Details

Time bar (total: 2.3s)

analyze273.0ms

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

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms13×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
02857
12857

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.4b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (* y z))
3.2b
(* x (- 1.0 (* y z)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
sub-neg associate-*r* associate-*l*
flip3-- associate-*r/ flip--
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)))

simplify47.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04951327
14951327

prune76.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New31839
Fresh000
Picked101
Done000
Total32840

Merged error: 3.2b

Counts
40 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (* y (neg z))))
6.4b
(* x (* y (neg z)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
distribute-rgt-neg-out add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 32
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:
9.0ms
(+ (* x 1.0) (* x (* y (neg z))))
6.0ms
(* x (* y (neg z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04991291
14991291

prune56.0ms

Filtered
23 candidates to 38 candidates (-65.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh257
Picked011
Done000
Total39746

Merged error: 0.0b

Counts
46 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.4b
(cbrt (- 1.0 (* y z)))
3.4b
(cbrt (- 1.0 (* y z)))
3.4b
(cbrt (- 1.0 (* y z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-- flip--
add-cube-cbrt *-un-lft-identity
add-cbrt-cube
frac-times add-log-exp
pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*l/
associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
10.0ms
(* 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)))

series140.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
38.0ms
(cbrt (- 1.0 (* y z)))
36.0ms
(cbrt (- 1.0 (* y z)))
39.0ms
(cbrt (- 1.0 (* y z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
053011073

prune186.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New76278
Fresh235
Picked011
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (- 1.0 (* y z))))
3.2b
(* x (- 1.0 (* y z)))
3.2b
(* x (- 1.0 (* y z)))
3.2b
(* x (- 1.0 (* y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
associate-*r/
sub-neg
flip3-- flip-- add-log-exp
distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
cbrt-div
cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
4.0ms
(cbrt (* x (- 1.0 (* y z))))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))
5.0ms
(* x (- 1.0 (* y z)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (* x (- 1.0 (* y z))))
9.0ms
(* x (- 1.0 (* y z)))
10.0ms
(* x (- 1.0 (* y z)))
10.0ms
(* x (- 1.0 (* y z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05228796

prune136.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New88189
Fresh044
Picked011
Done022
Total88896

Merged error: 0.0b

Counts
96 → 8

regimes616.0ms

Accuracy

96.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08931
18931

end0.0ms

sample399.0ms

Algorithm
intervals
Results
210.0ms8000×body80valid
13.0ms548×body80invalid

Profiling

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