Details

Time bar (total: 1.9s)

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

sample38.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify123.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod *-un-lft-identity
12×times-frac
11×add-sqr-sqrt
10×add-cube-cbrt
5×add-exp-log
4×add-log-exp
3×pow1 distribute-lft-out
2×rem-log-exp add-cbrt-cube
1×sub-neg log-div flip3-- diff-log div-exp log-pow flip-- div-inv difference-of-squares
Counts
2 → 39
Calls
2 calls:
3.0ms
(- 1.0 (* x x))
6.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series15.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* x x))
12.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify58.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04965648
14965648

prune76.0ms

Filtered
33 candidates to 45 candidates (-36.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New44145
Fresh000
Picked011
Done000
Total44246

Merged error: 0b

Counts
46 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
64×sqrt-prod
62×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
38×add-cube-cbrt log-prod
12×distribute-lft-out
10×pow1
6×add-exp-log log-pow
4×rem-sqrt-square sqrt-pow1 pow1/2 sqrt-div add-cbrt-cube div-inv add-log-exp
2×log-div rem-log-exp
Counts
4 → 118
Calls
4 calls:
7.0ms
(log (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)))
7.0ms
(log (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)))
7.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
7.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series61.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(log (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)))
22.0ms
(log (sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)))
9.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
10.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify52.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049482840
149482840

prune350.0ms

Filtered
98 candidates to 130 candidates (-32.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh000
Picked011
Done011
Total1302132

Merged error: 0b

Counts
132 → 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

sample992.0ms

Algorithm
intervals
Results
372.0ms8000×body80valid

Profiling

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