Details

Time bar (total: 19.2s)

sample6.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0.48721%

Space saved by search: 0.48721%

Guaranteed chance to sample good point: 0%

Results
29.0ms269×body80invalid
21.0ms256×body80valid

simplify153.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 4.4b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
2.2b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b
(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
5.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 18.0) y)
4.0ms
(* (* j 27.0) k)
25.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0406472
12141393
25001393

prune186.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New84993
Fresh000
Picked101
Done000
Total85994

Merged error: 1.7b

Counts
94 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.2b
(* (* x 18.0) y)
2.2b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b
(* (* (* x 18.0) y) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
8.0ms
(* (* (* x 18.0) y) z)

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* j (* 27.0 k))
3.0ms
(* (* x 18.0) y)
26.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0398471
12030392
25001392

prune159.0ms

Filtered
53 candidates to 93 candidates (-75.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done000
Total939102

Merged error: 1.7b

Counts
102 → 9

localize29.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* (* x 18.0) y) z)
16.1b
(cbrt (* (* (* x 18.0) y) z))
16.1b
(cbrt (* (* (* x 18.0) y) z))
16.1b
(cbrt (* (* (* x 18.0) y) z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 48
Calls
4 calls:
7.0ms
(* (* (* x 18.0) y) z)
5.0ms
(cbrt (* (* (* x 18.0) y) z))
5.0ms
(cbrt (* (* (* x 18.0) y) z))
5.0ms
(cbrt (* (* (* x 18.0) y) z))

series83.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (* x 18.0) y) z)
27.0ms
(cbrt (* (* (* x 18.0) y) z))
25.0ms
(cbrt (* (* (* x 18.0) y) z))
25.0ms
(cbrt (* (* (* x 18.0) y) z))

simplify40.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0242392
11077337
25002316

prune195.0ms

Filtered
46 candidates to 60 candidates (-30.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh077
Picked011
Done011
Total60969

Merged error: 1.7b

Counts
69 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

4.9b
(* (* (* x 18.0) y) z)
9.1b
(cbrt (* (* j 27.0) k))
9.1b
(cbrt (* (* j 27.0) k))
9.1b
(cbrt (* (* j 27.0) k))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 48
Calls
4 calls:
7.0ms
(* (* (* x 18.0) y) z)
4.0ms
(cbrt (* (* j 27.0) k))
4.0ms
(cbrt (* (* j 27.0) k))
4.0ms
(cbrt (* (* j 27.0) k))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* (* x 18.0) y) z)
17.0ms
(cbrt (* (* j 27.0) k))
17.0ms
(cbrt (* (* j 27.0) k))
17.0ms
(cbrt (* (* j 27.0) k))

simplify41.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0235335
11003286
25001262

prune135.0ms

Filtered
44 candidates to 60 candidates (-36.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New58260
Fresh156
Picked011
Done022
Total591069

Merged error: 1.7b

Counts
69 → 10

regimes2.6s

Accuracy

27.8% (2.2b remaining)

Error of 4.2b against oracle of 1.9b and baseline of 5.0b

bsearch85.0ms

Steps
ItersRangePoint
8
-9.827365716825662e-32
-3.027059073034834e-35
-9.71435373251083e-32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06028
16028

end0.0ms

sample8.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0.48721%

Space saved by search: 0.48721%

Guaranteed chance to sample good point: 0%

Results
759.0ms8344×body80invalid
729.0ms8000×body80valid

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