Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613557
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: 20.8b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

20.6b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
6×add-exp-log add-cbrt-cube
4×frac-times flip3-+ flip-+
3×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0270311
11434265
25001261

prune69.0ms

Filtered
34 candidates to 28 candidates (82.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New30434
Fresh000
Picked101
Done000
Total31435

Merged error: 0.3b

Counts
35 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.3b

Counts
4 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
19.9b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
25×times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×associate-*l*
4×pow1 associate-/r/ associate-/l*
3×flip3-+ associate-/r* flip-+
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 78
Calls
2 calls:
17.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
7.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
44.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0345738
11708670
25003668

prune126.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done011
Total84488

Merged error: 0.3b

Counts
88 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* y y))
4.6b
(/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1)))
12.6b
(* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y))
21.7b
(* (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (- (* x x) (* y y)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
1345×times-frac
1188×add-sqr-sqrt
921×*-un-lft-identity
444×difference-of-squares
306×unpow-prod-down
252×sqr-pow
249×associate-*l*
173×add-cube-cbrt
121×distribute-lft-out
64×distribute-lft-out--
60×associate-/r*
20×add-exp-log add-cbrt-cube div-inv
18×frac-times
17×flip3-- flip--
11×pow1
10×associate-*r/
9×distribute-rgt-out-- associate-*r* associate-*l/
8×associate-/r/
7×prod-exp cbrt-unprod
6×add-log-exp
5×sub-neg
4×distribute-rgt-in distribute-lft-in pow-prod-down associate-/l*
3×cbrt-undiv div-exp
2×*-commutative frac-sub associate-/l/ sub-div unswap-sqr
1×frac-2neg flip3-+ diff-log clear-num flip-+
Counts
4 → 654
Calls
4 calls:
3.0ms
(- (* x x) (* y y))
44.0ms
(/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1)))
78.0ms
(* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y))
59.0ms
(* (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (- (* x x) (* y y)))

series248.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (* x x) (* y y))
57.0ms
(/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1)))
62.0ms
(* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y))
99.0ms
(* (* (/ (+ x y) (- (/ (pow x 4) 1) (/ (pow y 4) 1))) (- x y)) (- (* x x) (* y y)))

simplify132.0ms

Algorithm
egg-herbie
Counts
666 → 666
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
019289171
150017997

prune1.4s

Filtered
666 candidates to 356 candidates (53.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New6660666
Fresh011
Picked011
Done022
Total6664670

Merged error: 0.3b

Counts
670 → 4

regimes50.0ms

Accuracy

76.7% (4.9b remaining)

Error of 5.4b against oracle of 0.5b and baseline of 21.6b

bsearch71.0ms

Steps
ItersRangePoint
8
2.39730613721185e-164
5.962327224035683e-160
4.9297435662490567e-160
5
-1.4827304130402651e-151
-4.684440892065294e-152
-6.014479347653373e-152
8
-3.0861794699767674e-28
-4.133178656064754e-31
-3.0487862136205886e-28

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02814
12814

end0.0ms

sample595.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
155.0ms8000×pre80true