Details

Time bar (total: 1.1s)

sample16.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.128129%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
5.0ms222×body80valid
1.0ms17×body640valid
1.0ms7×body1280valid
0.0ms7×body320valid
0.0ms3×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2754
31414
41704
51704

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b
(* 3.0 (- 2.0 (* x 3.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 56
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series15.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* x 3.0))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0219323
11062277
25002274

prune87.0ms

Filtered
42 candidates to 65 candidates (-54.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New58765
Fresh000
Picked101
Done000
Total59766

Merged error: 0.0b

Counts
66 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (- 6.0 (* 9.0 x)) x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*l/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 20
Calls
1 calls:
5.0ms
(* (- 6.0 (* 9.0 x)) x)

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (- 6.0 (* 9.0 x)) x)

simplify69.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0113114
1465100
2277797
3500297

prune41.0ms

Filtered
15 candidates to 23 candidates (-53.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20323
Fresh336
Picked011
Done000
Total23730

Merged error: 0b

Counts
30 → 7

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (- 2.0 (* x 3.0)) x)
0.1b
(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- flip--
2×associate-*r/ *-commutative
1×sub-neg diff-log unswap-sqr
Counts
3 → 52
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* (- 2.0 (* x 3.0)) x)
6.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* (- 2.0 (* x 3.0)) x)
7.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify35.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0207312
1816266
25001260

prune70.0ms

Filtered
39 candidates to 61 candidates (-56.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New61061
Fresh055
Picked011
Done011
Total61768

Merged error: 0b

Counts
68 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 6.0 (* 9.0 x))
0.0b
(* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x)
0.3b
(* (* 9.0 x) (* 9.0 x))
6.5b
(/ (* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x) (+ 6.0 (* 9.0 x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
23×add-exp-log add-cbrt-cube
18×pow-prod-down
10×add-sqr-sqrt prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×associate-*l*
4×associate-*r* associate-*l/ pow-sqr pow-prod-up
3×times-frac associate-/r*
2×cbrt-undiv flip3-- flip3-+ pow-plus div-exp associate-/r/ *-commutative flip-- flip-+ associate-/l/
1×+-commutative pow2 frac-2neg swap-sqr clear-num sum-log div-inv associate-/l* difference-of-squares unswap-sqr
Counts
4 → 91
Calls
4 calls:
2.0ms
(+ 6.0 (* 9.0 x))
6.0ms
(* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x)
6.0ms
(* (* 9.0 x) (* 9.0 x))
8.0ms
(/ (* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x) (+ 6.0 (* 9.0 x)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 6.0 (* 9.0 x))
8.0ms
(* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x)
3.0ms
(* (* 9.0 x) (* 9.0 x))
12.0ms
(/ (* (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) x) (+ 6.0 (* 9.0 x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0378666
12039559
25001559

prune106.0ms

Filtered
60 candidates to 103 candidates (-71.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh134
Picked011
Done022
Total1037110

Merged error: 0b

Counts
110 → 7

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample333.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 25.128129%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results
171.0ms7143×body80valid
35.0ms313×body1280valid
25.0ms304×body640valid
10.0ms166×body320valid
3.0ms74×body160valid
0.0ms1×body80invalid

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