Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
4.0ms256×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: 20.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
20.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-exp-log add-cbrt-cube
5×flip3-+ flip-+
4×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity add-log-exp
3×flip3-- times-frac associate-/r* flip--
2×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
1×+-commutative frac-2neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* x x) (* y y))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (* x x) (* y y))
64.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0308388
11848330
25001322

prune102.0ms

Filtered
48 candidates to 39 candidates (81.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New44448
Fresh000
Picked011
Done000
Total44549

Merged error: 0.2b

Counts
49 → 5

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 0.2b

Counts
5 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
20.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
20.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
20.4b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-/l/
19×add-exp-log add-cbrt-cube
13×flip3-+ flip-+
12×add-sqr-sqrt frac-times add-cube-cbrt *-un-lft-identity times-frac
9×cbrt-prod flip3-- associate-/r* flip--
8×associate-/r/
6×cbrt-undiv associate-*r/ div-exp associate-*l/
4×pow1 div-inv add-log-exp
3×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
1×cbrt-div pow1/3
Counts
4 → 111
Calls
4 calls:
8.0ms
(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
15.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series365.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
62.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
62.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
58.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify49.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03181178
115861021
25001985

prune316.0ms

Filtered
123 candidates to 104 candidates (84.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0.2b

Counts
128 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
0.0b
(/ (- x y) (sqrt (+ (* x x) (* y y))))
19.7b
(sqrt (+ (* x x) (* y y)))
19.7b
(sqrt (+ (* x x) (* y y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
115×add-sqr-sqrt
96×times-frac
95×*-un-lft-identity
57×add-cube-cbrt sqrt-prod
36×associate-*l*
30×associate-*r*
18×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
10×sqrt-div
9×unswap-sqr
8×pow1
6×associate-/r* associate-/r/ distribute-lft-out
5×cbrt-undiv flip3-+ div-exp flip-+ associate-/l*
4×prod-exp cbrt-unprod add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
4 → 183
Calls
4 calls:
38.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
9.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
3.0ms
(sqrt (+ (* x x) (* y y)))
3.0ms
(sqrt (+ (* x x) (* y y)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
84.0ms
(/ (- x y) (sqrt (+ (* x x) (* y y))))
39.0ms
(sqrt (+ (* x x) (* y y)))
36.0ms
(sqrt (+ (* x x) (* y y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06282483
125982290
250022205

prune318.0ms

Filtered
195 candidates to 124 candidates (63.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1950195
Fresh011
Picked011
Done033
Total1955200

Merged error: 0.2b

Counts
200 → 5

regimes73.0ms

Accuracy

78.9% (4.4b remaining)

Error of 4.9b against oracle of 0.5b and baseline of 21.3b

bsearch91.0ms

Steps
ItersRangePoint
10
1.2228561371258793e-180
4.066245390743261e-169
4.016736205803682e-169
9
-4.665434533817316e-160
-3.7299547512785777e-165
-1.8041450216697382e-160
8
-2.9980302389965735e+156
-3.605266790381871e+152
-8.534287291239738e+152

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02933
12933

end0.0ms

sample503.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
116.0ms8000×pre80true