Details

Time bar (total: 0.0hr)

sample0.0hr

Algorithm
intervals
Results
0.0hr120×body2560nan
0.0hr568×body80nan
0.0hr88×body1280nan
0.0hr256×body80valid
0.0hr40×body640nan
0.0hr27×body320nan
0.0hr13×body160nan

simplify0.0hr

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0hr)

IterNodesCost
0105
1115
2115

prune0.0hr

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.1b

Counts
2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
26.2b
(sqrt (- (* x x) 1.0))

rewrite0.0hr

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
sqrt-prod add-log-exp
pow1 add-cube-cbrt
add-exp-log sqrt-div add-cbrt-cube
+-commutative rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 sum-log flip-- flip-+ distribute-lft-out difference-of-squares
Counts
2 → 28
Calls
2 calls:
0.0hr
(+ x (sqrt (- (* x x) 1.0)))
0.0hr
(sqrt (- (* x x) 1.0))

series0.0hr

Counts
2 → 6
Calls
2 calls:
0.0hr
(+ x (sqrt (- (* x x) 1.0)))
0.0hr
(sqrt (- (* x x) 1.0))

simplify0.0hr

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (0.0hr)

IterNodesCost
0217221
1657211
22555205
35001204

prune0.0hr

Filtered
34 candidates to 29 candidates (14.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New33134
Fresh000
Picked101
Done000
Total34135

Merged error: 0b

Counts
35 → 1

localize0.0hr

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))))

rewrite0.0hr

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:
0.0hr
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.0hr
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series0.0hr

Counts
2 → 6
Calls
2 calls:
0.0hr
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.0hr
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify0.0hr

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (0.0hr)

IterNodesCost
0329645
11230609
25001599

prune0.0hr

Filtered
59 candidates to 44 candidates (25.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done000
Total59160

Merged error: 0b

Counts
60 → 1

simplify0.0hr

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0hr)

IterNodesCost
0139
1139

end0.0hr

sample0.0hr

Algorithm
intervals
Results
0.0hr3008×body2560nan
0.0hr16086×body80nan
0.0hr2426×body1280nan
0.0hr8000×body80valid
0.0hr1211×body640nan
0.0hr613×body320nan
0.0hr316×body160nan

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