Details

Time bar (total: 2.6s)

sample29.0ms

Algorithm
intervals
Results
14.0ms455×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) (* y y))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(+ (* x x) (* y y))

simplify40.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010177
146566
2124066
3500166

prune30.0ms

Filtered
14 candidates to 11 candidates (78.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.0b
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
5.3b
(sqrt (+ (* x x) (* y y)))
5.3b
(sqrt (+ (* x x) (* y y)))

rewrite24.0ms

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:
4.0ms
(+ (* x x) (* y y))
10.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series121.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x x) (* y y))
25.0ms
(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
37.0ms
(sqrt (+ (* x x) (* y y)))
34.0ms
(sqrt (+ (* x x) (* y y)))

simplify205.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0198720
1892654
24766634
35001634

prune184.0ms

Filtered
110 candidates to 65 candidates (59.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1082110
Fresh000
Picked101
Done011
Total1093112

Merged error: 0b

Counts
112 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

5.3b
(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
5.9b
(cbrt (+ (* x x) (* y y)))
5.9b
(cbrt (+ (* x x) (* y y)))
5.9b
(cbrt (+ (* x x) (* y y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
15.0ms
(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
3.0ms
(cbrt (+ (* x x) (* y y)))
3.0ms
(cbrt (+ (* x x) (* y y)))
4.0ms
(cbrt (+ (* x x) (* y y)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
92.0ms
(cbrt (+ (* x x) (* y y)))
90.0ms
(cbrt (+ (* x x) (* y y)))
89.0ms
(cbrt (+ (* x x) (* y y)))

simplify182.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
02871504
17011463
230651446
350011379

prune266.0ms

Filtered
101 candidates to 66 candidates (65.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh011
Picked011
Done011
Total1013104

Merged error: 0b

Counts
104 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))
0.7b
(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
5.3b
(sqrt (+ (* x x) (* y y)))
5.3b
(sqrt (+ (* x x) (* y y)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
70×add-sqr-sqrt
32×sqrt-div
27×unpow-prod-down cube-prod
24×associate-*r* unswap-sqr
23×add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×flip3-+ associate-*l* flip-+
8×cube-div
7×add-cbrt-cube
6×sqrt-pow1
5×pow-pow sqr-pow
4×frac-times pow1/2 add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 associate-*r/ associate-*l/ pow-exp
1×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 150
Calls
4 calls:
17.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))
6.0ms
(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
3.0ms
(sqrt (+ (* x x) (* y y)))
4.0ms
(sqrt (+ (* x x) (* y y)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (sqrt (sqrt (+ (* x x) (* y y)))) (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3))
79.0ms
(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
33.0ms
(sqrt (+ (* x x) (* y y)))
38.0ms
(sqrt (+ (* x x) (* y y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
03822023
118531406
250011254

prune283.0ms

Filtered
162 candidates to 84 candidates (51.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh000
Picked011
Done022
Total1623165

Merged error: 0b

Counts
165 → 3

regimes76.0ms

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
063
163

end0.0ms

sample487.0ms

Algorithm
intervals
Results
262.0ms14150×body80valid