Details

Time bar (total: 2.1s)

analyze104.0ms

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
50%46.8%3.2%7
56.2%37.5%6.3%8
62.4%25.8%11.8%9
65.6%20.3%14.1%10
68.7%13.5%17.9%11
70.2%10.5%19.2%12
71.8%6.9%21.3%13
72.6%5.4%22%14

sample30.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
0493111
1493111

prune8.0ms

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: 0.2b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
0.3b
(/ (- 3.0 x) (* 3.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
15×*-un-lft-identity
10×times-frac
9×associate-*r*
7×add-cube-cbrt
5×associate-*l* prod-exp cbrt-unprod associate-/l*
4×pow1 cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
3×flip3-- flip--
2×frac-times associate-*l/ div-inv associate-/l/ add-log-exp
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 63
Calls
2 calls:
12.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
6.0ms
(/ (- 3.0 x) (* 3.0 y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- 1.0 x) (/ (- 3.0 x) (* 3.0 y)))
5.0ms
(/ (- 3.0 x) (* 3.0 y))

simplify23.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (14.0ms)

IterNodesCost
05197765

prune95.0ms

Filtered
49 candidates to 69 candidates (-40.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh011
Picked101
Done000
Total66571

Merged error: 0b

Counts
71 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1 (/ x 3.0)) y)
0.1b
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
91×add-sqr-sqrt
63×times-frac
58×*-un-lft-identity
29×difference-of-squares
28×add-cube-cbrt associate-*r*
9×add-exp-log add-cbrt-cube
8×associate-/l* distribute-lft-out--
5×associate-*l*
4×pow1
3×flip3-- associate-/r* flip--
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 103
Calls
2 calls:
9.0ms
(/ (- 1 (/ x 3.0)) y)
17.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (- 1 (/ x 3.0)) y)
7.0ms
(* (- 1.0 x) (/ (- 1 (/ x 3.0)) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
053061410

prune133.0ms

Filtered
78 candidates to 109 candidates (-39.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh044
Picked011
Done000
Total1095114

Merged error: 0b

Counts
114 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
0.1b
(* 0.3333333333333333 (/ x (/ y x)))
0.2b
(/ x (/ y x))
0.2b
(* (/ x y) 1.3333333333333333)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
154×times-frac
104×add-sqr-sqrt
90×add-cube-cbrt *-un-lft-identity
47×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-*l*
13×associate-/r*
10×div-inv
8×pow1
7×cbrt-undiv div-exp
6×add-log-exp
5×prod-exp cbrt-unprod unswap-sqr
3×associate-/l*
2×associate-*r/ pow-prod-down associate-*l/ associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip--
Counts
4 → 180
Calls
4 calls:
9.0ms
(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
14.0ms
(* 0.3333333333333333 (/ x (/ y x)))
6.0ms
(/ x (/ y x))
6.0ms
(* (/ x y) 1.3333333333333333)

series22.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (* 0.3333333333333333 (/ x (/ y x))) (* (/ x y) 1.3333333333333333))
4.0ms
(* 0.3333333333333333 (/ x (/ y x)))
4.0ms
(/ x (/ y x))
6.0ms
(* (/ x y) 1.3333333333333333)

simplify60.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050001742

prune190.0ms

Filtered
146 candidates to 192 candidates (-31.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh033
Picked011
Done011
Total1925197

Merged error: 0b

Counts
197 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) 3.0)
0.0b
(/ (- 3.0 x) y)
0.3b
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 138
Calls
3 calls:
5.0ms
(/ (- 1.0 x) 3.0)
5.0ms
(/ (- 3.0 x) y)
19.0ms
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (- 1.0 x) 3.0)
4.0ms
(/ (- 3.0 x) y)
7.0ms
(* (/ (- 1.0 x) 3.0) (/ (- 3.0 x) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049701581
149701581

prune170.0ms

Filtered
105 candidates to 147 candidates (-40.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1470147
Fresh022
Picked011
Done022
Total1475152

Merged error: 0b

Counts
152 → 5

regimes204.0ms

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
03011
13011

end0.0ms

sample672.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid

Profiling

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