Details

Time bar (total: 4.3s)

sample240.0ms

Algorithm
intervals
Results
209.0ms518×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: 33.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.9b
(/ (* z z) (* t t))
22.8b
(/ (* x x) (* y y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
*-un-lft-identity add-log-exp
pow1 add-sqr-sqrt add-cube-cbrt
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
+-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
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

series37.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune94.0ms

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: 5.7b

Counts
65 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
19.9b
(/ (* z z) (* t t))

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
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv add-log-exp
unswap-sqr
frac-add
frac-times associate-*r/ associate-*l/
+-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))
8.0ms
(/ (* z z) (* t t))

series34.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z z) (* t t))

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0590695
12942594
25001564

prune148.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New10110111
Fresh358
Picked101
Done000
Total10515120

Merged error: 0.1b

Counts
120 → 15

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

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
frac-add
cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
add-log-exp
pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series37.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
8.0ms
(* (/ z t) (/ z t))
6.0ms
(* (/ x y) (/ x y))

simplify101.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08181019
14079895
25001862

prune193.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh5914
Picked101
Done000
Total15919178

Merged error: 0.0b

Counts
178 → 19

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z (/ z t)) t))
0.2b
(* z (/ z t))
0.3b
(* (/ x y) (/ x y))
5.6b
(/ (* z (/ z t)) t)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
53×times-frac
42×add-cube-cbrt *-un-lft-identity
30×add-exp-log add-cbrt-cube
26×associate-*r*
16×associate-*l*
13×pow1 swap-sqr
cbrt-undiv div-exp
prod-exp cbrt-unprod
div-inv add-log-exp unswap-sqr
associate-*r/
frac-add associate-/r*
frac-times pow-prod-down associate-*l/ *-commutative
+-commutative pow2 frac-2neg flip3-+ pow-plus clear-num sum-log pow-sqr pow-prod-up flip-+ associate-/l/ associate-/l*
Counts
4 → 137
Calls
4 calls:
8.0ms
(+ (* (/ x y) (/ x y)) (/ (* z (/ z t)) t))
6.0ms
(* z (/ z t))
10.0ms
(* (/ x y) (/ x y))
8.0ms
(/ (* z (/ z t)) t)

series37.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* (/ x y) (/ x y)) (/ (* z (/ z t)) t))
3.0ms
(* z (/ z t))
5.0ms
(* (/ x y) (/ x y))
5.0ms
(/ (* z (/ z t)) t)

simplify90.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
0678832
13530717
25001689

prune106.0ms

Filtered
96 candidates to 149 candidates (-55.2%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New1472149
Fresh01818
Picked101
Done000
Total14820168

Merged error: 0.0b

Counts
168 → 20

regimes1.5s

Accuracy

51.2% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 4.3b

bsearch88.0ms

Steps
ItersRangePoint
9
7.80337606808417e+91
1.6098508794108843e+97
6.241322986387353e+95
7
-8.882530873319843e+164
-5.1732520206064464e+163
-6.280379510046617e+164

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03422
13422

end0.0ms

sample1.3s

Algorithm
intervals
Results
699.0ms15499×body80valid

Profiling

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