×associate-*r*
5×pow1 add-cube-cbrt
4×unswap-sqr
3×add-exp-log pow-prod-down add-cbrt-cube
2×sqrt-pow1 pow1/2 sqrt-div associate-*l/
1×flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
10.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify152.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0228232
1907226
24455224
35001224

prune60.0ms

Filtered
25 candidates to 37 candidates (-48.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New35237
Fresh000
Picked101
Done000
Total36238

Merged error: 0b

Counts
38 → 2

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022

Merged error: 0b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* 1.0 1.0))
0.2b
(* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
24.2b
(/ (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (+ x 1.0)))
32.6b
(sqrt (- (* x x) (* 1.0 1.0)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×sqrt-prod
22×add-sqr-sqrt
17×*-un-lft-identity
13×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1
8×sqrt-div
7×times-frac associate-*l* associate-/r*
6×associate-*r* add-log-exp
4×flip3-- associate-*l/ flip-- unswap-sqr
3×sqrt-pow1 pow1/2 pow-prod-down difference-of-squares
2×cbrt-undiv sqrt-unprod div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out
1×sub-neg rem-sqrt-square sqrt-undiv frac-2neg flip3-+ diff-log clear-num *-commutative flip-+ div-inv associate-/l*
Counts
4 → 96
Calls
4 calls:
3.0ms
(- (* x x) (* 1.0 1.0))
8.0ms
(* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
11.0ms
(/ (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (+ x 1.0)))
4.0ms
(sqrt (- (* x x) (* 1.0 1.0)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* 1.0 1.0))
5.0ms
(* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x))
9.0ms
(/ (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (sqrt (+ x 1.0)))
4.0ms
(sqrt (- (* x x) (* 1.0 1.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0498931
12186870
25001849

prune152.0ms

Filtered
78 candidates to 108 candidates (-38.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done011
Total1082110

Merged error: 0b

Counts
110 → 2

regimes28.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0124
1124

end0.0ms

sample366.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 74.984741%

Guaranteed chance to sample good point: 99.975601%

Results
226.0ms7989×body80valid
1.0ms11×body160valid
0.0ms1×body80nan

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