Details

Time bar (total: 1.3s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
155

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ x y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ x (+ x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ x (+ x y))

simplify46.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05089287

prune38.0ms

Filtered
25 candidates to 36 candidates (-44.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0b

Counts
37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.2b
(* x (/ 1 (+ x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
9.0ms
(* x (/ 1 (+ x y)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ 1 (+ x y))
5.0ms
(* x (/ 1 (+ x y)))

simplify57.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
05185564

prune63.0ms

Filtered
46 candidates to 84 candidates (-82.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0b

Counts
88 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series133.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
33.0ms
(cbrt (+ x y))
31.0ms
(cbrt (+ x y))
31.0ms
(cbrt (+ x y))

simplify41.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04858933
14858933

prune100.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0b

Counts
111 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
5.7b
(sqrt (/ x (+ x y)))
5.7b
(sqrt (/ x (+ x y)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×rem-sqrt-square associate-/r* add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 201
Calls
4 calls:
5.0ms
(/ x (+ x y))
19.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
5.0ms
(sqrt (/ x (+ x y)))
5.0ms
(sqrt (/ x (+ x y)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ x (+ x y))
5.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
8.0ms
(sqrt (/ x (+ x y)))
9.0ms
(sqrt (/ x (+ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049582012
149582012

prune137.0ms

Filtered
130 candidates to 213 candidates (-63.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2130213
Fresh000
Picked011
Done033
Total2134217

Merged error: 0b

Counts
217 → 4

regimes110.0ms

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
055
155

end0.0ms

sample353.0ms

Algorithm
intervals
Results
149.0ms8000×body80valid

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