Details

Time bar (total: 1.5s)

analyze70.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
40.6%59.3%0.1%6
53.1%45.3%1.7%7
62.4%32.8%4.8%8
69.5%22.6%7.9%9
74.5%16.4%9.1%10
78.2%11.1%10.6%11
80.9%8.2%10.9%12
82.8%5.5%11.7%13
84.1%4.1%11.8%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms1×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02557
12557

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
2×diff-log
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity associate--l+ sum-log add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
6.0ms
(- (+ x y) (* x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(- (+ x y) (* x y))

simplify40.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05299164

prune22.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (- y (* x y)))) (cbrt (+ x (- y (* x y)))))
0.5b
(cbrt (+ x (- y (* x y))))
0.5b
(cbrt (+ x (- y (* x y))))
0.5b
(cbrt (+ x (- y (* x y))))

rewrite29.0ms

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:
13.0ms
(* (cbrt (+ x (- y (* x y)))) (cbrt (+ x (- y (* x y)))))
4.0ms
(cbrt (+ x (- y (* x y))))
5.0ms
(cbrt (+ x (- y (* x y))))
4.0ms
(cbrt (+ x (- y (* x y))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt (+ x (- y (* x y)))) (cbrt (+ x (- y (* x y)))))
21.0ms
(cbrt (+ x (- y (* x y))))
18.0ms
(cbrt (+ x (- y (* x y))))
19.0ms
(cbrt (+ x (- y (* x y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049331748
149331748

prune107.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh011
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b
(+ (* x x) (* (- y (* x y)) (- (* x y) y)))
14.6b
(/ (* (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y)))) (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))) (* (cbrt (+ x (- (* x y) y))) (cbrt (+ x (- (* x y) y)))))
27.6b
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))
27.6b
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-+ flip-+
8×frac-times associate-/r/ add-cbrt-cube associate-/l/
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod
2×sub-neg associate-+r+ pow1/3
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in times-frac clear-num associate-/r* sum-log div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
5.0ms
(+ (* x x) (* (- y (* x y)) (- (* x y) y)))
27.0ms
(/ (* (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y)))) (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))) (* (cbrt (+ x (- (* x y) y))) (cbrt (+ x (- (* x y) y)))))
4.0ms
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))
4.0ms
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))

series173.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (* x x) (* (- y (* x y)) (- (* x y) y)))
82.0ms
(/ (* (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y)))) (cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))) (* (cbrt (+ x (- (* x y) y))) (cbrt (+ x (- (* x y) y)))))
41.0ms
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))
37.0ms
(cbrt (+ (* x x) (* (- y (* x y)) (- (* x y) y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
051122870

prune126.0ms

Filtered
72 candidates to 88 candidates (-22.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done022
Total88492

Merged error: 0.0b

Counts
92 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (- y (* x y))))
0.0b
(- y (* x y))
0.0b
(- y (* x y))
0.2b
(* (sqrt (+ x (- y (* x y)))) (sqrt (+ x (- y (* x y)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
30×sqrt-prod
26×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 pow1/2
8×add-log-exp
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg flip3-- distribute-rgt-out-- diff-log associate-*r/ associate-*l/ flip--
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
5.0ms
(sqrt (+ x (- y (* x y))))
3.0ms
(- y (* x y))
3.0ms
(- y (* x y))
13.0ms
(* (sqrt (+ x (- y (* x y)))) (sqrt (+ x (- y (* x y)))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (+ x (- y (* x y))))
5.0ms
(- y (* x y))
5.0ms
(- y (* x y))
26.0ms
(* (sqrt (+ x (- y (* x y)))) (sqrt (+ x (- y (* x y)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049531242
149531242

prune79.0ms

Filtered
63 candidates to 114 candidates (-81.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done033
Total1144118

Merged error: 0.0b

Counts
118 → 4

regimes118.0ms

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
0337
1337

end0.0ms

sample329.0ms

Algorithm
intervals
Results
190.0ms7998×body80valid
1.0ms65×body80invalid
0.0ms1×body640valid
0.0ms1×body320valid

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