Details

Time bar (total: 1.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms326×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b
(* 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)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (+ 1.0 (* y y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05069206

prune33.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh000
Picked011
Done000
Total22426

Merged error: 5.2b

Counts
26 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×pow1
9×add-sqr-sqrt sqrt-prod
8×add-exp-log flip3-+ associate-*r/ add-cbrt-cube flip-+
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×frac-times
3×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
1×associate-*l* *-commutative
Counts
3 → 59
Calls
3 calls:
9.0ms
(* (* 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)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05511740

prune96.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh112
Picked011
Done011
Total67572

Merged error: 5.1b

Counts
72 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.2b
(cbrt (+ 1.0 (* y y)))
5.2b
(cbrt (+ 1.0 (* y y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity sqrt-prod
10×cbrt-prod
9×associate-*r*
7×pow1
6×add-exp-log cbrt-div add-cbrt-cube
4×flip3-+ sqrt-div flip-+ add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
6.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))
2.0ms
(cbrt (+ 1.0 (* y y)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
3.0ms
(sqrt (+ 1.0 (* y y)))
11.0ms
(cbrt (+ 1.0 (* y y)))
11.0ms
(cbrt (+ 1.0 (* y y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
054191193

prune205.0ms

Filtered
70 candidates to 81 candidates (-15.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh022
Picked011
Done022
Total81586

Merged error: 5.1b

Counts
86 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))
8.4b
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
21×associate-*r*
19×add-sqr-sqrt
18×sqrt-div sqrt-prod
17×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
11×pow1
9×add-exp-log flip3-+ flip-+
8×cube-div cbrt-div associate-*r/
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×cube-mult rem-sqrt-square sqrt-pow1 pow1/2 unpow3 associate-*l/ sqr-pow
1×pow1/3 associate-*l* *-commutative rem-cbrt-cube
Counts
4 → 103
Calls
4 calls:
14.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
2.0ms
(sqrt (+ 1.0 (* y y)))
2.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

series21.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (cbrt (pow (sqrt (+ 1.0 (* y y))) 3)))
3.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(sqrt (+ 1.0 (* y y)))
4.0ms
(cbrt (pow (sqrt (+ 1.0 (* y y))) 3))

simplify71.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049511237
149511237

prune160.0ms

Filtered
75 candidates to 115 candidates (-53.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done033
Total1155120

Merged error: 5.1b

Counts
120 → 5

regimes202.0ms

Accuracy

0% (0.2b remaining)

Error of 4.9b against oracle of 4.7b and baseline of 4.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11115

end0.0ms

sample489.0ms

Algorithm
intervals
Results
228.0ms10575×body80valid

Profiling

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