Details

Time bar (total: 1.8s)

analyze64.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
67.1%32.8%0.1%7
71%28.9%0.1%8
82.3%17.6%0.1%9
84.9%15%0.1%10
90.8%9.1%0.1%11
92.2%7.7%0.1%12
95.3%4.6%0.1%13
96%3.9%0.1%14

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify169.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (168.0ms)

IterNodesCost
054817

prune9.0ms

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
5.0ms
(/ y (+ y 1.0))
9.0ms
(* x (/ y (+ y 1.0)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ y (+ y 1.0))
10.0ms
(* x (/ y (+ y 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04995665
14995665

prune96.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh011
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))
0.4b
(cbrt (/ y (+ y 1.0)))
0.4b
(cbrt (/ y (+ y 1.0)))
0.4b
(cbrt (/ y (+ y 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
pow1/3 unswap-sqr
cbrt-div flip3-+ flip-+ div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
20.0ms
(* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))
5.0ms
(cbrt (/ y (+ y 1.0)))
5.0ms
(cbrt (/ y (+ y 1.0)))
5.0ms
(cbrt (/ y (+ y 1.0)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (cbrt (/ y (+ y 1.0))) (cbrt (/ y (+ y 1.0))))
8.0ms
(cbrt (/ y (+ y 1.0)))
8.0ms
(cbrt (/ y (+ y 1.0)))
8.0ms
(cbrt (/ y (+ y 1.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049342776
149342776

prune429.0ms

Filtered
138 candidates to 192 candidates (-39.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1920192
Fresh022
Picked011
Done000
Total1923195

Merged error: 0b

Counts
195 → 3

localize5.0ms

Local error

Found 1 expressions with local error:

7.4b
(/ (* x y) (+ y 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
6.0ms
(/ (* x y) (+ y 1.0))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (* x y) (+ y 1.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05094250

prune38.0ms

Filtered
20 candidates to 28 candidates (-40.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh101
Picked011
Done101
Total29231

Merged error: 0b

Counts
31 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
add-exp-log add-cbrt-cube
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
5.0ms
(/ (+ y 1.0) y)
7.0ms
(/ x (/ (+ y 1.0) y))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ y 1.0) y)
7.0ms
(/ x (/ (+ y 1.0) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049471441
149471441

prune138.0ms

Filtered
88 candidates to 121 candidates (-37.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh000
Picked011
Done011
Total1212123

Merged error: 0b

Counts
123 → 2

regimes94.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0257
1257

end0.0ms

sample332.0ms

Algorithm
intervals
Results
202.0ms8000×body80valid

Profiling

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