Details

Time bar (total: 3.1s)

sample68.0ms

Algorithm
intervals
Results
36.0ms870×body80nan
12.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01613
11613

prune6.0ms

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 1 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×log-prod
6×times-frac
4×add-sqr-sqrt add-cube-cbrt distribute-lft-out
3×log-div
2×pow1 add-exp-log div-inv
1×distribute-rgt-out flip3-+ rem-log-exp frac-add log-pow add-cbrt-cube flip-+ add-log-exp
Counts
1 → 20
Calls
1 calls:
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series14.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify51.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04952450
14952450

prune50.0ms

Filtered
18 candidates to 23 candidates (-27.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21223
Fresh000
Picked011
Done000
Total21324

Merged error: 0b

Counts
24 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))
0.2b
(+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.3b
(/ 1.0 (sqrt x))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
92×times-frac
83×sqrt-prod
75×add-sqr-sqrt
60×add-cube-cbrt
24×distribute-lft-out
19×log-prod
13×associate-+r+
12×associate-/r*
10×associate-/l*
9×pow1
8×add-exp-log add-cbrt-cube
7×add-log-exp difference-of-squares
6×associate-+l+ distribute-neg-in div-inv
5×log-pow
4×distribute-rgt-neg-in
3×associate-+r- log-div flip3-+ sum-log flip-+
2×cbrt-undiv +-commutative distribute-rgt-out frac-2neg sqrt-div div-exp frac-add clear-num associate-/l/
1×neg-sub0 associate-+l- sqrt-undiv flip3-- neg-log flip--
Counts
4 → 172
Calls
4 calls:
43.0ms
(+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))
51.0ms
(+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
6.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
4.0ms
(/ 1.0 (sqrt x))

series48.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))
27.0ms
(+ (neg (log (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
5.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
8.0ms
(/ 1.0 (sqrt x))

simplify47.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054982857

prune248.0ms

Filtered
121 candidates to 184 candidates (-52.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1840184
Fresh011
Picked011
Done011
Total1843187

Merged error: 0b

Counts
187 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(+ (* (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 2) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
0.7b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.7b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
24×cbrt-prod
18×times-frac
13×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
11×associate-+r+ log-prod
9×cbrt-div
6×div-inv
4×flip3-+ flip-+ add-log-exp
3×pow1 add-exp-log associate-+r- log-div distribute-rgt-out frac-add add-cbrt-cube
2×pow1/3
1×+-commutative sum-log
Counts
3 → 63
Calls
3 calls:
26.0ms
(+ (* (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 2) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
17.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
17.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series67.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) 2) (log (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))))
18.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify62.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049561739
149561739

prune218.0ms

Filtered
62 candidates to 72 candidates (-16.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done022
Total72375

Merged error: 0b

Counts
75 → 3

regimes137.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
11520

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.0s23894×body80nan
386.0ms8000×body80valid

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