Details

Time bar (total: 7.9s)

sample2.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.614746%

Guaranteed chance to sample good point: 44.436213%

Results
11.0ms256×body80valid
7.0ms160×body80invalid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.0b
(/ (* x x) (* y y))
24.6b
(/ (* z z) (* t t))

rewrite22.0ms

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:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series34.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (* 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

prune93.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 4.1b

Counts
65 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
19.0b
(/ (* x x) (* y y))

rewrite28.0ms

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))
6.0ms
(/ (* x x) (* y y))

series37.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0590695
12934591
25001561

prune135.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1038111
Fresh257
Picked101
Done000
Total10613119

Merged error: 0.1b

Counts
119 → 13

localize8.0ms

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))

rewrite36.0ms

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)))
12.0ms
(* (/ x y) (/ x y))
10.0ms
(* (/ z t) (/ z t))

series34.0ms

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

simplify101.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08181019
14079895
25001862

prune207.0ms

Filtered
103 candidates to 163 candidates (-58.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New14716163
Fresh10212
Picked101
Done000
Total15818176

Merged error: 0b

Counts
176 → 18

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
24.4b
(cbrt (* (/ x y) (/ x y)))
24.4b
(cbrt (* (/ x y) (/ x y)))
24.4b
(cbrt (* (/ x y) (/ x y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
11×pow1
9×cbrt-div
4×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×cbrt-prod pow1/3
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 103
Calls
4 calls:
10.0ms
(* (/ z t) (/ z t))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ z t) (/ z t))
19.0ms
(cbrt (* (/ x y) (/ x y)))
19.0ms
(cbrt (* (/ x y) (/ x y)))
22.0ms
(cbrt (* (/ x y) (/ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0434696
11981613
25001543

prune89.0ms

Filtered
80 candidates to 115 candidates (-43.8%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1150115
Fresh01717
Picked011
Done000
Total11518133

Merged error: 0b

Counts
133 → 18

regimes1.2s

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

sample3.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.614746%

Guaranteed chance to sample good point: 44.436213%

Results
370.0ms8000×body80valid
239.0ms4833×body80invalid

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