Details

Time bar (total: 3.2s)

analyze663.0ms

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

sample37.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
04377
14377

prune14.0ms

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))
6.0b
(* 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)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* t (- x z))
10.0ms
(* y (* t (- x z)))

simplify31.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05277393

prune66.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49554
Fresh011
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

5.0b
(* (* 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))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (* y t) (- x z))

simplify37.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05019214

prune39.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New25227
Fresh235
Picked011
Done011
Total27734

Merged error: 0.0b

Counts
34 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x z))
0.6b
(cbrt (- x z))
1.0b
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
4.6b
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

rewrite51.0ms

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))
21.0ms
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
17.0ms
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- x z))
29.0ms
(cbrt (- x z))
11.0ms
(* (* y (* t (* (cbrt (- x z)) (cbrt (- x z))))) (cbrt (- x z)))
28.0ms
(* y (* t (* (cbrt (- x z)) (cbrt (- x z)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050461918

prune129.0ms

Filtered
77 candidates to 126 candidates (-63.6%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh134
Picked011
Done022
Total1267133

Merged error: 0.0b

Counts
133 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(* (* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y)))) (cbrt (- x z)))
1.5b
(* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
90×add-exp-log
69×prod-exp
37×cbrt-unprod
34×pow1
31×add-cbrt-cube
21×pow-prod-down
11×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
9×associate-*r*
8×add-cube-cbrt
4×pow-to-exp pow-exp add-log-exp
2×cbrt-div pow1/3 associate-*r/ associate-*l* *-commutative
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
22.0ms
(* (* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y)))) (cbrt (- x z)))
17.0ms
(* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
26.0ms
(cbrt y)
16.0ms
(* (* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y)))) (cbrt (- x z)))
32.0ms
(* (* (cbrt y) (cbrt y)) (* t (* (pow (cbrt (- x z)) 2) (cbrt y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049231014
149231014

prune82.0ms

Filtered
52 candidates to 106 candidates (-103.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh033
Picked011
Done033
Total1067113

Merged error: 0.0b

Counts
113 → 7

regimes466.0ms

Accuracy

88.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07558
17558

end0.0ms

sample1.1s

Algorithm
intervals
Results
211.0ms8000×body80valid

Profiling

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