Details

Time bar (total: 2.5s)

sample78.0ms

Algorithm
intervals
Results
20.0ms559×body80nan
19.0ms250×body160nan
12.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

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: 32.4b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (sqrt (- (* x x) 1.0)))
0.0b
(- (* x x) 1.0)
30.1b
(sqrt (- (* x x) 1.0))

rewrite23.0ms

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)))
6.0ms
(- (* x x) 1.0)
11.0ms
(sqrt (- (* x x) 1.0))

series159.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ x (sqrt (- (* x x) 1.0)))
43.0ms
(- (* x x) 1.0)
50.0ms
(sqrt (- (* x x) 1.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0228284
1702267
22784261
35001260

prune102.0ms

Filtered
50 candidates to 40 candidates (80.0%)
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))))

rewrite17.0ms

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:
3.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series343.0ms

Counts
2 → 6
Calls
2 calls:
146.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
196.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify38.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0360656
11271612
25002600

prune307.0ms

Filtered
59 candidates to 44 candidates (74.6%)
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

sample1.3s

Algorithm
intervals
Results
364.0ms16316×body80nan
353.0ms7798×body160nan
224.0ms8000×body80valid

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