Details

Time bar (total: 2.2s)

sample25.0ms

Algorithm
intervals
Results
6.0ms314×body80valid

simplify585.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072
1152
2152

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
8.0ms
(* (+ x y) z)

series15.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(* (+ x y) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010684
141172
2181172
3500372

prune41.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New21324
Fresh000
Picked011
Done000
Total21425

Merged error: 0b

Counts
25 → 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))

rewrite21.0ms

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×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
9.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series136.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
30.0ms
(cbrt (+ x y))
29.0ms
(cbrt (+ x y))
38.0ms
(cbrt (+ x y))

simplify118.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0284746
1846709
23879634
35002621

prune103.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh022
Picked011
Done011
Total1074111

Merged error: 0b

Counts
111 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
3.2b
(sqrt (* (+ x y) z))
3.2b
(sqrt (* (+ x y) z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
5.0ms
(* (+ x y) z)
12.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.0ms
(sqrt (* (+ x y) z))
4.0ms
(sqrt (* (+ x y) z))

series63.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ x y) z)
6.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
27.0ms
(sqrt (* (+ x y) z))
25.0ms
(sqrt (* (+ x y) z))

simplify46.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257508
11170465
25002451

prune82.0ms

Filtered
68 candidates to 116 candidates (-70.6%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done022
Total1164120

Merged error: 0b

Counts
120 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

2.1b
(- (* x x) (* y y))
9.6b
(* (- (* x x) (* y y)) z)
21.5b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
6.0ms
(* (- (* x x) (* y y)) z)
9.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- (* x x) (* y y))
11.0ms
(* (- (* x x) (* y y)) z)
16.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify43.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0302480
11573406
25001397

prune57.0ms

Filtered
50 candidates to 72 candidates (-44.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done033
Total72476

Merged error: 0b

Counts
76 → 4

regimes231.0ms

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
072
172

end0.0ms

sample466.0ms

Algorithm
intervals
Results
195.0ms10094×body80valid

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