Details

Time bar (total: 6.5s)

sample80.0ms

Algorithm
intervals
Results
38.0ms511×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

prune6.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.9b

Counts
2 → 1

localize17.0ms

Local error

Found 2 expressions with local error:

18.4b
(/ (* z z) (* t t))
22.8b
(/ (* x x) (* y y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
10.0ms
(/ (* z z) (* t t))
10.0ms
(/ (* x x) (* y y))

series16.0ms

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

simplify49.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0285248
11335170
25001160

prune131.0ms

Filtered
48 candidates to 26 candidates (45.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New39948
Fresh000
Picked101
Done000
Total40949

Merged error: 2.9b

Counts
49 → 9

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
18.4b
(/ (* z z) (* t t))

rewrite34.0ms

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*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv
unswap-sqr
add-log-exp
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:
17.0ms
(* (/ x y) (/ x y))
11.0ms
(/ (* z z) (* t t))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (/ x y) (/ x y))
9.0ms
(/ (* z z) (* t t))

simplify90.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0482529
12387434
25001394

prune211.0ms

Filtered
94 candidates to 57 candidates (39.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh268
Picked101
Done000
Total9013103

Merged error: 0.1b

Counts
103 → 13

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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:
16.0ms
(* (/ z t) (/ z t))
16.0ms
(* (/ x y) (/ x y))

series16.0ms

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

simplify130.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (114.0ms)

IterNodesCost
0668810
13378698
25002664

prune381.0ms

Filtered
140 candidates to 89 candidates (36.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New13010140
Fresh7512
Picked101
Done000
Total13815153

Merged error: 0.0b

Counts
153 → 15

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
23.0b
(cbrt (* (/ x y) (/ x y)))
23.0b
(cbrt (* (/ x y) (/ x y)))
23.0b
(cbrt (* (/ x y) (/ x y)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
pow1/3
add-cube-cbrt *-un-lft-identity
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
10.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
8.0ms
(cbrt (* (/ x y) (/ x y)))
8.0ms
(cbrt (* (/ x y) (/ x y)))
9.0ms
(cbrt (* (/ x y) (/ x y)))

series138.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
36.0ms
(cbrt (* (/ x y) (/ x y)))
32.0ms
(cbrt (* (/ x y) (/ x y)))
33.0ms
(cbrt (* (/ x y) (/ x y)))

simplify108.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0212757
1658686
22655611
35001561

prune137.0ms

Filtered
97 candidates to 64 candidates (34.0%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New96197
Fresh01414
Picked011
Done000
Total9616112

Merged error: 0.0b

Counts
112 → 16

regimes2.3s

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01418
11418

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.3s15427×body80valid

Profiling

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