Details

Time bar (total: 1.6s)

sample19.0ms

Algorithm
intervals
Results
8.0ms331×body80valid
1.0ms10×body1280valid
1.0ms12×body640valid
0.0ms7×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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt
6×sub-neg associate-*r/ associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp
1×unswap-sqr
Counts
2 → 52
Calls
2 calls:
5.0ms
(* x (- 2.0 (* 3.0 x)))
7.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

series12.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* x (- 2.0 (* 3.0 x)))
6.0ms
(* 3.0 (* x (- 2.0 (* 3.0 x))))

simplify45.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04966543
14966543

prune70.0ms

Filtered
31 candidates to 58 candidates (-87.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50858
Fresh101
Picked011
Done000
Total51960

Merged error: 0.0b

Counts
60 → 9

localize4.0ms

Local error

Found 2 expressions with local error:

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

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

series11.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 6.0 (* x 9.0))
8.0ms
(* x (- 6.0 (* x 9.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05346353

prune52.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New39342
Fresh527
Picked011
Done011
Total44751

Merged error: 0.0b

Counts
51 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
21×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×associate-*r/ associate-*l/
4×cbrt-prod
3×flip3-- *-commutative flip-- add-log-exp
2×unswap-sqr
Counts
3 → 74
Calls
3 calls:
6.0ms
(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
13.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
7.0ms
(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(* (- 2.0 (* 3.0 x)) (cbrt 3.0))
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0))))
10.0ms
(* x (* (- 2.0 (* 3.0 x)) (cbrt 3.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04971851
14971851

prune116.0ms

Filtered
50 candidates to 83 candidates (-66.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh224
Picked011
Done022
Total84690

Merged error: 0b

Counts
90 → 6

localize12.0ms

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))))
0.8b
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

rewrite49.0ms

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)))
17.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
11.0ms
(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
10.0ms
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

series200.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0)))
68.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))))
51.0ms
(* x (* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0))))
45.0ms
(* (* (- 2.0 (* x 3.0)) (cbrt (sqrt 3.0))) (cbrt (sqrt 3.0)))

simplify59.0ms

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

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1241125
Fresh112
Picked011
Done033
Total1256131

Merged error: 0b

Counts
131 → 6

regimes37.0ms

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

sample491.0ms

Algorithm
intervals
Results
245.0ms9858×body80valid
37.0ms335×body1280valid
27.0ms306×body640valid
7.0ms111×body320valid
3.0ms65×body160valid

Profiling

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