Details

Time bar (total: 1.9s)

sample49.0ms

Algorithm
intervals
Results
20.0ms389×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0409
1409

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
9.0ms
(+ (+ (* x y) (* z z)) (* z z))
4.0ms
(+ (* x y) (* z z))
10.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series33.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(+ (+ (* x y) (* z z)) (* z z))
9.0ms
(+ (* x y) (* z z))
12.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify49.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04862519
14862519

prune55.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh011
Picked011
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (* z 3)))
0.2b
(* z (* z 3))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
4.0ms
(+ (* x y) (* z (* z 3)))
5.0ms
(* z (* z 3))

series14.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* x y) (* z (* z 3)))
3.0ms
(* z (* z 3))

simplify33.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05454285

prune44.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New33235
Fresh112
Picked011
Done011
Total34539

Merged error: 0.0b

Counts
39 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z))))) (* z z))
0.3b
(* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z)))))
3.0b
(sqrt (+ (* x y) (* z (+ z z))))
3.0b
(sqrt (+ (* x y) (* z (+ z z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
12.0ms
(+ (* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z))))) (* z z))
12.0ms
(* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z)))))
4.0ms
(sqrt (+ (* x y) (* z (+ z z))))
4.0ms
(sqrt (+ (* x y) (* z (+ z z))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z))))) (* z z))
12.0ms
(* (sqrt (+ (* x y) (* z (+ z z)))) (sqrt (+ (* x y) (* z (+ z z)))))
20.0ms
(sqrt (+ (* x y) (* z (+ z z))))
22.0ms
(sqrt (+ (* x y) (* z (+ z z))))

simplify55.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049021413
149021413

prune97.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done022
Total1105115

Merged error: 0.0b

Counts
115 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 3 (pow z 3/2))
0.1b
(* (sqrt z) (* 3 (pow z 3/2)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
12×add-sqr-sqrt
10×prod-exp
9×associate-*l* add-cbrt-cube
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity
4×pow1 unpow-prod-down cbrt-unprod
3×sqrt-prod unswap-sqr
2×pow-to-exp pow-exp *-commutative add-log-exp sqr-pow
1×pow-prod-down
Counts
2 → 47
Calls
2 calls:
5.0ms
(* 3 (pow z 3/2))
7.0ms
(* (sqrt z) (* 3 (pow z 3/2)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* 3 (pow z 3/2))
6.0ms
(* (sqrt z) (* 3 (pow z 3/2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04907384
14907384

prune64.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh011
Picked101
Done033
Total53558

Merged error: 0.0b

Counts
58 → 5

regimes304.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11215

end0.0ms

sample797.0ms

Algorithm
intervals
Results
363.0ms12374×body80valid

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