Details

Time bar (total: 4.9s)

analyze869.0ms

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
13.0ms191×body80invalid
11.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

20.2b
(/ (* x x) (* y y))
22.1b
(/ (* z z) (* t t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

simplify31.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285248
11335170
25001160

prune70.0ms

Filtered
26 candidates to 48 candidates (-84.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New42648
Fresh000
Picked101
Done000
Total43649

Merged error: 3.7b

Counts
49 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
20.2b
(/ (* x x) (* y y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
9.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

series10.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0482529
12387434
25001394

prune122.0ms

Filtered
57 candidates to 94 candidates (-64.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New831194
Fresh325
Picked101
Done000
Total8713100

Merged error: 0.1b

Counts
100 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
10.0ms
(* (/ x y) (/ x y))
12.0ms
(* (/ z t) (/ z t))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ x y) (/ x y))
5.0ms
(* (/ z t) (/ z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0668810
13378698
25002664

prune177.0ms

Filtered
89 candidates to 140 candidates (-57.3%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New13010140
Fresh5712
Picked101
Done000
Total13617153

Merged error: 0b

Counts
153 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
19.5b
(cbrt (* (/ z t) (/ z t)))
19.5b
(cbrt (* (/ z t) (/ z t)))
19.5b
(cbrt (* (/ z t) (/ z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
7.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series76.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
18.0ms
(cbrt (* (/ z t) (/ z t)))
19.0ms
(cbrt (* (/ z t) (/ z t)))
19.0ms
(cbrt (* (/ z t) (/ z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0212757
1659686
22655619
35002561

prune76.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01616
Picked011
Done000
Total9717114

Merged error: 0b

Counts
114 → 17

regimes1.2s

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

analyze868.0ms

Algorithm
search

sample960.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid
262.0ms5886×body80invalid

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