Details

Time bar (total: 2.3s)

sample37.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
10.0ms225×body80nan

simplify649.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02111
12111

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
0.0b
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
0.0b
(/ (- 1.0 x) (+ 1.0 x))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
45×add-sqr-sqrt
41×times-frac
26×sqrt-prod
24×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* associate-/r/
3×add-log-exp
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
3 → 91
Calls
3 calls:
1.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
7.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(atan (sqrt (/ (- 1.0 x) (+ 1.0 x))))
5.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
051241252

prune154.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh000
Picked011
Done000
Total992101

Merged error: 0b

Counts
101 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 x))
0.0b
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
0.0b
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
0.0b
(sqrt (- 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
85×sqrt-prod
78×*-un-lft-identity
60×add-sqr-sqrt
56×times-frac
40×add-cube-cbrt
10×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-/l*
7×associate-/r*
6×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
2×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv sqrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 128
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
10.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
6.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
3.0ms
(sqrt (- 1.0 x))

series14.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 x))
4.0ms
(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))
2.0ms
(atan (/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x))))
4.0ms
(sqrt (- 1.0 x))

simplify37.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
050031929

prune195.0ms

Filtered
81 candidates to 140 candidates (-72.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done011
Total1402142

Merged error: 0b

Counts
142 → 2

regimes128.0ms

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 (0.0ms)

IterNodesCost
01212
11212

end0.0ms

sample885.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid
271.0ms8060×body80nan

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