Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.128129%

Guaranteed chance to sample good point: 99.991852%

sample13.0ms

Algorithm
intervals
Results
5.0ms227×body80valid
1.0ms14×body640valid
1.0ms9×body1280valid
0.0ms6×body320valid

simplify11.0ms

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: 0.2b

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)))

rewrite200.0ms

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)
190.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series14.0ms

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

simplify37.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0219323
11062277
25002274

prune89.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ (* 3.0 2.0) (* 3.0 (neg (* x 3.0)))) x)
0.3b
(* 3.0 (neg (* x 3.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×associate-*r*
7×associate-*l*
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in flip3-+ distribute-rgt-neg-out flip-+ distribute-lft-out
Counts
2 → 43
Calls
2 calls:
5.0ms
(* (+ (* 3.0 2.0) (* 3.0 (neg (* x 3.0)))) x)
5.0ms
(* 3.0 (neg (* x 3.0)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (+ (* 3.0 2.0) (* 3.0 (neg (* x 3.0)))) x)
3.0ms
(* 3.0 (neg (* x 3.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0214277
11125239
25002230

prune73.0ms

Filtered
37 candidates to 49 candidates (-32.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New47249
Fresh156
Picked011
Done000
Total48856

Merged error: 0.0b

Counts
56 → 8

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
(* (- 2.0 (* x 3.0)) x)

rewrite17.0ms

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))
8.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
5.0ms
(* (- 2.0 (* x 3.0)) x)

series16.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0207312
1816266
25001260

prune72.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59261
Fresh246
Picked011
Done011
Total61869

Merged error: 0.0b

Counts
69 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (- 2.0 (* x 3.0)) x)
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
0.4b
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
10×add-sqr-sqrt associate-*l*
8×add-cube-cbrt *-un-lft-identity
6×associate-*r/ associate-*l/ add-log-exp
5×associate-*r*
4×flip3-- flip--
3×cbrt-prod *-commutative
1×sub-neg diff-log unswap-sqr
Counts
4 → 85
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
7.0ms
(* (- 2.0 (* x 3.0)) x)
13.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
7.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* (- 2.0 (* x 3.0)) x)
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))
10.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0328742
11360566
25002516

prune124.0ms

Filtered
54 candidates to 97 candidates (-79.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New96197
Fresh145
Picked011
Done022
Total978105

Merged error: 0.0b

Counts
105 → 8

regimes42.0ms

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
0206
1256
2266
3266

end0.0ms

analyze3.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 25.128129%

Guaranteed chance to sample good point: 99.991852%

sample348.0ms

Algorithm
intervals
Results
181.0ms7139×body80valid
36.0ms339×body1280valid
25.0ms290×body640valid
10.0ms151×body320valid
4.0ms81×body160valid

Profiling

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