Details

Time bar (total: 2.0s)

sample182.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.703613%

Guaranteed chance to sample good point: 97.670143%

Results
8.0ms256×body80valid
0.0msbody80invalid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1425
2875
31755
43105
55005
67205
79485
811485
911485

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (- y 1.0))
0.0b
(- (* x (- y 1.0)) (* y 0.5))
0.0b
(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
add-sqr-sqrt *-un-lft-identity
sub-neg associate--l+
distribute-rgt-in associate-+l+ distribute-lft-in
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l*
flip3-- diff-log associate-*r/ sum-log flip--
+-commutative associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 62
Calls
3 calls:
6.0ms
(* x (- y 1.0))
6.0ms
(- (* x (- y 1.0)) (* y 0.5))
10.0ms
(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* x (- y 1.0))
5.0ms
(- (* x (- y 1.0)) (* y 0.5))
6.0ms
(+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)

simplify94.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0262366
1880336
23787332
35002332

prune74.0ms

Filtered
45 candidates to 71 candidates (-57.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New69271
Fresh000
Picked011
Done000
Total69372

Merged error: 0b

Counts
72 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
0.4b
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
0.4b
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
0.4b
(* (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)) (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
7.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
8.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
7.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
20.0ms
(* (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)) (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
16.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
19.0ms
(cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673))
25.0ms
(* (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)) (cbrt (+ (- (* x (- y 1.0)) (* y 0.5)) 0.918938533204673)))

simplify102.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
03421715
19761622
238931502
350011494

prune277.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0b

Counts
110 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5)) 0.918938533204673)
0.0b
(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
0.0b
(* x (sqrt (- y 1.0)))
0.1b
(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×associate-*r*
15×*-un-lft-identity
14×sqrt-div
11×pow1 add-exp-log sqrt-prod add-cbrt-cube add-log-exp
10×associate-*r/
add-cube-cbrt
flip3-- flip--
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
sub-neg associate-+l+ diff-log associate-*l/ sum-log *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 85
Calls
4 calls:
14.0ms
(+ (- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5)) 0.918938533204673)
13.0ms
(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
7.0ms
(* x (sqrt (- y 1.0)))
12.0ms
(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

series34.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ (- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5)) 0.918938533204673)
8.0ms
(- (* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0))) (* y 0.5))
9.0ms
(* x (sqrt (- y 1.0)))
9.0ms
(* (* x (sqrt (- y 1.0))) (sqrt (- y 1.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0566830
12386716
25002698

prune137.0ms

Filtered
66 candidates to 97 candidates (-47.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh000
Picked011
Done022
Total973100

Merged error: 0b

Counts
100 → 3

regimes150.0ms

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
0135
1135

end0.0ms

sample613.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 8.703613%

Guaranteed chance to sample good point: 97.670143%

Results
240.0ms7999×body80valid
9.0ms306×body80invalid
0.0msbody1280valid

Profiling

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