Details

Time bar (total: 2.0s)

analyze56.0ms

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
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms4×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
7.0ms
(* x (- 1.0 (* x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* x (- 1.0 (* x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04944218
14944218

prune46.0ms

Filtered
16 candidates to 25 candidates (-56.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New19625
Fresh000
Picked011
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series161.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
37.0ms
(cbrt (- 1.0 (* x y)))
40.0ms
(cbrt (- 1.0 (* x y)))
37.0ms
(cbrt (- 1.0 (* x y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053941430

prune221.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New98199
Fresh055
Picked011
Done011
Total988106

Merged error: 0.0b

Counts
106 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* x y)))
2.0ms
(sqrt (- 1.0 (* x y)))
6.0ms
(* x (sqrt (- 1.0 (* x y))))
9.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(sqrt (- 1.0 (* x y)))
13.0ms
(sqrt (- 1.0 (* x y)))
18.0ms
(* x (sqrt (- 1.0 (* x y))))
6.0ms
(* (* x (sqrt (- 1.0 (* x y)))) (sqrt (- 1.0 (* x y))))

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049771129
149771129

prune143.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103

Merged error: 0.0b

Counts
103 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cbrt (sqrt (- 1.0 (* x y)))) (cbrt (sqrt (- 1.0 (* x y)))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b
(cbrt (- 1.0 (* x y)))
0.2b
(cbrt (- 1.0 (* x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-prod
56×add-sqr-sqrt
28×cbrt-div
26×add-cube-cbrt *-un-lft-identity
20×sqrt-prod
18×pow1
17×swap-sqr
15×associate-*r* associate-*l*
14×flip3-- pow1/3 flip--
13×unswap-sqr
12×sqrt-div
8×add-exp-log frac-times
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 138
Calls
4 calls:
10.0ms
(* (cbrt (sqrt (- 1.0 (* x y)))) (cbrt (sqrt (- 1.0 (* x y)))))
8.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms
(cbrt (- 1.0 (* x y)))
2.0ms
(cbrt (- 1.0 (* x y)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (cbrt (sqrt (- 1.0 (* x y)))) (cbrt (sqrt (- 1.0 (* x y)))))
49.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
37.0ms
(cbrt (- 1.0 (* x y)))
40.0ms
(cbrt (- 1.0 (* x y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
054022361

prune355.0ms

Filtered
102 candidates to 150 candidates (-47.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1500150
Fresh044
Picked011
Done033
Total1508158

Merged error: 0.0b

Counts
158 → 8

regimes166.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087
187

end0.0ms

analyze58.0ms

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
37.5%50%12.6%6
50%37.5%12.6%7
56.2%25%18.8%8
62.4%18.7%18.8%9
65.6%12.5%22%10
68.7%9.4%22%11
70.2%6.2%23.5%12
71.8%4.7%23.5%13
72.6%3.1%24.3%14

sample307.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid
2.0ms89×body80invalid

Profiling

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