Details

Time bar (total: 2.7s)

sample62.0ms

Algorithm
intervals
Results
32.0ms768×body80nan
12.0ms256×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
0489211
1489211

prune9.0ms

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt times-frac
22×add-cube-cbrt
16×log-prod
9×add-exp-log
8×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/
1×cbrt-undiv +-commutative rem-sqrt-square log-div flip3-- frac-2neg sqrt-pow1 pow1/2 clear-num sum-log log-pow flip-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
7.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
6.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
5.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
4.0ms
(sqrt (- 1.0 (* x x)))
12.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify28.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
049951479
149951479

prune160.0ms

Filtered
77 candidates to 100 candidates (-29.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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)))
7.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))
7.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series27.0ms

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))
10.0ms
(sqrt (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049711564
149711564

prune249.0ms

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

regimes24.0ms

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

sample1.9s

Algorithm
intervals
Results
1.0s24281×body80nan
392.0ms8000×body80valid

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