Details

Time bar (total: 1.6s)

analyze54.0ms

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

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0ms1×body80invalid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
5.0ms
(* 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 (7 fresh and 0 done)

PrunedKeptTotal
New18725
Fresh000
Picked101
Done000
Total19726

Merged error: 0.0b

Counts
26 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* x (neg y))))
0.2b
(* x (* x (neg y)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×distribute-rgt-neg-out add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 32
Calls
2 calls:
3.0ms
(+ (* x 1.0) (* x (* x (neg y))))
5.0ms
(* x (* x (neg y)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* x 1.0) (* x (* x (neg y))))
4.0ms
(* x (* x (neg y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04948311
14948311

prune49.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh246
Picked011
Done000
Total39645

Merged error: 0b

Counts
45 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
4.0ms
(cbrt (* x (- 1.0 (* x y))))

series212.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
49.0ms
(cbrt (* x (- 1.0 (* x y))))
48.0ms
(cbrt (* x (- 1.0 (* x y))))
50.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify42.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
058141361

prune170.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New84084
Fresh044
Picked011
Done011
Total84690

Merged error: 0b

Counts
90 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

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

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (- 1.0 (* x y)))
12.0ms
(sqrt (- 1.0 (* x y)))
20.0ms
(* 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 (44.0ms)

IterNodesCost
049771129
149771129

prune120.0ms

Filtered
65 candidates to 95 candidates (-46.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh033
Picked011
Done022
Total956101

Merged error: 0b

Counts
101 → 6

regimes170.0ms

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 (1.0ms)

IterNodesCost
02310
12310

end0.0ms

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

sample306.0ms

Algorithm
intervals
Results
183.0ms8000×body80valid
2.0ms86×body80invalid

Profiling

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