Details

Time bar (total: 1.9s)

analyze40.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
43.7%56.2%0.1%5
46.8%53.1%0.1%6
78%21.9%0.1%7
82.7%17.2%0.1%8
89%10.9%0.1%9
91.3%8.6%0.1%10
94.4%5.5%0.1%11
95.6%4.3%0.1%12
97.2%2.7%0.1%13
97.8%2.1%0.1%14

sample20.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ (+ x y) (+ y 1.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05052477

prune58.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New38543
Fresh000
Picked011
Done000
Total38644

Merged error: 0b

Counts
44 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ y 1.0))
0.1b
(* (+ x y) (/ 1 (+ y 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
37×*-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
8×distribute-lft-out
5×pow1
4×flip3-+ div-exp associate-*l* prod-exp associate-/r* associate-/r/ flip-+
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod 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 → 83
Calls
2 calls:
7.0ms
(/ 1 (+ y 1.0))
12.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(/ 1 (+ y 1.0))
6.0ms
(* (+ x y) (/ 1 (+ y 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05297773

prune87.0ms

Filtered
51 candidates to 89 candidates (-74.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh044
Picked011
Done011
Total89695

Merged error: 0b

Counts
95 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x y)) (/ (cbrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
24×add-sqr-sqrt
22×cbrt-div *-un-lft-identity
19×associate-*r*
13×add-exp-log
12×add-cube-cbrt
11×flip3-+ times-frac flip-+
8×associate-/r/
7×associate-*l*
6×pow1 frac-times add-cbrt-cube unswap-sqr
5×distribute-lft-out
4×associate-*l/ prod-exp cbrt-unprod add-log-exp
3×pow1/3 associate-*r/
2×cbrt-undiv div-exp
1×pow-prod-down *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
20.0ms
(* (cbrt (+ x y)) (/ (cbrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series117.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (+ x y)) (/ (cbrt (+ x y)) (* (cbrt (+ y 1.0)) (cbrt (+ y 1.0)))))
30.0ms
(cbrt (+ x y))
32.0ms
(cbrt (+ x y))
30.0ms
(cbrt (+ x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
056701462

prune183.0ms

Filtered
83 candidates to 106 candidates (-27.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done022
Total1066112

Merged error: 0b

Counts
112 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.0b
(sqrt (+ y 1.0))
0.0b
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
0.1b
(/ (+ x y) (sqrt (+ y 1.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
498×*-un-lft-identity
490×times-frac
296×sqrt-prod
224×add-sqr-sqrt
222×add-cube-cbrt
138×distribute-lft-out
38×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
13×flip3-+ flip-+
11×add-exp-log add-cbrt-cube
10×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 383
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
3.0ms
(sqrt (+ y 1.0))
19.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
8.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series23.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
3.0ms
(sqrt (+ y 1.0))
6.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
10.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify113.0ms

Algorithm
egg-herbie
Counts
395 → 395
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049537362
149537362

prune312.0ms

Filtered
146 candidates to 395 candidates (-170.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3950395
Fresh022
Picked011
Done033
Total3956401

Merged error: 0b

Counts
401 → 6

regimes141.0ms

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
087
187

end0.0ms

sample505.0ms

Algorithm
intervals
Results
142.0ms7998×body80valid
0.0ms2×body640valid

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