Details

Time bar (total: 2.1s)

analyze231.0ms

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
12.5%87.4%0.1%4
12.5%87.4%0.1%5
15.6%84.3%0.1%6
32.8%67.1%0.1%7
38.2%61.6%0.1%8
46%53.8%0.1%9
62.6%37.3%0.1%10
67.2%32.7%0.1%11
71.1%28.8%0.1%12
81.6%18.2%0.1%13
84.1%15.7%0.1%14

sample16.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify158.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (156.0ms)

IterNodesCost
042299
142299

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.2b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.2b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04914775
14914775

prune84.0ms

Filtered
35 candidates to 53 candidates (-51.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New46753
Fresh000
Picked011
Done000
Total46854

Merged error: 5.7b

Counts
54 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
7.0b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×add-cube-cbrt associate-*r*
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 97
Calls
2 calls:
8.0ms
(/ 1 (- 1.0 (/ y z)))
16.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series16.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (- 1.0 (/ y z)))
10.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
059651114

prune118.0ms

Filtered
61 candidates to 103 candidates (-68.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh066
Picked011
Done011
Total1038111

Merged error: 5.7b

Counts
111 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
16.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series26.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
10.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
055573410

prune194.0ms

Filtered
110 candidates to 201 candidates (-82.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1992201
Fresh235
Picked101
Done022
Total2027209

Merged error: 0.0b

Counts
209 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (+ y x))
0.0b
(/ 1.0 (+ y x))
0.2b
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
9.0b
(/ y (* z (+ y x)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
48×*-un-lft-identity
43×times-frac
30×add-cube-cbrt
23×associate-/r/
17×add-exp-log
15×add-cbrt-cube
13×associate-/r*
12×associate-*r/
11×flip3-+ flip-+
9×associate-/l*
8×distribute-rgt-out-- difference-of-squares
7×pow1
5×div-exp distribute-lft-out
4×cbrt-undiv associate-*r* distribute-lft-out-- add-log-exp
3×frac-2neg associate-*l* clear-num div-inv
2×prod-exp cbrt-unprod
1×distribute-rgt-in rec-exp flip3-- pow-flip distribute-lft-in 1-exp pow-prod-down *-commutative frac-sub flip-- inv-pow unswap-sqr
Counts
4 → 133
Calls
4 calls:
5.0ms
(* z (+ y x))
5.0ms
(/ 1.0 (+ y x))
16.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
6.0ms
(/ y (* z (+ y x)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ y x))
5.0ms
(/ 1.0 (+ y x))
20.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* z (+ y x)))))
8.0ms
(/ y (* z (+ y x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
056861861

prune135.0ms

Filtered
94 candidates to 145 candidates (-54.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1423145
Fresh224
Picked011
Done022
Total1448152

Merged error: 0.0b

Counts
152 → 8

regimes260.0ms

Accuracy

91.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch27.0ms

Steps
ItersRangePoint
7
1.073985605704393e-15
1.3277552486154808e-13
5.988031705976441e-14
10
-1.0060954428828011e+27
-3.873220072592815e+16
-1.5895385369056823e+22

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09535
19535

end0.0ms

sample406.0ms

Algorithm
intervals
Results
234.0ms8000×body80valid

Profiling

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