Details

Time bar (total: 3.3s)

sample27.0ms

Algorithm
intervals
Results
12.0ms373×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
7.0b
(/ (- (* 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))
5.0ms
(/ (- (* x y) (* z t)) a)

series91.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x y) (* z t))
52.0ms
(/ (- (* x y) (* z t)) a)

simplify81.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0204313
1717288
22686288
35001288

prune125.0ms

Filtered
48 candidates to 37 candidates (77.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New361248
Fresh000
Picked101
Done000
Total371249

Merged error: 7.1b

Counts
49 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
5.4b
(/ (* t z) a)
6.1b
(/ (* x y) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
7.0ms
(- (/ (* x y) a) (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series109.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- (/ (* x y) a) (/ (* t z) a))
19.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

simplify41.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0275315
11238283
25001283

prune142.0ms

Filtered
68 candidates to 46 candidates (67.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New63568
Fresh4711
Picked101
Done000
Total681280

Merged error: 0.7b

Counts
80 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* t z) a))
5.1b
(/ x (/ a y))
5.4b
(/ (* t z) a)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp add-log-exp
associate-/l*
pow1 difference-of-squares
frac-2neg clear-num
sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
20.0ms
(- (/ x (/ a y)) (/ (* t z) a))
5.0ms
(/ x (/ a y))
4.0ms
(/ (* t z) a)

series92.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (/ x (/ a y)) (/ (* t z) a))
23.0ms
(/ x (/ a y))
19.0ms
(/ (* t z) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0500706
12110670
25002669

prune243.0ms

Filtered
117 candidates to 91 candidates (77.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1143117
Fresh4711
Picked101
Done000
Total11910129

Merged error: 0.0b

Counts
129 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.1b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.1b
(/ x (/ a y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
prod-exp cbrt-unprod
associate-*l* div-inv
pow1 unswap-sqr
add-log-exp
associate-/l*
pow1/3
frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.0ms
(/ x (/ a y))

series427.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt a)
175.0ms
(cbrt a)
50.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
20.0ms
(/ x (/ a y))

simplify84.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07341133
13670951
25001906

prune381.0ms

Filtered
163 candidates to 128 candidates (78.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh099
Picked101
Done000
Total16211173

Merged error: 0b

Counts
173 → 11

regimes545.0ms

Accuracy

80.1% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13121

end0.0ms

sample693.0ms

Algorithm
intervals
Results
369.0ms11118×body80valid

Profiling

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