Details

Time bar (total: 1.9s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
5.0ms256×pre80true

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0491015
1491015

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.3b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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))
16.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x x) (* y y))
12.0ms
(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify16.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (12.0ms)

IterNodesCost
05008655

prune65.0ms

Filtered
38 candidates to 48 candidates (-26.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh101
Picked101
Done000
Total46450

Merged error: 0.8b

Counts
50 → 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

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.8b

Counts
4 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
0.0b
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
0.2b
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
19.8b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
31×add-sqr-sqrt
25×times-frac
24×add-cube-cbrt
18×associate-*l*
17×add-exp-log add-cbrt-cube
10×cube-div
9×pow1
8×cbrt-prod
7×distribute-lft-out
6×frac-times flip3-- associate-*r/ flip--
5×cbrt-div associate-*r*
4×prod-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp
3×cbrt-undiv pow-unpow flip3-+ div-exp associate-*l/ pow-exp associate-/r* flip-+ rem-cube-cbrt
2×distribute-rgt-in cube-mult sub-neg unpow-prod-down pow-pow distribute-lft-in unpow3 cube-prod pow-prod-down div-inv associate-/l/ unswap-sqr sqr-pow
1×pow-to-exp frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube distribute-lft-out-- difference-of-squares
Counts
4 → 133
Calls
4 calls:
3.0ms
(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
13.0ms
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
15.0ms
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
9.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
14.0ms
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
11.0ms
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
11.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054062394

prune170.0ms

Filtered
103 candidates to 145 candidates (-40.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh112
Picked011
Done011
Total1454149

Merged error: 0.8b

Counts
149 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
0.0b
(pow (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3) 3)
0.2b
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
19.8b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×add-sqr-sqrt
26×add-cube-cbrt
25×times-frac
24×add-exp-log
18×associate-*l* add-cbrt-cube
15×cube-div
11×unpow-prod-down cube-prod pow-exp
9×pow1
7×distribute-lft-out
6×frac-times pow-unpow flip3-- associate-*r/ prod-exp flip--
5×associate-*r*
4×cube-mult unpow3 div-exp associate-/r/ cbrt-unprod associate-/l* add-log-exp rem-cube-cbrt sqr-pow
3×cbrt-undiv pow-to-exp pow-pow flip3-+ associate-*l/ associate-/r* flip-+
2×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down div-inv associate-/l/ unswap-sqr
1×frac-2neg clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 153
Calls
4 calls:
14.0ms
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
7.0ms
(pow (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3) 3)
16.0ms
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
9.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
20.0ms
(pow (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3) 3)
11.0ms
(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
8.0ms
(/ (+ x y) (+ (* x x) (* y y)))

simplify38.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
050612937

prune234.0ms

Filtered
106 candidates to 165 candidates (-55.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1650165
Fresh011
Picked011
Done022
Total1654169

Merged error: 0.8b

Counts
169 → 4

regimes113.0ms

Accuracy

75.5% (5.1b remaining)

Error of 5.5b against oracle of 0.4b and baseline of 21.1b

bsearch52.0ms

Steps
ItersRangePoint
6
2.425152956084849e-162
1.6210813749955734e-161
2.4725987996815225e-162
5
3.3057430541288587e-174
6.714950041191796e-174
6.650158813927948e-174
8
-5.0994168056953787e-154
-1.4224042123516813e-157
-7.358225983735935e-156
9
-8.893327464571915e+158
-1.627647951438701e+150
-1.3396749332313781e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03358
13358

end0.0ms

sample731.0ms

Algorithm
intervals
Results
326.0ms8000×body80valid
160.0ms8000×pre80true

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