Details

Time bar (total: 2.1s)

analyze234.0ms

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
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms24×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
097
197

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.6b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b
(* x (- 1.0 (* y z)))

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 (* y z)))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* x (- 1.0 (* y z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04979214
14979214

prune55.0ms

Filtered
17 candidates to 25 candidates (-47.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New17825
Fresh000
Picked101
Done000
Total18826

Merged error: 3.5b

Counts
26 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y (neg z))))
6.9b
(* x (* y (neg z)))

rewrite11.0ms

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 (* y (neg z))))
7.0ms
(* x (* y (neg z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(+ (* x 1.0) (* x (* y (neg z))))
6.0ms
(* x (* y (neg z)))

simplify32.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05147303

prune54.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh437
Picked011
Done000
Total39746

Merged error: 0.0b

Counts
46 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(* y (* z (neg (cbrt x))))
3.2b
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
24×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×distribute-rgt-neg-out
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* y (* z (neg (cbrt x))))
11.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
24.0ms
(cbrt x)
20.0ms
(* y (* z (neg (cbrt x))))
10.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (cbrt x)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04929481
14929481

prune79.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New80282
Fresh145
Picked011
Done011
Total81889

Merged error: 0.0b

Counts
89 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))
3.2b
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
24×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×distribute-rgt-neg-out
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 70
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))
12.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))))

series76.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
23.0ms
(cbrt x)
21.0ms
(* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))))))
10.0ms
(* (* (cbrt x) (cbrt x)) (* y (* z (neg (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x)))))))

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04960490
14960490

prune61.0ms

Filtered
47 candidates to 82 candidates (-74.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh055
Picked011
Done022
Total82890

Merged error: 0.0b

Counts
90 → 8

regimes479.0ms

Accuracy

95.6% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05033
15033

end0.0ms

analyze252.0ms

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
31.2%68.6%0.1%8
39%57.7%3.3%9
47.6%46%6.4%10
58.1%35.5%6.4%11
62.2%29.1%8.7%12
66.2%22.7%11.1%13
71.3%17.6%11.1%14

sample356.0ms

Algorithm
intervals
Results
187.0ms8000×body80valid
16.0ms604×body80invalid

Profiling

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