Details

Time bar (total: 4.7s)

sample41.0ms

Algorithm
intervals
Results
16.0ms353×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune5.0ms

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: 6.3b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
6.0b
(/ (- (* 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))
6.0ms
(/ (- (* x y) (* z t)) a)

series101.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(- (* x y) (* z t))
57.0ms
(/ (- (* x y) (* z t)) a)

simplify79.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204313
1717288
22686288
35001288

prune157.0ms

Filtered
48 candidates to 37 candidates (22.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New371148
Fresh000
Picked011
Done000
Total371249

Merged error: 5.9b

Counts
49 → 12

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
6.0b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite13.0ms

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))

series101.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
56.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify38.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0278390
11203340
25001322

prune160.0ms

Filtered
58 candidates to 38 candidates (34.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New55358
Fresh2810
Picked011
Done011
Total571370

Merged error: 5.9b

Counts
70 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.5b
(- (* x y) (* z t))
0.5b
(/ 1 (/ a (- (* x y) (* z t))))
5.9b
(/ 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))
7.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series182.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (* x y) (* z t))
99.0ms
(/ 1 (/ a (- (* x y) (* z t))))
38.0ms
(/ a (- (* x y) (* z t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04281233
118721114
250011024

prune324.0ms

Filtered
134 candidates to 71 candidates (47.0%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New1313134
Fresh2810
Picked011
Done022
Total13314147

Merged error: 5.9b

Counts
147 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
1.7b
(* (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (/ 1 (cbrt a)))
4.5b
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
47×add-sqr-sqrt
37×times-frac
27×*-un-lft-identity
23×add-cube-cbrt
22×associate-*r*
21×add-cbrt-cube
19×cbrt-prod
17×prod-exp
16×div-exp
10×unswap-sqr
cbrt-undiv cbrt-unprod
associate-*l*
pow1
add-log-exp
rec-exp 1-exp div-inv associate-/l*
pow1/3 associate-/l/
frac-times flip3-- frac-2neg div-sub associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* un-div-inv *-commutative flip--
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
15.0ms
(* (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (/ 1 (cbrt a)))
11.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

series796.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt a)
200.0ms
(cbrt a)
105.0ms
(* (/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a))) (/ 1 (cbrt a)))
287.0ms
(/ (- (* x y) (* z t)) (* (cbrt a) (cbrt a)))

simplify84.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06031325
131991062
25001976

prune434.0ms

Filtered
128 candidates to 87 candidates (32.0%)
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1262128
Fresh1910
Picked011
Done033
Total12715142

Merged error: 4.6b

Counts
142 → 15

regimes1.1s

Accuracy

0% (2.8b remaining)

Error of 7.4b against oracle of 4.7b and baseline of 7.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample917.0ms

Algorithm
intervals
Results
353.0ms11221×body80valid

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