Details

Time bar (total: 9.7s)

sample3.5s

Algorithm
intervals
sampling

Space saved by range analysis: 1.996595%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
17.0ms256×body80valid
5.0ms112×body80invalid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune13.0ms

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 2 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.2b
(* (* a z) b)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-log-exp
7×pow1 add-exp-log add-cbrt-cube
6×sum-log
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative associate-+l+ flip3-+ associate-*l* *-commutative flip-+
Counts
2 → 32
Calls
2 calls:
7.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
4.0ms
(* (* a z) b)

series32.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

simplify34.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0213236
11068205
25002204

prune49.0ms

Filtered
26 candidates to 38 candidates (-46.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36238
Fresh011
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

5.2b
(* (* a z) b)
16.2b
(cbrt (* (* a z) b))
16.2b
(cbrt (* (* a z) b))
16.2b
(cbrt (* (* a z) b))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r* pow-prod-down prod-exp cbrt-unprod
1×associate-*l* *-commutative
Counts
4 → 45
Calls
4 calls:
4.0ms
(* (* a z) b)
3.0ms
(cbrt (* (* a z) b))
3.0ms
(cbrt (* (* a z) b))
3.0ms
(cbrt (* (* a z) b))

series66.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (* a z) b)
21.0ms
(cbrt (* (* a z) b))
20.0ms
(cbrt (* (* a z) b))
20.0ms
(cbrt (* (* a z) b))

simplify69.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0184304
1742268
23451247
35002217

prune66.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh022
Picked011
Done011
Total57461

Merged error: 0b

Counts
61 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
3.3b
(* a (+ t (* z b)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×sum-log
3×flip3-+ associate-*r* associate-*l* flip-+
2×+-commutative associate-*r/
1×distribute-rgt-in associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 46
Calls
3 calls:
2.0ms
(+ t (* z b))
5.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
5.0ms
(* a (+ t (* z b)))

series45.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ t (* z b))
27.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
12.0ms
(* a (+ t (* z b)))

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0273310
11168276
25002276

prune57.0ms

Filtered
41 candidates to 55 candidates (-34.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done022
Total55459

Merged error: 0b

Counts
59 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
0.3b
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
5.2b
(* (* a z) b)
5.2b
(* (* a z) b)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
28×add-sqr-sqrt
21×sqrt-prod
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×sqrt-div
12×associate-*r*
9×sqrt-pow1 pow1/2 pow-prod-down
8×swap-sqr associate-*l*
7×flip3-+ prod-exp cbrt-unprod flip-+
5×pow-prod-up
4×frac-times add-log-exp unswap-sqr
3×pow-sqr *-commutative
2×associate-*r/ associate-*l/
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 108
Calls
4 calls:
6.0ms
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
15.0ms
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
4.0ms
(* (* a z) b)
5.0ms
(* (* a z) b)

series203.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b)))
29.0ms
(* (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))) (sqrt (+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))))
6.0ms
(* (* a z) b)
6.0ms
(* (* a z) b)

simplify65.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
03431234
117861083
250021044

prune87.0ms

Filtered
69 candidates to 120 candidates (-73.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1200120
Fresh000
Picked011
Done033
Total1204124

Merged error: 0b

Counts
124 → 4

regimes586.0ms

Accuracy

86.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.1b

bsearch104.0ms

Steps
ItersRangePoint
9
3.2238278162028417e-09
0.05700583771496109
2.5147181188895334e-05
7
-1.1527190381792937e+28
-4.846376685826407e+25
-1.2908461193817674e+27

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03913
13913

end0.0ms

sample4.5s

Algorithm
intervals
sampling

Space saved by range analysis: 1.996595%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results
352.0ms8000×body80valid
154.0ms3575×body80invalid

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