Details

Time bar (total: 2.3s)

sample269.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 98.961018%

Results
6.0ms256×body80valid
0.0ms1×body80invalid

simplify403.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
093
1163
2263
3333
4333

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
6.0ms
(- (* x x) y)

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(- (* x x) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07363
121656
253556
3179456
4500156

prune25.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* x x) y))
0.0b
(- (* x x) y)
0.0b
(- (* x x) y)
0.2b
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×flip3-- sqrt-pow1 pow1/2 swap-sqr flip--
8×add-log-exp
7×associate-*r* associate-*l* difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
4.0ms
(sqrt (- (* x x) y))
4.0ms
(- (* x x) y)
4.0ms
(- (* x x) y)
23.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (- (* x x) y))
4.0ms
(- (* x x) y)
4.0ms
(- (* x x) y)
4.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify204.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 3 (195.0ms)

IterNodesCost
0212584
1811528
24671514
35001501

prune97.0ms

Filtered
66 candidates to 114 candidates (-72.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh011
Picked011
Done011
Total1134117

Merged error: 0b

Counts
117 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
0.2b
(* (sqrt (- (* x x) y)) (* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y)))))
0.5b
(cbrt (- (* x x) y))
0.5b
(cbrt (- (* x x) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
14×sqrt-div
13×cbrt-prod sqrt-prod
12×add-cube-cbrt cbrt-div *-un-lft-identity
11×pow1 add-exp-log associate-*r* add-cbrt-cube
10×associate-*r/ associate-*l*
9×flip3-- flip--
4×frac-times pow-prod-down prod-exp cbrt-unprod add-log-exp difference-of-squares
3×unswap-sqr
2×pow1/3 associate-*l/ *-commutative
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
14.0ms
(* (sqrt (- (* x x) y)) (* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y)))))
4.0ms
(cbrt (- (* x x) y))
4.0ms
(cbrt (- (* x x) y))

series98.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y))))
34.0ms
(* (sqrt (- (* x x) y)) (* (fabs (cbrt (- (* x x) y))) (sqrt (cbrt (- (* x x) y)))))
17.0ms
(cbrt (- (* x x) y))
19.0ms
(cbrt (- (* x x) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04411228
115581134
250021105

prune125.0ms

Filtered
81 candidates to 99 candidates (-22.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0b

Counts
103 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (pow x 2) y)
0.1b
(pow (- (pow x 2) y) 3)
39.9b
(cbrt (pow (- (pow x 2) y) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
22×cbrt-prod
21×unpow-prod-down
20×difference-of-squares
19×*-un-lft-identity
16×cube-prod
9×add-cube-cbrt
7×sqr-pow
5×distribute-lft-out-- unpow2 add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 85
Calls
3 calls:
5.0ms
(- (pow x 2) y)
7.0ms
(pow (- (pow x 2) y) 3)
9.0ms
(cbrt (pow (- (pow x 2) y) 3))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (pow x 2) y)
9.0ms
(pow (- (pow x 2) y) 3)
4.0ms
(cbrt (pow (- (pow x 2) y) 3))

simplify38.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0285479
11123438
25002432

prune93.0ms

Filtered
45 candidates to 94 candidates (-108.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New94094
Fresh000
Picked011
Done033
Total94498

Merged error: 0b

Counts
98 → 4

regimes204.0ms

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 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample431.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 24.21875%

Guaranteed chance to sample good point: 98.961018%

Results
185.0ms8000×body80valid
2.0ms80×body80invalid

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