Details

Time bar (total: 1.3s)

analyze4.0ms

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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
29×add-sqr-sqrt
27×times-frac
23×add-cube-cbrt
20×sqrt-prod
8×log-prod
7×associate-/l*
6×add-exp-log
5×pow1 add-cbrt-cube difference-of-squares
4×sqrt-div distribute-lft-out
3×log-div associate-/r* div-inv add-log-exp
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square distribute-rgt-out frac-2neg sqrt-pow1 flip3-+ pow1/2 div-exp rem-log-exp frac-add clear-num log-pow flip-+
Counts
3 → 81
Calls
3 calls:
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
2.0ms
(sqrt (- 1.0 (* x x)))
19.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
4.0ms
(sqrt (- 1.0 (* x x)))
16.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
056171324

prune152.0ms

Filtered
70 candidates to 90 candidates (-28.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh000
Picked011
Done000
Total89291

Merged error: 0b

Counts
91 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (neg (* 2 (log (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
23×log-prod
21×cbrt-prod
16×add-sqr-sqrt add-cube-cbrt
12×associate-+l+ distribute-neg-in times-frac
11×associate-+r+
9×distribute-lft-out
6×distribute-rgt-in distribute-lft-in add-log-exp
5×pow1
4×add-exp-log add-cbrt-cube
3×associate-+r- log-div pow1/3
2×flip3-+ sum-log flip-+ div-inv
1×+-commutative neg-sub0 associate-+l- distribute-rgt-out neg-log frac-add log-pow
Counts
4 → 74
Calls
4 calls:
52.0ms
(+ (neg (* 2 (log (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series118.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (neg (* 2 (log (cbrt x)))) (log (+ (/ 1.0 (cbrt x)) (/ (sqrt (- 1.0 (* x x))) (cbrt x)))))
21.0ms
(cbrt x)
22.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify44.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049611225
149611225

prune162.0ms

Filtered
78 candidates to 86 candidates (-10.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done011
Total86288

Merged error: 0b

Counts
88 → 2

regimes96.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02422
12422

end0.0ms

analyze4.0ms

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

sample477.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
0.0ms2×body80nan

Profiling

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