Details

Time bar (total: 1.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0167
1167

prune2.0ms

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))

rewrite8.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 46
Calls
1 calls:
7.0ms
(/ (- x y) (+ x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (- x y) (+ x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05580538

prune49.0ms

Filtered
33 candidates to 49 candidates (-48.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New46349
Fresh000
Picked101
Done000
Total47350

Merged error: 0.0b

Counts
50 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
7.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
21.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ x (+ x y))
5.0ms
(/ y (+ x y))
12.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
056121020

prune81.0ms

Filtered
74 candidates to 103 candidates (-39.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh022
Picked011
Done000
Total1024106

Merged error: 0b

Counts
106 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
6.0b
(cbrt (/ x (+ x y)))
6.0b
(cbrt (/ x (+ x y)))
6.0b
(cbrt (/ x (+ x y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 180
Calls
4 calls:
19.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
4.0ms
(cbrt (/ x (+ x y)))
4.0ms
(cbrt (/ x (+ x y)))
5.0ms
(cbrt (/ x (+ x y)))

series107.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (/ x (+ x y))) (cbrt (/ x (+ x y))))
24.0ms
(cbrt (/ x (+ x y)))
28.0ms
(cbrt (/ x (+ x y)))
25.0ms
(cbrt (/ x (+ x y)))

simplify104.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
048992457
148992457

prune155.0ms

Filtered
128 candidates to 192 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1920192
Fresh022
Picked011
Done011
Total1924196

Merged error: 0b

Counts
196 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(cbrt (/ (- x y) (+ x y)))
0.0b
(cbrt (/ (- x y) (+ x y)))
0.1b
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 244
Calls
4 calls:
6.0ms
(cbrt (/ (- x y) (+ x y)))
6.0ms
(cbrt (/ (- x y) (+ x y)))
6.0ms
(cbrt (/ (- x y) (+ x y)))
31.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

series115.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (/ (- x y) (+ x y)))
28.0ms
(cbrt (/ (- x y) (+ x y)))
28.0ms
(cbrt (/ (- x y) (+ x y)))
30.0ms
(* (cbrt (/ (- x y) (+ x y))) (cbrt (/ (- x y) (+ x y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
256 → 256
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049724407
149724407

prune164.0ms

Filtered
149 candidates to 256 candidates (-71.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2560256
Fresh011
Picked011
Done022
Total2564260

Merged error: 0b

Counts
260 → 4

regimes109.0ms

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 (1.0ms)

IterNodesCost
0711
1711

end0.0ms

sample376.0ms

Algorithm
intervals
Results
170.0ms8000×body80valid

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