Details

Time bar (total: 1.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms310×body80valid
1.0ms14×body1280valid
1.0ms13×body640valid
0.0ms5×body320valid
0.0ms2×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01009
11009

prune10.0ms

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: 0.2b

Counts
2 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×add-sqr-sqrt
7×sub-neg
6×add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×flip3-- flip--
2×*-commutative
1×diff-log unswap-sqr
Counts
3 → 64
Calls
3 calls:
2.0ms
(- 2.0 (* 3.0 x))
6.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))
5.0ms
(* x (- 2.0 (* 3.0 x)))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* 3.0 x))
6.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))
6.0ms
(* x (- 2.0 (* 3.0 x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04977658
14977658

prune96.0ms

Filtered
46 candidates to 73 candidates (-58.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New65873
Fresh101
Picked011
Done000
Total66975

Merged error: 0.1b

Counts
75 → 9

localize4.0ms

Local error

Found 1 expressions with local error:

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

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×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* x (- 6.0 (* x 9.0)))

series6.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04977236
14977236

prune46.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New24327
Fresh347
Picked011
Done011
Total27936

Merged error: 0.0b

Counts
36 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.2b
(* (- 2.0 (* x 3.0)) (cbrt 3.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* x 3.0)) (cbrt 3.0))))
0.3b
(* x (* (- 2.0 (* x 3.0)) (cbrt 3.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
22×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
12×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×associate-*l*
6×associate-*r/ associate-*l/ add-log-exp
4×cbrt-prod flip3-- flip--
3×*-commutative
2×unswap-sqr
1×sub-neg diff-log
Counts
4 → 86
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
6.0ms
(* (- 2.0 (* x 3.0)) (cbrt 3.0))
12.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* x 3.0)) (cbrt 3.0))))
7.0ms
(* x (* (- 2.0 (* x 3.0)) (cbrt 3.0)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- 2.0 (* x 3.0))
7.0ms
(* (- 2.0 (* x 3.0)) (cbrt 3.0))
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* x 3.0)) (cbrt 3.0))))
13.0ms
(* x (* (- 2.0 (* x 3.0)) (cbrt 3.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05022968

prune136.0ms

Filtered
55 candidates to 98 candidates (-78.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New94498
Fresh426
Picked101
Done022
Total998107

Merged error: 0b

Counts
107 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
0.3b
(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
0.7b
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1 add-exp-log
34×pow-prod-down prod-exp cbrt-unprod
31×add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
14×cbrt-prod associate-*l/
12×add-cube-cbrt *-un-lft-identity
8×associate-*l*
7×sqrt-prod
6×associate-*r/
4×flip3-- *-commutative flip-- add-log-exp
3×unswap-sqr
Counts
4 → 113
Calls
4 calls:
7.0ms
(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))
16.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
10.0ms
(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
9.0ms
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))
69.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
52.0ms
(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
46.0ms
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051761554

prune192.0ms

Filtered
69 candidates to 125 candidates (-81.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1241125
Fresh235
Picked011
Done022
Total1267133

Merged error: 0b

Counts
133 → 7

regimes227.0ms

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
087
187

end0.0ms

sample473.0ms

Algorithm
intervals
Results
233.0ms9838×body80valid
39.0ms375×body1280valid
22.0ms266×body640valid
9.0ms133×body320valid
3.0ms77×body160valid

Profiling

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