Details

Time bar (total: 3.9s)

analyze629.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms67×body80invalid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 9.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z y))
8.7b
(* (- (* x y) (* z y)) t)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×flip3-- distribute-rgt-out-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 34
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
6.0ms
(* (- (* x y) (* z y)) t)

series23.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (* x y) (* z y))
16.0ms
(* (- (* x y) (* z y)) t)

simplify101.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0157205
1644173
23801169
35001169

prune70.0ms

Filtered
31 candidates to 40 candidates (-29.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New32840
Fresh000
Picked011
Done000
Total32941

Merged error: 0.1b

Counts
41 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
8.2b
(* y (* (- x z) t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×associate-*l*
7×*-un-lft-identity
5×add-cube-cbrt
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
2×flip3-- associate-*r/ *-commutative flip-- add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 42
Calls
2 calls:
6.0ms
(* (- x z) t)
7.0ms
(* y (* (- x z) t))

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- x z) t)
11.0ms
(* y (* (- x z) t))

simplify105.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0183193
1784160
24688160
35001160

prune77.0ms

Filtered
33 candidates to 48 candidates (-45.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New42648
Fresh437
Picked011
Done011
Total461157

Merged error: 0.0b

Counts
57 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

8.2b
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
10.6b
(cbrt (* (- x z) t))
10.6b
(cbrt (* (- x z) t))
10.6b
(cbrt (* (- x z) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
74×associate-*l/
60×cbrt-div
34×associate-*r/
30×flip3-- flip--
28×frac-times
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:
16.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
5.0ms
(cbrt (* (- x z) t))
5.0ms
(cbrt (* (- x z) t))
5.0ms
(cbrt (* (- x z) t))

series108.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (cbrt (* (- x z) t))))
30.0ms
(cbrt (* (- x z) t))
30.0ms
(cbrt (* (- x z) t))
33.0ms
(cbrt (* (- x z) t))

simplify101.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
04451086
11209982
24520904
35001859

prune129.0ms

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

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New91192
Fresh088
Picked011
Done022
Total9112103

Merged error: 0.0b

Counts
103 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
8.2b
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (* (cbrt (- x z)) (cbrt t))))
10.6b
(cbrt (* (- x z) t))
10.6b
(cbrt (* (- x z) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
72×associate-*l/
58×cbrt-div
34×associate-*r/
29×flip3-- flip--
28×frac-times
22×pow1 add-exp-log
14×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×cbrt-prod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt t)
18.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (* (cbrt (- x z)) (cbrt t))))
4.0ms
(cbrt (* (- x z) t))
5.0ms
(cbrt (* (- x z) t))

series99.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt t)
15.0ms
(* y (* (* (cbrt (* (- x z) t)) (cbrt (* (- x z) t))) (* (cbrt (- x z)) (cbrt t))))
30.0ms
(cbrt (* (- x z) t))
32.0ms
(cbrt (* (- x z) t))

simplify58.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
06441190
121791058
250021020

prune103.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New98098
Fresh088
Picked011
Done033
Total9812110

Merged error: 0.0b

Counts
110 → 12

regimes680.0ms

Accuracy

94.6% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03129
13429
24019
34319
44919
56019
66719
76819
86819

end0.0ms

analyze854.0ms

Algorithm
search

sample538.0ms

Algorithm
intervals
Results
248.0ms8000×body80valid
56.0ms1947×body80invalid

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