Details

Time bar (total: 1.4s)

analyze3.0ms

Algorithm
search

sample12.0ms

Algorithm
intervals
Results
5.0ms232×body80valid
1.0ms7×body1280valid
1.0ms9×body320valid
1.0ms6×body640valid
0.0ms2×body160valid
0.0ms1×body80invalid

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

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))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 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
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0219323
11062277
25002274

prune287.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New57865
Fresh000
Picked101
Done000
Total58866

Merged error: 0.0b

Counts
66 → 8

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* x (- 6.0 (* 9.0 x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(- 6.0 (* 9.0 x))
8.0ms
(* x (- 6.0 (* 9.0 x)))

series18.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- 6.0 (* 9.0 x))
11.0ms
(* x (- 6.0 (* 9.0 x)))

simplify118.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0140190
1583168
23082168
35002168

prune59.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh257
Picked011
Done000
Total42850

Merged error: 0.0b

Counts
50 → 8

localize6.0ms

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))

simplify36.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0207312
1816266
25001260

prune74.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh066
Picked011
Done011
Total60969

Merged error: 0.0b

Counts
69 → 9

localize9.0ms

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) (* (- 2.0 (* x 3.0)) x))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))

rewrite31.0ms

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))
5.0ms
(* (- 2.0 (* x 3.0)) x)
7.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))
13.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* (- 2.0 (* x 3.0)) x)
13.0ms
(* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x))
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (- 2.0 (* x 3.0)) x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0328742
11360566
25002516

prune121.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New96197
Fresh156
Picked101
Done022
Total988106

Merged error: 0b

Counts
106 → 8

regimes42.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

analyze3.0ms

Algorithm
search

sample323.0ms

Algorithm
intervals
Results
164.0ms7178×body80valid
34.0ms305×body1280valid
23.0ms274×body640valid
13.0ms163×body320valid
3.0ms80×body160valid
0.0ms4×body80invalid

Profiling

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