Details

Time bar (total: 2.2s)

analyze279.0ms

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
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms21×body80invalid

simplify26.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
06737
16737

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (- 1.0 z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
associate-*r*
frac-times associate-*l*
pow1 add-exp-log add-cube-cbrt flip3-- flip3-+ add-cbrt-cube flip-- flip-+
sub-neg associate-*r/ associate-*l/
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 31
Calls
1 calls:
8.0ms
(* (+ x y) (- 1.0 z))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* (+ x y) (- 1.0 z))

simplify37.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
05062379

prune62.0ms

Filtered
25 candidates to 34 candidates (-36.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30434
Fresh000
Picked011
Done000
Total30535

Merged error: 0b

Counts
35 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
0.0b
(* (+ x y) (neg z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r* associate-*l/
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt flip3-+ flip-+
pow1 add-exp-log associate-*l* frac-add add-cbrt-cube add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
distribute-rgt-neg-out distribute-lft-out
+-commutative neg-mul-1 unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 46
Calls
2 calls:
7.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms
(* (+ x y) (neg z))

series18.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* (+ x y) 1.0) (* (+ x y) (neg z)))
7.0ms
(* (+ x y) (neg z))

simplify36.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05018538

prune67.0ms

Filtered
38 candidates to 52 candidates (-36.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh123
Picked011
Done011
Total52557

Merged error: 0b

Counts
57 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 z))
0.0b
(sqrt (- 1.0 z))
0.0b
(* (+ x y) (sqrt (- 1.0 z)))
0.1b
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
32×frac-times
25×add-sqr-sqrt
23×flip3-- flip--
21×*-un-lft-identity sqrt-prod
16×associate-*r* associate-*l/
13×pow1
12×flip3-+ flip-+
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
associate-*l*
pow-prod-down prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
distribute-lft-out
Counts
4 → 116
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
9.0ms
(* (+ x y) (sqrt (- 1.0 z)))
14.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- 1.0 z))
3.0ms
(sqrt (- 1.0 z))
15.0ms
(* (+ x y) (sqrt (- 1.0 z)))
8.0ms
(* (* (+ x y) (sqrt (- 1.0 z))) (sqrt (- 1.0 z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051211812

prune222.0ms

Filtered
93 candidates to 128 candidates (-37.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh112
Picked011
Done022
Total1285133

Merged error: 0b

Counts
133 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z)))))
0.0b
(sqrt (- (* 1.0 1.0) (* z z)))
0.0b
(/ (* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z))))) (sqrt (+ 1.0 z)))
0.0b
(sqrt (- 1.0 z))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-div
56×frac-times
38×flip3-- flip--
28×associate-*r/
26×associate-/l/
19×*-un-lft-identity flip3-+ flip-+
18×add-exp-log add-cbrt-cube
17×sqrt-prod
16×associate-*l/
15×add-sqr-sqrt
11×pow1 add-cube-cbrt
times-frac associate-/r*
prod-exp cbrt-unprod
associate-*l* add-log-exp
cbrt-undiv div-exp pow-prod-down distribute-lft-out
rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ difference-of-squares
frac-2neg associate-*r* clear-num *-commutative div-inv associate-/l* distribute-lft-out--
Counts
4 → 137
Calls
4 calls:
15.0ms
(* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z)))))
4.0ms
(sqrt (- (* 1.0 1.0) (* z z)))
20.0ms
(/ (* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z))))) (sqrt (+ 1.0 z)))
3.0ms
(sqrt (- 1.0 z))

series78.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z)))))
4.0ms
(sqrt (- (* 1.0 1.0) (* z z)))
40.0ms
(/ (* (+ x y) (* (sqrt (- 1.0 z)) (sqrt (- (* 1.0 1.0) (* z z))))) (sqrt (+ 1.0 z)))
4.0ms
(sqrt (- 1.0 z))

simplify78.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049543057
149543057

prune388.0ms

Filtered
124 candidates to 149 candidates (-20.2%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done033
Total1495154

Merged error: 0b

Counts
154 → 5

regimes308.0ms

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
0467
1467

end0.0ms

sample380.0ms

Algorithm
intervals
Results
193.0ms7998×body80valid
13.0ms582×body80invalid
0.0msbody1280valid

Profiling

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