Details

Time bar (total: 2.1s)

sample106.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 81.262212%

Space saved by search: 81.262212%

Guaranteed chance to sample good point: 99.206543%

Results
9.0ms256×body80valid
5.0ms256×pre80true

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1487
21047
31967
43597
56867
613437
750017

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) (* y y))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite15.0ms

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:
3.0ms
(+ (* x x) (* y y))
11.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(+ (* x x) (* y y))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0308388
11848330
25001322

prune272.0ms

Filtered
39 candidates to 48 candidates (-23.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0.2b

Counts
49 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
30×add-sqr-sqrt
24×associate-/l/
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log times-frac
19×add-cbrt-cube
16×flip3-+ flip-+
14×associate-/r/
13×frac-times
12×swap-sqr associate-*r* associate-*l*
11×pow1
9×flip3-- associate-/r* flip--
7×associate-*r/ associate-*l/ div-inv
6×cbrt-undiv pow1/3 div-exp
4×cbrt-div prod-exp cbrt-unprod add-log-exp unswap-sqr
3×frac-2neg clear-num associate-/l*
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 154
Calls
4 calls:
14.0ms
(* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
16.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04072122
120641914
250031757

prune170.0ms

Filtered
131 candidates to 166 candidates (-26.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1651166
Fresh022
Picked101
Done000
Total1663169

Merged error: 0.2b

Counts
169 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.1b
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-/l/
24×add-exp-log add-cbrt-cube
16×frac-times flip3-+ flip-+
12×add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity times-frac associate-/r* flip--
8×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/r/
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
4 → 124
Calls
4 calls:
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)))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
10.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
02701244
114341060
250011044

prune175.0ms

Filtered
112 candidates to 136 candidates (-21.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done000
Total1363139

Merged error: 0.2b

Counts
139 → 3

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

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0.2b

Counts
3 → 3

regimes120.0ms

Accuracy

77.7% (4.4b remaining)

Error of 4.9b against oracle of 0.5b and baseline of 20.2b

bsearch48.0ms

Steps
ItersRangePoint
5
4.0541930142585515e-171
1.0704528924088795e-170
1.0531894547876126e-170
9
-3.9255324050601944e-159
-6.065170337636901e-168
-2.558146060643693e-159
7
-5.975579345330341e+155
-8.89448461683465e+153
-9.371036748476118e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03892
13892

end0.0ms

sample713.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 81.262212%

Space saved by search: 81.262212%

Guaranteed chance to sample good point: 99.206543%

Results
288.0ms8000×body80valid
147.0ms8000×pre80true

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