Details

Time bar (total: 3.4s)

analyze632.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms70×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0153
1343
2723
31003
41083
51083

prune10.0ms

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: 7.8b

Counts
2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(* (- (* x y) (* z y)) t)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
6.0ms
(* (- (* x y) (* z y)) t)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (- (* x y) (* z y)) t)

simplify94.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0131128
1579108
23591106
35002106

prune51.0ms

Filtered
20 candidates to 24 candidates (-20.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh101
Picked011
Done000
Total19726

Merged error: 0.1b

Counts
26 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.5b
(* y (* (- x z) t))

rewrite14.0ms

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)
10.0ms
(* y (* (- x z) t))

simplify108.0ms

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

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New42648
Fresh145
Picked011
Done011
Total431255

Merged error: 0.0b

Counts
55 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (* y (* (- x z) t)))
6.5b
(* y (* (- x z) t))
6.5b
(* y (* (- x z) t))
6.5b
(* y (* (- x z) t))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
9×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×associate-*r/ associate-*l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×flip3-- flip-- add-log-exp
3×associate-*r* *-commutative
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 71
Calls
4 calls:
6.0ms
(cbrt (* y (* (- x z) t)))
7.0ms
(* y (* (- x z) t))
10.0ms
(* y (* (- x z) t))
7.0ms
(* y (* (- x z) t))

series62.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (* y (* (- x z) t)))
10.0ms
(* y (* (- x z) t))
11.0ms
(* y (* (- x z) t))
11.0ms
(* y (* (- x z) t))

simplify90.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0247428
1809350
23803347
35002342

prune104.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh189
Picked011
Done022
Total831295

Merged error: 0.0b

Counts
95 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(cbrt (* y (* (- x z) t)))
6.5b
(* y (* (- x z) t))
6.5b
(* y (* (- x z) t))
8.0b
(cbrt (* (- x z) t))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
4×cbrt-div flip3-- flip-- add-log-exp
2×cbrt-prod pow1/3 associate-*r* *-commutative
Counts
4 → 62
Calls
4 calls:
8.0ms
(cbrt (* y (* (- x z) t)))
7.0ms
(* y (* (- x z) t))
7.0ms
(* y (* (- x z) t))
5.0ms
(cbrt (* (- x z) t))

series84.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (* y (* (- x z) t)))
10.0ms
(* y (* (- x z) t))
10.0ms
(* y (* (- x z) t))
32.0ms
(cbrt (* (- x z) t))

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341432
11102370
25001364

prune73.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New74074
Fresh088
Picked011
Done033
Total741286

Merged error: 0.0b

Counts
86 → 12

regimes649.0ms

Accuracy

96.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

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

analyze648.0ms

Algorithm
search

sample540.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
63.0ms1954×body80invalid

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