Details

Time bar (total: 1.3s)

analyze5.0ms

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
12.0ms256×body80valid

simplify124.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (122.0ms)

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: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
25×add-sqr-sqrt
24×times-frac
22×add-cube-cbrt
16×log-prod
9×add-exp-log
7×distribute-lft-out
6×pow1 add-cbrt-cube add-log-exp
4×sqrt-prod associate-/l*
3×associate-/r*
2×flip3-- sqrt-div div-exp rem-log-exp flip-- div-inv associate-/l/ difference-of-squares
1×cbrt-undiv sub-neg rem-sqrt-square log-div frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log clear-num log-pow flip-+
Counts
4 → 88
Calls
4 calls:
7.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
3.0ms
(- 1.0 (* x x))
3.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series29.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
4.0ms
(- 1.0 (* x x))
4.0ms
(sqrt (- 1.0 (* x x)))
15.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049581404
149581404

prune163.0ms

Filtered
76 candidates to 100 candidates (-31.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(sqrt (- 1.0 (* x x)))
0.1b
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
0.1b
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
40×sqrt-prod
34×*-un-lft-identity
32×add-sqr-sqrt
26×times-frac
22×add-cube-cbrt
8×pow1
6×rem-sqrt-square sqrt-div distribute-lft-out
4×add-exp-log sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
2×flip3-- flip-- div-inv difference-of-squares
Counts
4 → 88
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
3.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
7.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series29.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(sqrt (- 1.0 (* x x)))
9.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
12.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049711564
149711564

prune256.0ms

Filtered
80 candidates to 100 candidates (-25.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done011
Total1002102

Merged error: 0b

Counts
102 → 2

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02925
12925

end0.0ms

sample487.0ms

Algorithm
intervals
Results
392.0ms8000×body80valid
0.0ms1×body80nan

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