Details

Time bar (total: 3.4s)

analyze264.0ms

Algorithm
search

sample59.0ms

Algorithm
intervals
Results
18.0ms99×body2560nan
12.0ms82×body1280nan
10.0ms256×body80valid
7.0ms40×body640nan
2.0ms20×body320nan
0.0ms14×body80nan
0.0msbody160nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (sqrt (- (* x x) 1.0))))
0.0b
(- (* x x) 1.0)
29.0b
(sqrt (- (* x x) 1.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
pow1 add-cube-cbrt add-log-exp
add-exp-log log-prod sqrt-prod
add-cbrt-cube
log-div flip3-- sqrt-div flip-- difference-of-squares
sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log rem-log-exp log-pow flip-+ distribute-lft-out
Counts
3 → 44
Calls
3 calls:
6.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms
(- (* x x) 1.0)
4.0ms
(sqrt (- (* x x) 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
4.0ms
(- (* x x) 1.0)
4.0ms
(sqrt (- (* x x) 1.0))

simplify122.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0282361
1935335
24361327
35001326

prune87.0ms

Filtered
41 candidates to 53 candidates (-29.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done000
Total52254

Merged error: 0b

Counts
54 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (+ 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
19×add-sqr-sqrt
15×sqrt-prod
12×sqrt-div
11×*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt associate-*l*
add-exp-log
frac-times flip3-+ add-cbrt-cube flip-+ unswap-sqr
log-prod flip3-- pow-prod-down flip--
log-div sqrt-pow1 pow1/2 associate-*r/ associate-*l/ add-log-exp difference-of-squares
sqrt-unprod rem-log-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
2 → 56
Calls
2 calls:
2.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series23.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
11.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0389761
11487717
25001709

prune148.0ms

Filtered
45 candidates to 62 candidates (-37.8%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done000
Total62264

Merged error: 0b

Counts
64 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (sqrt (- (* x x) 1.0))))
0.5b
(cbrt (+ x (sqrt (- (* x x) 1.0))))
29.0b
(sqrt (- (* x x) 1.0))
29.0b
(sqrt (- (* x x) 1.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
cbrt-prod add-cube-cbrt sqrt-prod
pow1
add-exp-log cbrt-div sqrt-div add-cbrt-cube add-log-exp
rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 pow1/3 flip-- flip-+ distribute-lft-out difference-of-squares
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (+ x (sqrt (- (* x x) 1.0))))
6.0ms
(cbrt (+ x (sqrt (- (* x x) 1.0))))
4.0ms
(sqrt (- (* x x) 1.0))
4.0ms
(sqrt (- (* x x) 1.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (+ x (sqrt (- (* x x) 1.0))))
13.0ms
(cbrt (+ x (sqrt (- (* x x) 1.0))))
4.0ms
(sqrt (- (* x x) 1.0))
6.0ms
(sqrt (- (* x x) 1.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (105.0ms)

IterNodesCost
0315676
1978654
24243618
35002616

prune198.0ms

Filtered
62 candidates to 72 candidates (-16.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done011
Total72274

Merged error: 0b

Counts
74 → 2

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0139
1139

end0.0ms

analyze261.0ms

Algorithm
search

sample1.9s

Algorithm
intervals
Results
731.0ms3080×body2560nan
392.0ms2473×body1280nan
317.0ms8000×body80valid
160.0ms1236×body640nan
62.0ms628×body320nan
19.0ms286×body160nan
11.0ms326×body80nan

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