Details

Time bar (total: 1.3s)

sample19.0ms

Algorithm
intervals
Results
8.0ms318×body80valid
1.0ms9×body1280valid
1.0ms10×body640valid
0.0ms6×body160valid
0.0ms4×body320valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01009
11009

prune7.0ms

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 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 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-*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)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
7.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04969573
14969573

prune109.0ms

Filtered
44 candidates to 65 candidates (-47.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New541165
Fresh011
Picked101
Done000
Total551267

Merged error: 0.0b

Counts
67 → 12

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- 6.0 (* x 9.0))
6.0ms
(* x (- 6.0 (* x 9.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05346353

prune67.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New36642
Fresh9211
Picked101
Done000
Total46854

Merged error: 0.0b

Counts
54 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 6.0) (* x (* x (neg 9.0))))
0.2b
(* x (* x (neg 9.0)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-neg-out
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ (* x 6.0) (* x (* x (neg 9.0))))
6.0ms
(* x (* x (neg 9.0)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ (* x 6.0) (* x (* x (neg 9.0))))
3.0ms
(* x (* x (neg 9.0)))

simplify32.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05152294

prune59.0ms

Filtered
25 candidates to 39 candidates (-56.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New38139
Fresh077
Picked011
Done000
Total38947

Merged error: 0.0b

Counts
47 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 6.0 (* x 9.0))
0.1b
(* x (/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0))))
0.2b
(/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0)))
0.2b
(* x (* x (* 9.0 9.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
19×times-frac
16×associate-*r*
15×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down
6×associate-*l* add-log-exp
4×associate-/r/
3×flip3-+ associate-/r* flip-+ associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg div-sub associate-*r/ clear-num sum-log flip--
Counts
4 → 98
Calls
4 calls:
6.0ms
(+ 6.0 (* x 9.0))
10.0ms
(* x (/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0))))
8.0ms
(/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0)))
8.0ms
(* x (* x (* 9.0 9.0)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ 6.0 (* x 9.0))
13.0ms
(* x (/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0))))
10.0ms
(/ (- (* 6.0 6.0) (* x (* x (* 9.0 9.0)))) (+ 6.0 (* x 9.0)))
3.0ms
(* x (* x (* 9.0 9.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
050201451

prune156.0ms

Filtered
77 candidates to 110 candidates (-42.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1091110
Fresh167
Picked011
Done011
Total1109119

Merged error: 0b

Counts
119 → 9

regimes46.0ms

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
02310
12310

end0.0ms

sample521.0ms

Algorithm
intervals
Results
255.0ms9845×body80valid
40.0ms355×body1280valid
26.0ms290×body640valid
10.0ms149×body320valid
4.0ms75×body160valid

Profiling

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