Details

Time bar (total: 1.8s)

sample40.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.085419%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
23.0ms256×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
26×associate-*l*
22×add-exp-log times-frac add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity
18×frac-times
17×sqrt-prod
16×sqrt-div
15×pow1
14×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
3×*-commutative add-log-exp
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×div-inv difference-of-squares
Counts
3 → 113
Calls
3 calls:
11.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
6.0ms
(* 3.0 (* v v))

series28.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify87.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07641460
134531374
250011372

prune234.0ms

Filtered
84 candidates to 122 candidates (-45.2%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh000
Picked101
Done000
Total1212123

Merged error: 0b

Counts
123 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (pow 1.0 3) (pow (* v v) 3))) (* (+ (* (pow v 2) (+ (pow v 2) 1.0)) (* 1.0 1.0)) 4.0))
0.0b
(* (pow v 2) (+ (pow v 2) 1.0))
0.1b
(pow (* v v) 3)
0.1b
(* 3.0 (* v v))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
35×add-cbrt-cube
17×pow1
16×add-sqr-sqrt prod-exp
14×cbrt-unprod
11×*-un-lft-identity associate-*l*
10×associate-*r/
9×add-cube-cbrt
8×associate-/l/
6×cbrt-undiv flip3-- pow-pow sqrt-div div-exp flip--
5×unpow-prod-down associate-*r* unswap-sqr
4×frac-times pow-prod-down associate-*l/ add-log-exp
3×pow-unpow pow-exp sqr-pow
2×pow-to-exp flip3-+ associate-/r/ *-commutative flip-+ unpow2 rem-cube-cbrt
1×pow2 distribute-rgt-in cube-mult frac-2neg distribute-lft-in times-frac pow-plus unpow3 cube-prod clear-num associate-/r* pow-sqr pow-prod-up div-inv distribute-lft-out associate-/l*
Counts
4 → 112
Calls
4 calls:
28.0ms
(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (pow 1.0 3) (pow (* v v) 3))) (* (+ (* (pow v 2) (+ (pow v 2) 1.0)) (* 1.0 1.0)) 4.0))
9.0ms
(* (pow v 2) (+ (pow v 2) 1.0))
4.0ms
(pow (* v v) 3)
6.0ms
(* 3.0 (* v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (pow 1.0 3) (pow (* v v) 3))) (* (+ (* (pow v 2) (+ (pow v 2) 1.0)) (* 1.0 1.0)) 4.0))
7.0ms
(* (pow v 2) (+ (pow v 2) 1.0))
4.0ms
(pow (* v v) 3)
3.0ms
(* 3.0 (* v v))

simplify133.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08511328
148861061
250011061

prune303.0ms

Filtered
77 candidates to 124 candidates (-61.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1240124
Fresh011
Picked011
Done000
Total1242126

Merged error: 0b

Counts
126 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log associate-*l* add-cbrt-cube
6×add-cube-cbrt flip3-- *-un-lft-identity sqrt-div flip--
5×associate-*r*
4×frac-times pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×unswap-sqr
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ *-commutative add-log-exp
1×difference-of-squares
Counts
2 → 54
Calls
2 calls:
8.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
5.0ms
(* 3.0 (* v v))

series14.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
3.0ms
(* 3.0 (* v v))

simplify42.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0398548
11567525
25001521

prune95.0ms

Filtered
40 candidates to 60 candidates (-50.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh000
Picked011
Done011
Total60262

Merged error: 0b

Counts
62 → 2

regimes52.0ms

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
03119
13119

end0.0ms

sample488.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 50.085419%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
394.0ms8000×body80valid

Profiling

Loading profile data...