Details

Time bar (total: 7.6s)

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 17.775537%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
13.0ms163×body80invalid
11.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.8b
(/ (* x x) (* y y))
20.3b
(/ (* z z) (* t t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
8.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
7.0ms
(/ (* z z) (* t t))

series39.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune98.0ms

Filtered
39 candidates to 64 candidates (-64.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 4.6b

Counts
65 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
19.8b
(/ (* x x) (* y y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
8.0ms
(/ (* x x) (* y y))

series35.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12934591
25001561

prune144.0ms

Filtered
69 candidates to 111 candidates (-60.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh448
Picked101
Done000
Total10713120

Merged error: 0.1b

Counts
120 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ x y) (/ x y))
10.0ms
(* (/ z t) (/ z t))

series38.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(* (/ z t) (/ z t))

simplify99.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08181019
14079895
25001862

prune192.0ms

Filtered
104 candidates to 163 candidates (-56.7%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1558163
Fresh5712
Picked101
Done000
Total16115176

Merged error: 0.0b

Counts
176 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
12.4b
(cbrt (/ x y))
12.4b
(cbrt (/ x y))
12.4b
(cbrt (/ x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
14.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series58.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
13.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))
13.0ms
(cbrt (/ x y))

simplify86.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
02811133
19711088
239501022
35002989

prune143.0ms

Filtered
119 candidates to 156 candidates (-31.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh11314
Picked011
Done000
Total15615171

Merged error: 0.0b

Counts
171 → 15

regimes1.1s

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01815
11815

end0.0ms

sample3.0s

Algorithm
intervals
sampling

Space saved by range analysis: 17.775537%

Space saved by search: 0.195169%

Guaranteed chance to sample good point: 0%

Results
357.0ms8000×body80valid
233.0ms4715×body80invalid

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