Details

Time bar (total: 1.4s)

analyze8.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample19.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify122.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
0489211
1489211

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×log-prod
14×add-sqr-sqrt
12×add-cube-cbrt times-frac
6×add-exp-log
5×pow1 add-log-exp
4×sqrt-prod distribute-lft-out
3×add-cbrt-cube
2×sqrt-div rem-log-exp
1×+-commutative rem-sqrt-square log-div flip3-- sqrt-pow1 flip3-+ pow1/2 div-exp sum-log log-pow flip-- flip-+ div-inv difference-of-squares
Counts
3 → 55
Calls
3 calls:
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
3.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
4.0ms
(sqrt (- 1.0 (* x x)))
12.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify39.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05095923

prune110.0ms

Filtered
50 candidates to 64 candidates (-28.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh000
Picked011
Done000
Total63265

Merged error: 0b

Counts
65 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(sqrt (- 1.0 (* x x)))
0.4b
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))
0.4b
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-prod
94×*-un-lft-identity
84×times-frac
70×add-sqr-sqrt
66×add-cube-cbrt
14×distribute-lft-out associate-/l*
12×associate-/r*
8×add-exp-log sqrt-div add-cbrt-cube
6×pow1
4×associate-/l/ add-log-exp
2×cbrt-undiv rem-sqrt-square sqrt-undiv flip3-- frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp clear-num flip-- flip-+ div-inv difference-of-squares
Counts
4 → 172
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
3.0ms
(sqrt (- 1.0 (* x x)))
9.0ms
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))
9.0ms
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(sqrt (- 1.0 (* x x)))
13.0ms
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))
13.0ms
(/ (sqrt (+ 1.0 (sqrt (- 1.0 (* x x))))) (sqrt x))

simplify69.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049983520
149983520

prune369.0ms

Filtered
108 candidates to 184 candidates (-70.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done011
Total1842186

Merged error: 0b

Counts
186 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03027
13027

end0.0ms

sample490.0ms

Algorithm
intervals
Results
403.0ms8000×body80valid
0.0ms4×body80nan

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