Details

Time bar (total: 1.9s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
0501519

prune8.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
0.2b
(* 3.0 (* v v))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity associate-*r*
17×pow1
15×associate-*l*
14×times-frac
11×sqrt-prod
10×sqrt-div prod-exp cbrt-unprod
associate-*r/ pow-prod-down
flip3-- flip-- unswap-sqr
frac-times associate-*l/ add-log-exp
*-commutative difference-of-squares
cbrt-undiv div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
6.0ms
(* 3.0 (* v v))

series37.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
16.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
3.0ms
(* 3.0 (* v v))

simplify58.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049762096
149762096

prune243.0ms

Filtered
86 candidates to 118 candidates (-37.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1162118
Fresh000
Picked101
Done000
Total1172119

Merged error: 0b

Counts
119 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))
0.0b
(* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0))
0.0b
(* (sqrt 2.0) (* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0)))
2.4b
(log (pow (exp 3.0) (* v v)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
23×*-un-lft-identity
19×add-exp-log add-cube-cbrt
18×add-cbrt-cube
17×associate-*r*
15×sqrt-prod
14×times-frac associate-*l*
12×pow1
10×sqrt-div
log-prod associate-*r/ prod-exp cbrt-unprod
flip3-- flip-- difference-of-squares
frac-times pow-prod-down associate-*l/ add-log-exp unswap-sqr
unpow-prod-down rem-log-exp
cbrt-undiv div-exp *-commutative distribute-lft-out--
pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow-exp log-pow div-inv sqr-pow
Counts
4 → 109
Calls
4 calls:
4.0ms
(sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))
13.0ms
(* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0))
14.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0)))
3.0ms
(log (pow (exp 3.0) (* v v)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(sqrt (- 1.0 (log (pow (exp 3.0) (* v v)))))
48.0ms
(* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0))
58.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (log (pow (exp 3.0) (* v v))))) (/ (- 1.0 (* v v)) 4.0)))
32.0ms
(log (pow (exp 3.0) (* v v)))

simplify71.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049692085
149692085

prune262.0ms

Filtered
90 candidates to 121 candidates (-34.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done000
Total1212123

Merged error: 0b

Counts
123 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (- 1.0 (* v v)) (sqrt 2.0))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (- 1.0 (* v v)) (sqrt 2.0)))
0.2b
(* 3.0 (* v v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
17×pow1
16×add-exp-log add-cbrt-cube
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×associate-*l/ sqrt-prod
flip3-- sqrt-div associate-*r* flip--
pow-prod-down prod-exp cbrt-unprod
frac-times add-log-exp
*-commutative unswap-sqr
associate-*r/
rem-sqrt-square sqrt-pow1 pow1/2 difference-of-squares
Counts
4 → 88
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
7.0ms
(* (- 1.0 (* v v)) (sqrt 2.0))
13.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (- 1.0 (* v v)) (sqrt 2.0)))
6.0ms
(* 3.0 (* v v))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
10.0ms
(* (- 1.0 (* v v)) (sqrt 2.0))
12.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (- 1.0 (* v v)) (sqrt 2.0)))
3.0ms
(* 3.0 (* v v))

simplify35.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054101440

prune180.0ms

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

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh000
Picked011
Done011
Total1002102

Merged error: 0b

Counts
102 → 2

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09321
19321

end0.0ms

sample546.0ms

Algorithm
intervals
Results
437.0ms8000×body80valid
0.0msbody80nan

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