Details

Time bar (total: 1.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms308×body80valid
1.0ms11×body1280valid
1.0ms8×body640valid
0.0ms5×body160valid
0.0ms2×body320valid

simplify11.0ms

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

localize5.0ms

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
(* 3.0 (- 2.0 (* x 3.0)))

rewrite19.0ms

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))) x)
9.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series15.0ms

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

simplify38.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0219323
11062277
25002274

prune99.0ms

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

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New541165
Fresh000
Picked101
Done000
Total551166

Merged error: 0.0b

Counts
66 → 11

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* (- 6.0 (* 9.0 x)) 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×associate-*r* associate-*l*
2×flip3-- associate-*l/ flip--
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
2.0ms
(- 6.0 (* 9.0 x))
5.0ms
(* (- 6.0 (* 9.0 x)) x)

series9.0ms

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

simplify70.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0135174
1502155
22854152
35003152

prune58.0ms

Filtered
25 candidates to 38 candidates (-52.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New33538
Fresh7310
Picked101
Done000
Total41849

Merged error: 0.0b

Counts
49 → 8

localize5.0ms

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

series18.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0207312
1816266
25001260

prune70.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh257
Picked011
Done000
Total62769

Merged error: 0.0b

Counts
69 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
0.3b
(* (* 9.0 x) (* 9.0 x))
0.4b
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
26×add-sqr-sqrt
25×times-frac
22×add-exp-log add-cbrt-cube
21×add-cube-cbrt *-un-lft-identity
19×associate-*l*
18×pow-prod-down
10×prod-exp cbrt-unprod
7×difference-of-squares
4×associate-*r* associate-/r/ pow-sqr pow-prod-up associate-/l*
3×associate-/r* add-log-exp
2×cbrt-undiv flip3-+ pow-plus div-exp *-commutative flip-+ div-inv associate-/l/ unswap-sqr
1×pow2 flip3-- frac-2neg div-sub swap-sqr associate-*l/ clear-num flip--
Counts
3 → 107
Calls
3 calls:
9.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
6.0ms
(* (* 9.0 x) (* 9.0 x))
7.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(* (/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x))) x)
3.0ms
(* (* 9.0 x) (* 9.0 x))
12.0ms
(/ (- (* 6.0 6.0) (* (* 9.0 x) (* 9.0 x))) (+ 6.0 (* 9.0 x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0428998
12052877
25002877

prune142.0ms

Filtered
74 candidates to 116 candidates (-56.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh145
Picked011
Done011
Total1167123

Merged error: 0.0b

Counts
123 → 7

regimes37.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample447.0ms

Algorithm
intervals
Results
224.0ms9842×body80valid
36.0ms356×body1280valid
20.0ms249×body640valid
7.0ms124×body320valid
6.0ms85×body160valid

Profiling

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