Details

Time bar (total: 3.7s)

sample35.0ms

Algorithm
intervals
Results
20.0ms494×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.7b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.5b
(/ (* x x) (* y y))
23.2b
(/ (* 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:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series138.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
24.0ms
(/ (* x x) (* y y))
25.0ms
(/ (* z z) (* t t))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune135.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 5.9b

Counts
65 → 9

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))
21.5b
(/ (* x x) (* y y))

rewrite27.0ms

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))

series181.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
48.0ms
(* (/ z t) (/ z t))
30.0ms
(/ (* x x) (* y y))

simplify70.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0590695
12934591
25002561

prune201.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1047111
Fresh538
Picked101
Done000
Total11010120

Merged error: 0.1b

Counts
120 → 10

localize8.0ms

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))

rewrite38.0ms

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
(* (/ z t) (/ z t))
14.0ms
(* (/ x y) (/ x y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
25.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify107.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
08181019
14079895
25001862

prune307.0ms

Filtered
163 candidates to 104 candidates (63.8%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh459
Picked101
Done000
Total15815173

Merged error: 0.0b

Counts
173 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
21.1b
(cbrt (* (/ x y) (/ x y)))
21.1b
(cbrt (* (/ x y) (/ x y)))
21.1b
(cbrt (* (/ x y) (/ x y)))

rewrite24.0ms

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 (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
86.0ms
(cbrt (* (/ x y) (/ x y)))
88.0ms
(cbrt (* (/ x y) (/ x y)))
87.0ms
(cbrt (* (/ x y) (/ x y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0197733
1610650
22523587
35001573

prune196.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh21214
Picked011
Done000
Total9814112

Merged error: 0.0b

Counts
112 → 14

regimes531.0ms

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

sample1.0s

Algorithm
intervals
Results
649.0ms15413×body80valid