Details

Time bar (total: 1.3s)

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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
028919
128919

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: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
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))))
0.1b
(* 3.0 (* v v))

rewrite35.0ms

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
7×associate-*r/ pow-prod-down
5×flip3-- flip-- unswap-sqr
4×frac-times associate-*l/ add-log-exp
3×*-commutative difference-of-squares
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 106
Calls
4 calls:
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
12.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms
(* 3.0 (* v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0))
15.0ms
(* (sqrt 2.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (/ (- 1.0 (* v v)) 4.0)))
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
3.0ms
(* 3.0 (* v v))

simplify52.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
051612061

prune203.0ms

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

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh000
Picked011
Done000
Total1172119

Merged error: 0b

Counts
119 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3))
0.0b
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
0.1b
(* 3.0 (* v v))
1.0b
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
24×add-exp-log add-cbrt-cube
17×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
14×times-frac
10×cube-div prod-exp cbrt-unprod
9×associate-*r/ associate-*l*
8×cbrt-prod sqrt-div
7×pow-prod-down
5×cbrt-div sqrt-prod unswap-sqr
4×frac-times flip3-- associate-*l/ pow-exp flip-- add-log-exp rem-cube-cbrt
3×pow-unpow pow-pow difference-of-squares
2×cbrt-undiv cube-mult unpow-prod-down unpow3 cube-prod div-exp *-commutative sqr-pow
1×pow-to-exp pow1/3 rem-cbrt-cube div-inv
Counts
4 → 113
Calls
4 calls:
4.0ms
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3))
10.0ms
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
5.0ms
(* 3.0 (* v v))
12.0ms
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3)

series63.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3))
12.0ms
(* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))
3.0ms
(* 3.0 (* v v))
34.0ms
(pow (* (sqrt (- 1.0 (* 3.0 (* v v)))) (* (sqrt 2.0) (/ (- 1.0 (* v v)) 4.0))) 3)

simplify53.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051772331

prune253.0ms

Filtered
87 candidates to 125 candidates (-43.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done011
Total1252127

Merged error: 0b

Counts
127 → 2

regimes50.0ms

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
01719
11719

end0.0ms

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

sample469.0ms

Algorithm
intervals
Results
382.0ms8000×body80valid
0.0ms4×body80nan

Profiling

Loading profile data...