Details

Time bar (total: 4.3s)

analyze858.0ms

Algorithm
search

sample33.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms99×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.2b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
15.0ms
(/ (- (* x y) (* z t)) a)

simplify81.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204313
1717288
22686288
35001288

prune101.0ms

Filtered
37 candidates to 48 candidates (-29.7%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New361248
Fresh000
Picked011
Done000
Total361349

Merged error: 5.2b

Counts
49 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
5.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
9.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series27.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
17.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0278390
11203340
25001322

prune87.0ms

Filtered
36 candidates to 58 candidates (-61.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh11011
Picked101
Done011
Total591271

Merged error: 5.2b

Counts
71 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.6b
(/ 1 (/ a (- (* x y) (* z t))))
5.1b
(/ a (- (* x y) (* z t)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series49.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x y) (* z t))
21.0ms
(/ 1 (/ a (- (* x y) (* z t))))
18.0ms
(/ a (- (* x y) (* z t)))

simplify52.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04281233
118721114
250011024

prune121.0ms

Filtered
70 candidates to 134 candidates (-91.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1322134
Fresh1910
Picked101
Done011
Total13412146

Merged error: 5.2b

Counts
146 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) (* z t))
0.5b
(/ 1 (- (* x y) (* z t)))
0.6b
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
4.7b
(* a (/ 1 (- (* x y) (* z t))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
29×add-sqr-sqrt
23×*-un-lft-identity times-frac
22×add-cube-cbrt
20×div-exp add-cbrt-cube
16×prod-exp
15×associate-*r*
10×pow1 rec-exp 1-exp
cbrt-undiv associate-/r/ associate-/l* add-log-exp
associate-/r* cbrt-unprod
flip3-- pow-flip associate-*l* flip-- div-inv unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv inv-pow
sub-neg diff-log *-commutative
Counts
4 → 123
Calls
4 calls:
3.0ms
(- (* x y) (* z t))
7.0ms
(/ 1 (- (* x y) (* z t)))
8.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
9.0ms
(* a (/ 1 (- (* x y) (* z t))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(- (* x y) (* z t))
12.0ms
(/ 1 (- (* x y) (* z t)))
21.0ms
(/ 1 (* a (/ 1 (- (* x y) (* z t)))))
15.0ms
(* a (/ 1 (- (* x y) (* z t))))

simplify48.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0396880
11756728
25002687

prune84.0ms

Filtered
69 candidates to 135 candidates (-95.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1341135
Fresh01010
Picked011
Done011
Total13413147

Merged error: 5.2b

Counts
147 → 13

regimes912.0ms

Accuracy

0% (0.3b remaining)

Error of 7.7b against oracle of 7.4b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

analyze844.0ms

Algorithm
search

sample714.0ms

Algorithm
intervals
Results
283.0ms8000×body80valid
102.0ms2917×body80invalid

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