Details

Time bar (total: 3.0s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
193
293

prune1.0ms

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
10.0ms
(/ (+ x y) (- x y))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x y) (- x y))

simplify44.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0174296
1526282
21532278
35001278

prune71.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47350
Fresh000
Picked011
Done000
Total47451

Merged error: 0b

Counts
51 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
10.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series524.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
119.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))
121.0ms
(cbrt (+ x y))

simplify146.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0255701
1926660
24357610
35001610

prune218.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done011
Total1154119

Merged error: 0b

Counts
119 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
287×*-un-lft-identity
170×times-frac
165×add-sqr-sqrt
162×sqrt-prod
77×add-cube-cbrt
53×swap-sqr
50×distribute-lft-out
42×distribute-lft-out--
30×difference-of-squares
29×associate-*r* associate-*l*
18×pow1
12×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube unswap-sqr
8×sqrt-pow1 pow1/2 associate-/l*
6×flip3-- flip-- div-inv
5×pow-prod-up
4×sqrt-div associate-/l/
3×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 244
Calls
3 calls:
8.0ms
(/ (+ x y) (- x y))
8.0ms
(/ (+ x y) (- x y))
32.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))

series195.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ (+ x y) (- x y))
61.0ms
(/ (+ x y) (- x y))
72.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))

simplify70.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
03681776
116931681
250011651

prune334.0ms

Filtered
253 candidates to 135 candidates (53.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2530253
Fresh011
Picked011
Done022
Total2534257

Merged error: 0b

Counts
257 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.1b
(/ 1 (sqrt (- x y)))
0.1b
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
0.2b
(/ (+ x y) (sqrt (- x y)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
147×*-un-lft-identity
134×times-frac
96×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
32×add-exp-log
30×associate-*l*
20×add-cbrt-cube
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv
5×flip3-- flip--
4×expm1-log1p-u cbrt-unprod log1p-expm1-u div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 247
Calls
4 calls:
4.0ms
(sqrt (- x y))
6.0ms
(/ 1 (sqrt (- x y)))
37.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
9.0ms
(/ (+ x y) (sqrt (- x y)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (- x y))
73.0ms
(/ 1 (sqrt (- x y)))
63.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
144.0ms
(/ (+ x y) (sqrt (- x y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
259 → 259
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07082249
142641968
250011828

prune348.0ms

Filtered
259 candidates to 141 candidates (54.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2590259
Fresh000
Picked011
Done033
Total2594263

Merged error: 0b

Counts
263 → 4

regimes44.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063
163

end0.0ms

sample263.0ms

Algorithm
intervals
Results
139.0ms8000×body80valid

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