Details

Time bar (total: 7.5s)

analyze2.1s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 17.775537%

Guaranteed chance to sample good point: 44.436213%

sample37.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
9.0ms205×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.4b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.6b
(/ (* x x) (* y y))
21.9b
(/ (* 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:
8.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
7.0ms
(/ (* 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

prune95.0ms

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: 4.9b

Counts
65 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
21.9b
(/ (* z z) (* t t))

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:
8.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
10.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series41.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z z) (* t t))

simplify84.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0590695
12942594
25001564

prune124.0ms

Filtered
68 candidates to 111 candidates (-63.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1038111
Fresh448
Picked101
Done000
Total10812120

Merged error: 0.1b

Counts
120 → 12

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))

rewrite37.0ms

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))

series35.0ms

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))

simplify103.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
08181019
14079895
25001862

prune184.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15211163
Fresh5611
Picked101
Done000
Total15817175

Merged error: 0.0b

Counts
175 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
22.6b
(cbrt (* (/ z t) (/ z t)))
22.6b
(cbrt (* (/ z t) (/ z t)))
22.6b
(cbrt (* (/ z t) (/ z t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
6.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
22.0ms
(cbrt (* (/ z t) (/ z t)))
20.0ms
(cbrt (* (/ z t) (/ z t)))
19.0ms
(cbrt (* (/ z t) (/ z t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0212757
1659686
22655619
35002561

prune75.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01616
Picked011
Done000
Total9717114

Merged error: 0.0b

Counts
114 → 17

regimes1.2s

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

analyze2.1s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 17.775537%

Guaranteed chance to sample good point: 44.436213%

sample977.0ms

Algorithm
intervals
Results
375.0ms8000×body80valid
222.0ms4796×body80invalid

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