Details

Time bar (total: 3.3s)

analyze653.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14

sample21.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms66×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0227
1227

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x z))
6.4b
(* y (* t (- x z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×sub-neg associate-*r/ associate-*r* associate-*l*
5×distribute-rgt-in add-cube-cbrt distribute-lft-in
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 48
Calls
2 calls:
6.0ms
(* t (- x z))
7.0ms
(* y (* t (- x z)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(* t (- x z))
14.0ms
(* y (* t (- x z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04962393
14962393

prune71.0ms

Filtered
32 candidates to 54 candidates (-68.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48654
Fresh011
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (* y t) (- x z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt sub-neg associate-*r/
1×distribute-rgt-in flip3-- distribute-lft-in associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
7.0ms
(* (* y t) (- x z))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(* (* y t) (- x z))

simplify31.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05085214

prune40.0ms

Filtered
15 candidates to 27 candidates (-80.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New26127
Fresh246
Picked011
Done011
Total28735

Merged error: 0b

Counts
35 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(cbrt (- x z))
1.9b
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
3.7b
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*r/
70×cbrt-div
35×flip3-- flip--
32×frac-times
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down associate-*l/ prod-exp cbrt-unprod
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×add-cube-cbrt associate-*r*
4×associate-*l* add-log-exp
3×distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
Counts
4 → 114
Calls
4 calls:
3.0ms
(cbrt (- x z))
3.0ms
(cbrt (- x z))
19.0ms
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
14.0ms
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

series94.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- x z))
26.0ms
(cbrt (- x z))
11.0ms
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
30.0ms
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049731928
149731928

prune134.0ms

Filtered
80 candidates to 126 candidates (-57.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh044
Picked011
Done022
Total1267133

Merged error: 0b

Counts
133 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

6.4b
(* y (* (* (cbrt (* t (- x z))) (cbrt (* t (- x z)))) (cbrt (* t (- x z)))))
8.3b
(cbrt (* t (- x z)))
8.3b
(cbrt (* t (- x z)))
8.3b
(cbrt (* t (- x z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
94×associate-*r/
60×cbrt-div
30×flip3-- flip--
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 80
Calls
4 calls:
15.0ms
(* y (* (* (cbrt (* t (- x z))) (cbrt (* t (- x z)))) (cbrt (* t (- x z)))))
4.0ms
(cbrt (* t (- x z)))
4.0ms
(cbrt (* t (- x z)))
4.0ms
(cbrt (* t (- x z)))

series123.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* y (* (* (cbrt (* t (- x z))) (cbrt (* t (- x z)))) (cbrt (* t (- x z)))))
34.0ms
(cbrt (* t (- x z)))
35.0ms
(cbrt (* t (- x z)))
37.0ms
(cbrt (* t (- x z)))

simplify66.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
051041234

prune92.0ms

Filtered
68 candidates to 92 candidates (-35.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh033
Picked011
Done033
Total92799

Merged error: 0b

Counts
99 → 7

regimes488.0ms

Accuracy

88.5% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04758
14758

end0.0ms

analyze674.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
23.4%74.9%1.8%11
27.3%69%3.7%12
36.6%56.5%6.8%13
40.5%52%7.4%14

sample533.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
57.0ms1875×body80invalid

Profiling

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