Details

Time bar (total: 10.6s)

sample3.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.708984%

Guaranteed chance to sample good point: 8.072529%

Results
12.0ms256×body80valid
7.0ms147×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.1b
(* (* a z) b)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*l* *-commutative
Counts
4 → 56
Calls
4 calls:
5.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
8.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.0ms
(* (* a z) b)

series55.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(+ x (* y z))
25.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms
(* (* a z) b)

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0335378
11670347
25002342

prune86.0ms

Filtered
51 candidates to 68 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh101
Picked011
Done000
Total65570

Merged error: 0.0b

Counts
70 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
4.0b
(* a (* z b))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×+-commutative flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
2×associate-+l+
1×associate-*r* *-commutative
Counts
4 → 56
Calls
4 calls:
5.0ms
(+ (+ x (* y z)) (* t a))
2.0ms
(+ x (* y z))
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
7.0ms
(* a (* z b))

series52.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(+ x (* y z))
26.0ms
(+ (+ (+ x (* y z)) (* t a)) (* a (* z b)))
6.0ms
(* a (* z b))

simplify45.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0323377
11452346
25001345

prune74.0ms

Filtered
49 candidates to 68 candidates (-38.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done011
Total68573

Merged error: 0.0b

Counts
73 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
5.1b
(* (* a z) b)
5.1b
(* (* a z) b)
5.1b
(* (* a z) b)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
9×associate-*r* pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod associate-*l* *-commutative
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 67
Calls
4 calls:
6.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
5.0ms
(* (* a z) b)
5.0ms
(* (* a z) b)
5.0ms
(* (* a z) b)

series78.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(cbrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)

simplify40.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0282441
11121394
25002382

prune94.0ms

Filtered
53 candidates to 79 candidates (-49.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New76379
Fresh112
Picked101
Done022
Total78684

Merged error: 0b

Counts
84 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.4b
(* (* a z) (* (cbrt b) (cbrt b)))
5.1b
(* (* a z) b)
5.1b
(* (* a z) b)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1 add-exp-log
31×add-cbrt-cube
27×pow-prod-down prod-exp cbrt-unprod
13×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* *-commutative add-log-exp
3×cbrt-prod
Counts
4 → 88
Calls
4 calls:
12.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
9.0ms
(* (* a z) (* (cbrt b) (cbrt b)))
5.0ms
(* (* a z) b)
5.0ms
(* (* a z) b)

series48.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
27.0ms
(* (* a z) (* (cbrt b) (cbrt b)))
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0320611
11657457
25001364

prune76.0ms

Filtered
56 candidates to 100 candidates (-78.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh033
Picked011
Done022
Total1006106

Merged error: 0b

Counts
106 → 6

regimes604.0ms

Accuracy

86.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch78.0ms

Steps
ItersRangePoint
7
1.0005457718196107e-87
3.0087510221905072e-86
8.214623634859216e-87
5
-3.7180407824002314e-38
-1.7950464069983278e-38
-3.6793073969307295e-38

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03514
13514

end0.0ms

sample5.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 1.708984%

Guaranteed chance to sample good point: 8.072529%

Results
385.0ms8000×body80valid
171.0ms3645×body80invalid

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