Details

Time bar (total: 2.8s)

sample14.0ms

Algorithm
intervals
Results
7.0ms324×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1203
2223
3223

prune1.0ms

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: 4.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.0b
(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
5.0ms
(* x (+ 1.0 (* y y)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* x (+ 1.0 (* y y)))

simplify82.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0144115
1712101
23303100
35003100

prune38.0ms

Filtered
25 candidates to 17 candidates (68.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh000
Picked011
Done000
Total20626

Merged error: 4.2b

Counts
26 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0b
(sqrt (+ 1.0 (* y y)))
4.0b
(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(* x (sqrt (+ 1.0 (* y y))))
13.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))

series192.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* x (sqrt (+ 1.0 (* y y))))
49.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
43.0ms
(sqrt (+ 1.0 (* y y)))
41.0ms
(sqrt (+ 1.0 (* y y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0306681
11316604
25002594

prune150.0ms

Filtered
95 candidates to 67 candidates (70.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh044
Picked011
Done011
Total956101

Merged error: 4.2b

Counts
101 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.2b
(cbrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))
4.2b
(cbrt (+ 1.0 (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series664.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
162.0ms
(cbrt (+ 1.0 (* y y)))
162.0ms
(cbrt (+ 1.0 (* y y)))
162.0ms
(cbrt (+ 1.0 (* y y)))

simplify128.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0299693
1951634
23234616
35002616

prune190.0ms

Filtered
78 candidates to 65 candidates (83.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh033
Picked101
Done022
Total78684

Merged error: 4.2b

Counts
84 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 1.0 (* y y))))
4.0b
(* x (+ 1.0 (* y y)))
4.0b
(* x (+ 1.0 (* y y)))
4.0b
(* x (+ 1.0 (* y y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (* x (+ 1.0 (* y y))))
8.0ms
(* x (+ 1.0 (* y y)))
9.0ms
(* x (+ 1.0 (* y y)))
9.0ms
(* x (+ 1.0 (* y y)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (* x (+ 1.0 (* y y))))
53.0ms
(* x (+ 1.0 (* y y)))
55.0ms
(* x (+ 1.0 (* y y)))
58.0ms
(* x (+ 1.0 (* y y)))

simplify107.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0261482
11033426
24303419
35001419

prune184.0ms

Filtered
89 candidates to 64 candidates (71.9%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh033
Picked011
Done022
Total89695

Merged error: 4.2b

Counts
95 → 6

regimes93.0ms

Accuracy

0% (0.2b remaining)

Error of 5.6b against oracle of 5.4b and baseline of 5.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample400.0ms

Algorithm
intervals
Results
235.0ms10728×body80valid