Details

Time bar (total: 1.9s)

analyze250.0ms

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

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms17×body80invalid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
02857
12857

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
2.9b
(* x (- 1.0 (* y z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(- 1.0 (* y z))
5.0ms
(* x (- 1.0 (* y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 1.0 (* y z))
10.0ms
(* x (- 1.0 (* y z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04951327
14951327

prune74.0ms

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

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New291039
Fresh000
Picked011
Done000
Total291140

Merged error: 3.0b

Counts
40 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y (neg z))))
5.5b
(* x (* y (neg z)))

rewrite12.0ms

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:
6.0ms
(+ (* x 1.0) (* x (* y (neg z))))
5.0ms
(* x (* y (neg z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (* y (neg z))))
6.0ms
(* x (* y (neg z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04991291
14991291

prune45.0ms

Filtered
21 candidates to 38 candidates (-81.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh729
Picked101
Done011
Total44549

Merged error: 0.0b

Counts
49 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))
3.1b
(cbrt (- 1.0 (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
11.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))
2.0ms
(cbrt (- 1.0 (* y z)))

series144.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
40.0ms
(cbrt (- 1.0 (* y z)))
38.0ms
(cbrt (- 1.0 (* y z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
053011073

prune169.0ms

Filtered
68 candidates to 78 candidates (-14.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh033
Picked011
Done011
Total77683

Merged error: 0.0b

Counts
83 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x y) (neg z)))
5.9b
(* (* x y) (neg z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-neg-out
1×+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+
Counts
2 → 38
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x y) (neg z)))
5.0ms
(* (* 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))

simplify44.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04966331
14966331

prune40.0ms

Filtered
31 candidates to 44 candidates (-41.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New43144
Fresh033
Picked011
Done022
Total43750

Merged error: 0.0b

Counts
50 → 7

regimes497.0ms

Accuracy

97.5% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07929
17929

end0.0ms

sample361.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid
12.0ms558×body80invalid

Profiling

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