Details

Time bar (total: 1.3s)

sample17.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
5.0ms230×body80valid
2.0ms84×body80invalid
1.0ms11×body1280valid
1.0ms9×body640valid
0.0ms5×body160valid
0.0ms1×body320valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1324
2754
31414
41704
51704

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

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)

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-*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)))
6.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series15.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
6.0ms
(* (* 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

prune90.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9

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)))

rewrite8.0ms

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:
2.0ms
(- 6.0 (* 9.0 x))
5.0ms
(* x (- 6.0 (* 9.0 x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 6.0 (* 9.0 x))
6.0ms
(* x (- 6.0 (* 9.0 x)))

simplify92.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0140190
1583168
23082168
35002168

prune61.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New39342
Fresh358
Picked101
Done000
Total43851

Merged error: 0.0b

Counts
51 → 8

localize6.0ms

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)

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))
6.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
5.0ms
(* (- 2.0 (* x 3.0)) x)

series18.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
9.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
6.0ms
(* (- 2.0 (* x 3.0)) x)

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0207312
1816266
25001260

prune72.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh347
Picked011
Done000
Total63669

Merged error: 0.0b

Counts
69 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.1b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.4b
(* (* x 3.0) (* x 3.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-exp-log add-cbrt-cube
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×times-frac
4×cbrt-undiv associate-*r/ div-exp associate-/r/ pow-sqr pow-prod-up add-log-exp
3×associate-/r* *-commutative
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ pow-plus flip-- flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 frac-2neg swap-sqr associate-*l/ clear-num associate-/l* difference-of-squares
Counts
4 → 113
Calls
4 calls:
6.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
9.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
8.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
7.0ms
(* (* x 3.0) (* x 3.0))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
13.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
12.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
3.0ms
(* (* x 3.0) (* x 3.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
04781040
12585835
25001835

prune134.0ms

Filtered
72 candidates to 125 candidates (-73.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh044
Picked011
Done011
Total1256131

Merged error: 0.0b

Counts
131 → 6

regimes35.0ms

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
0104
1104

end0.0ms

sample481.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results
178.0ms7207×body80valid
65.0ms2603×body80invalid
33.0ms294×body1280valid
21.0ms257×body640valid
10.0ms154×body320valid
4.0ms88×body160valid

Profiling

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