Details

Time bar (total: 2.1s)

sample30.0ms

Algorithm
intervals
Results
14.0ms464×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0239
1239

prune7.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ x 2.0))
0.0b
(+ (* x (+ x 2.0)) (* y y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(* x (+ x 2.0))
7.0ms
(+ (* x (+ x 2.0)) (* y y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* x (+ x 2.0))
6.0ms
(+ (* x (+ x 2.0)) (* y y))

simplify32.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05022350

prune50.0ms

Filtered
27 candidates to 42 candidates (-55.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New41142
Fresh011
Picked011
Done000
Total41344

Merged error: 0.0b

Counts
44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 2.0) (* x x))
0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
4.0ms
(+ (* x 2.0) (* x x))
7.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 2.0) (* x x))
7.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))

simplify35.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05059302

prune35.0ms

Filtered
22 candidates to 31 candidates (-40.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh011
Picked011
Done011
Total31334

Merged error: 0.0b

Counts
34 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* x (+ x 2.0)) (* y y)))
0.0b
(+ (* x (+ x 2.0)) (* y y))
0.0b
(+ (* x (+ x 2.0)) (* y y))
0.1b
(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
14×sqrt-div
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 flip3-+ pow1/2 flip-+
8×swap-sqr add-log-exp
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×frac-times associate-+l+ unswap-sqr
3×pow-prod-down pow-sqr
2×+-commutative distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ sum-log
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
9.0ms
(sqrt (+ (* x (+ x 2.0)) (* y y)))
7.0ms
(+ (* x (+ x 2.0)) (* y y))
7.0ms
(+ (* x (+ x 2.0)) (* y y))
17.0ms
(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (+ (* x (+ x 2.0)) (* y y)))
6.0ms
(+ (* x (+ x 2.0)) (* y y))
6.0ms
(+ (* x (+ x 2.0)) (* y y))
7.0ms
(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

simplify32.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
053791426

prune136.0ms

Filtered
62 candidates to 110 candidates (-77.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done022
Total1094113

Merged error: 0b

Counts
113 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
0.5b
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
0.5b
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
0.7b
(pow (cbrt (sqrt (+ (* x (+ x 2.0)) (* y y)))) 4)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
9×unpow-prod-down
6×cbrt-div sqrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 72
Calls
4 calls:
7.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
7.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
8.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
10.0ms
(pow (cbrt (sqrt (+ (* x (+ x 2.0)) (* y y)))) 4)

series164.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
40.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
43.0ms
(cbrt (sqrt (+ (* x (+ x 2.0)) (* y y))))
41.0ms
(pow (cbrt (sqrt (+ (* x (+ x 2.0)) (* y y)))) 4)

simplify33.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
049071431
149071431

prune249.0ms

Filtered
63 candidates to 84 candidates (-33.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New84084
Fresh000
Picked011
Done033
Total84488

Merged error: 0b

Counts
88 → 4

regimes203.0ms

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
0109
1109

end0.0ms

sample873.0ms

Algorithm
intervals
Results
457.0ms14506×body80valid

Profiling

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