Details

Time bar (total: 1.9s)

analyze142.0ms

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
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms11×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
097
197

prune3.0ms

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) (- z y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×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-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
7.0ms
(/ (- x y) (- z y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (- x y) (- z y))

simplify60.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05007653

prune51.0ms

Filtered
37 candidates to 55 candidates (-48.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- div-exp prod-exp 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 → 91
Calls
2 calls:
5.0ms
(/ 1 (- z y))
12.0ms
(* (- x y) (/ 1 (- z y)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- z y))
12.0ms
(* (- x y) (/ 1 (- z y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05367809

prune272.0ms

Filtered
56 candidates to 97 candidates (-73.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh112
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (- z y))
0.1b
(* (- x y) (/ (+ x y) (- z y)))
11.0b
(/ (* (- x y) (/ (+ x y) (- z y))) (+ x y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
52×add-sqr-sqrt
45×times-frac
27×add-cube-cbrt
26×associate-*r*
19×add-exp-log add-cbrt-cube
13×distribute-lft-out
10×distribute-lft-out-- difference-of-squares
9×associate-/r*
7×associate-/l/
6×cbrt-undiv flip3-- div-exp associate-/r/ flip--
5×pow1 associate-*l* associate-/l*
4×frac-times associate-*l/ prod-exp cbrt-unprod
3×div-inv add-log-exp
2×frac-2neg flip3-+ associate-*r/ clear-num flip-+ unswap-sqr
1×pow-prod-down *-commutative
Counts
3 → 128
Calls
3 calls:
10.0ms
(/ (+ x y) (- z y))
15.0ms
(* (- x y) (/ (+ x y) (- z y)))
15.0ms
(/ (* (- x y) (/ (+ x y) (- z y))) (+ x y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (+ x y) (- z y))
15.0ms
(* (- x y) (/ (+ x y) (- z y)))
10.0ms
(/ (* (- x y) (/ (+ x y) (- z y))) (+ x y))

simplify51.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049571535
149571535

prune96.0ms

Filtered
88 candidates to 137 candidates (-55.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done022
Total1374141

Merged error: 0b

Counts
141 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.0b
(sqrt (- x y))
0.1b
(/ (sqrt (- x y)) (- z y))
0.2b
(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
110×*-un-lft-identity
84×times-frac
75×sqrt-prod
48×add-cube-cbrt
46×associate-*r*
31×distribute-lft-out-- difference-of-squares
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1 associate-*l* associate-/l*
7×flip3-- flip--
6×unswap-sqr
5×associate-/r*
4×associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 181
Calls
4 calls:
3.0ms
(sqrt (- x y))
3.0ms
(sqrt (- x y))
8.0ms
(/ (sqrt (- x y)) (- z y))
21.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (- x y))
9.0ms
(sqrt (- x y))
25.0ms
(/ (sqrt (- x y)) (- z y))
10.0ms
(* (sqrt (- x y)) (/ (sqrt (- x y)) (- z y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
062942287

prune123.0ms

Filtered
116 candidates to 193 candidates (-66.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1930193
Fresh000
Picked011
Done033
Total1934197

Merged error: 0b

Counts
197 → 4

regimes185.0ms

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
067
167

end0.0ms

analyze133.0ms

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
0%99.9%0.1%5
18.7%81.1%0.1%6
40.6%59.3%0.1%7
45.2%54.6%0.1%8
65.5%34.3%0.1%9
78%21.8%0.1%10
80%19.5%0.5%11
81.7%17.7%0.5%12
87.9%11.3%0.8%13
88.3%10.1%1.6%14

sample345.0ms

Algorithm
intervals
Results
186.0ms8000×body80valid
5.0ms242×body80invalid

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