Details

Time bar (total: 1.4s)

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

sample23.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify124.0ms

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: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt times-frac
22×add-cube-cbrt
16×log-prod
add-exp-log
distribute-lft-out
pow1 add-cbrt-cube add-log-exp
sqrt-prod associate-/l*
associate-/r*
flip3-+ sqrt-div div-exp rem-log-exp flip-+ div-inv associate-/l/
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:
7.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
7.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x)
4.0ms
(sqrt (- 1.0 (* x x)))
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
12.0ms
(log (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x))

simplify31.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
049951479
149951479

prune167.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
28×cbrt-prod
24×add-sqr-sqrt add-cube-cbrt
21×times-frac
cbrt-div
add-exp-log log-prod distribute-lft-out associate-/l*
pow1 add-cbrt-cube
flip3-+ flip-+ add-log-exp
pow1/3 associate-/r*
log-div log-pow associate-/l/
cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
4 → 92
Calls
4 calls:
6.0ms
(log (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))
8.0ms
(/ (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) x)
5.0ms
(cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))
5.0ms
(cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))

series73.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(log (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))))
24.0ms
(/ (cbrt (+ 1.0 (sqrt (- 1.0 (* x x))))) x)
13.0ms
(cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))
14.0ms
(cbrt (+ 1.0 (sqrt (- 1.0 (* x x)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049481999
149481999

prune321.0ms

Filtered
87 candidates to 104 candidates (-19.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh000
Picked011
Done011
Total1042106

Merged error: 0b

Counts
106 → 2

regimes26.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03425
13425

end0.0ms

sample502.0ms

Algorithm
intervals
Results
412.0ms8000×body80valid
0.0msbody80nan

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