Details

Time bar (total: 2.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613437
750017

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: 20.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) (+ x y))
20.3b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×flip3-+ flip-+
6×add-cube-cbrt flip3-- flip--
5×associate-*l*
4×pow1 associate-*r/ associate-*r* associate-*l/
3×times-frac associate-/r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 62
Calls
2 calls:
9.0ms
(* (- x y) (+ x y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (- x y) (+ x y))
64.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0392500
12302438
25002431

prune133.0ms

Filtered
68 candidates to 51 candidates (75.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh000
Picked101
Done000
Total65469

Merged error: 0.4b

Counts
69 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x y) (+ x y))
0.0b
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
20.3b
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
41×associate-/r/
35×add-sqr-sqrt *-un-lft-identity
31×add-exp-log add-cube-cbrt
24×frac-times
19×flip3-+ add-cbrt-cube flip-+
18×flip3-- flip--
16×associate-/r*
14×div-exp
12×associate-*r/ associate-*l/
7×cbrt-undiv
6×pow1 div-inv associate-/l*
5×associate-*l* prod-exp
4×associate-*r*
3×rec-exp 1-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×distribute-rgt-in pow-flip distribute-lft-in pow-prod-down *-commutative distribute-lft-out distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 150
Calls
3 calls:
9.0ms
(* (- x y) (+ x y))
15.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
12.0ms
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

series166.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* (- x y) (+ x y))
64.0ms
(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
63.0ms
(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

simplify96.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
06271751
138031555
250021474

prune219.0ms

Filtered
159 candidates to 90 candidates (56.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1590159
Fresh033
Picked011
Done000
Total1594163

Merged error: 0.4b

Counts
163 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
20.0b
(/ (+ (* x x) (* y y)) (+ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
9×add-exp-log add-cbrt-cube
8×flip3-+ flip-+ div-inv associate-/l*
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 166
Calls
2 calls:
14.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
8.0ms
(/ (+ (* x x) (* y y)) (+ x y))

series126.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ (- x y) (/ (+ (* x x) (* y y)) (+ x y)))
63.0ms
(/ (+ (* x x) (* y y)) (+ x y))

simplify84.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06772255
130232178
250012175

prune268.0ms

Filtered
172 candidates to 113 candidates (65.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done011
Total1724176

Merged error: 0.4b

Counts
176 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.4b

Counts
4 → 4

regimes62.0ms

Accuracy

72.3% (5.6b remaining)

Error of 6.1b against oracle of 0.5b and baseline of 20.7b

bsearch106.0ms

Steps
ItersRangePoint
8
1.9206896213809337e-184
4.181503438135773e-180
4.0726638591333035e-180
6
-8.865334295172247e-217
-1.6481328460967887e-217
-8.729111342630493e-217
8
-9.910152127881747e-161
-1.993734401338039e-165
-2.1586146507323798e-165
8
-1.1689349487120473e+156
-8.816391195571744e+152
-5.5299296582074305e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

sample577.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
151.0ms8000×pre80true

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