Details

Time bar (total: 2.3s)

analyze261.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample25.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03007
13007

prune3.0ms

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 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity
associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
associate-*r*
associate-*l/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) z))
6.0ms
(* (- y x) z)

series13.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* (- y x) z))
6.0ms
(* (- y x) z)

simplify33.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05046303

prune47.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0b

Counts
40 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))
0.6b
(cbrt (+ x (* (- y x) z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))
2.0ms
(cbrt (+ x (* (- y x) z)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (cbrt (+ x (* (- y x) z))) (cbrt (+ x (* (- y x) z))))
43.0ms
(cbrt (+ x (* (- y x) z)))
42.0ms
(cbrt (+ x (* (- y x) z)))
44.0ms
(cbrt (+ x (* (- y x) z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
051421528

prune119.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done011
Total995104

Merged error: 0b

Counts
104 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) z)
0.2b
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
4.9b
(sqrt (* (- y x) z))
4.9b
(sqrt (* (- y x) z))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
flip3-- associate-*l* flip--
add-exp-log add-cbrt-cube
associate-*r*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
6.0ms
(* (- y x) z)
13.0ms
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
5.0ms
(sqrt (* (- y x) z))
5.0ms
(sqrt (* (- y x) z))

series120.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (- y x) z)
17.0ms
(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
47.0ms
(sqrt (* (- y x) z))
49.0ms
(sqrt (* (- y x) z))

simplify36.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05005829

prune89.0ms

Filtered
70 candidates to 117 candidates (-67.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done022
Total1175122

Merged error: 0b

Counts
122 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* z (- x y)))
4.2b
(* (- y x) (* z (* z (- x y))))
4.3b
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
27.5b
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
28×distribute-rgt-in distribute-lft-in
20×add-exp-log sub-neg add-cbrt-cube
18×pow1 associate-*r/
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
times-frac pow-prod-down prod-exp cbrt-unprod
associate-+r+ associate-*l*
flip3-- flip--
add-log-exp
frac-times
flip3-+ associate-/r* flip-+ associate-/l*
associate-*r* associate-*l/ associate-/r/ *-commutative associate-/l/
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
7.0ms
(* z (* z (- x y)))
12.0ms
(* (- y x) (* z (* z (- x y))))
6.0ms
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
8.0ms
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* z (* z (- x y)))
12.0ms
(* (- y x) (* z (* z (- x y))))
21.0ms
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
54.0ms
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
049892271
149892271

prune94.0ms

Filtered
82 candidates to 125 candidates (-52.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done033
Total1255130

Merged error: 0b

Counts
130 → 5

regimes199.0ms

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
0187
1187

end0.0ms

sample636.0ms

Algorithm
intervals
Results
150.0ms8000×body80valid

Profiling

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