Details

Time bar (total: 7.7s)

sample2.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.996948%

Guaranteed chance to sample good point: 50.021361%

Results
21.0ms97×body2560nan
13.0ms80×body1280nan
10.0ms256×body80valid
6.0ms48×body640nan
2.0ms24×body320nan
1.0ms14×body160nan
0.0msbody80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
0.0b
(- (* x x) 1.0)
29.6b
(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
*-un-lft-identity
pow1 add-cube-cbrt sqrt-prod
add-exp-log add-cbrt-cube
flip3-- sqrt-div flip-- difference-of-squares
+-commutative sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log sum-log flip-+ distribute-lft-out
Counts
3 → 41
Calls
3 calls:
6.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(- (* x x) 1.0)
4.0ms
(sqrt (- (* x x) 1.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(- (* x x) 1.0)
4.0ms
(sqrt (- (* x x) 1.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (76.0ms)

IterNodesCost
0228284
1702267
22784261
35001260

prune80.0ms

Filtered
40 candidates to 50 candidates (-25.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New49150
Fresh000
Picked101
Done000
Total50151

Merged error: 0b

Counts
51 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
10×*-un-lft-identity
associate-*r*
associate-*l*
pow1 add-cube-cbrt
add-exp-log frac-times flip3-+ add-cbrt-cube flip-+ add-log-exp unswap-sqr
flip3-- pow-prod-down flip--
sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
+-commutative sqrt-unprod prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 53
Calls
2 calls:
2.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series19.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
11.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify39.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0329645
11230609
25001599

prune132.0ms

Filtered
44 candidates to 59 candidates (-34.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done000
Total59160

Merged error: 0b

Counts
60 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

sample4.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 49.996948%

Guaranteed chance to sample good point: 50.021361%

Results
599.0ms2947×body2560nan
405.0ms2497×body1280nan
326.0ms8000×body80valid
169.0ms1280×body640nan
61.0ms600×body320nan
21.0ms308×body160nan
10.0ms279×body80nan

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