Details

Time bar (total: 6.2s)

sample17.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify178.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1199
2359
3659
4899
51039
61459
72359
82659
done2659

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.253 (* x 0.12))
0.1b
(* x (+ 0.253 (* x 0.12)))

rewrite9.0ms

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-*r/ flip-+
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ 0.253 (* x 0.12))
5.0ms
(* x (+ 0.253 (* x 0.12)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 0.253 (* x 0.12))
6.0ms
(* x (+ 0.253 (* x 0.12)))

simplify2.0s

Counts
39 → 39
Iterations

Useful iterations: 3 (278.0ms)

IterNodesCost
060377
1163363
2489335
31568325
done5000325

prune67.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh000
Picked101
Done000
Total33740

Merged error: 0.0b

Counts
40 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
0.1b
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
0.2b
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
0.4b
(* (* x 0.12) (* x 0.12))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
45×pow1
27×add-sqr-sqrt
25×times-frac
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
19×associate-*r*
18×pow-prod-down
10×prod-exp cbrt-unprod
8×difference-of-squares
6×add-log-exp
4×flip3-- associate-*l* associate-/r/ pow-sqr pow-prod-up flip-- associate-/l*
3×associate-/r*
2×cbrt-undiv pow-plus div-exp *-commutative div-inv associate-/l/ unswap-sqr
1×pow2 sub-neg frac-2neg diff-log div-sub associate-*r/ swap-sqr clear-num
Counts
4 → 120
Calls
4 calls:
4.0ms
(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
13.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
8.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
7.0ms
(* (* x 0.12) (* x 0.12))

series31.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* 0.253 0.253) (* (* x 0.12) (* x 0.12)))
13.0ms
(* x (/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12))))
10.0ms
(/ (- (* 0.253 0.253) (* (* x 0.12) (* x 0.12))) (- 0.253 (* x 0.12)))
3.0ms
(* (* x 0.12) (* x 0.12))

simplify780.0ms

Counts
132 → 132
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
01612472
14332261
215741597
done50001577

prune192.0ms

Filtered
83 candidates to 132 candidates (-59.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1302132
Fresh156
Picked011
Done000
Total1318139

Merged error: 0b

Counts
139 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
0.2b
(* x (* 0.12 (* x 0.12)))
0.2b
(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
0.2b
(* 0.12 (* x 0.12))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×pow1
19×times-frac
17×associate-*r*
11×prod-exp cbrt-unprod
10×pow-prod-down
9×associate-*l*
4×associate-/r/ add-log-exp
3×flip3-- associate-/r* *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/ unswap-sqr
1×frac-2neg div-sub associate-*r/ clear-num
Counts
4 → 105
Calls
4 calls:
10.0ms
(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
7.0ms
(* x (* 0.12 (* x 0.12)))
8.0ms
(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
5.0ms
(* 0.12 (* x 0.12))

series28.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* x (/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12))))
3.0ms
(* x (* 0.12 (* x 0.12)))
10.0ms
(/ (- (* 0.253 0.253) (* x (* 0.12 (* x 0.12)))) (- 0.253 (* x 0.12)))
2.0ms
(* 0.12 (* x 0.12))

simplify800.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
01562168
14162111
215681837
done50001837

prune186.0ms

Filtered
82 candidates to 117 candidates (-42.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1152117
Fresh426
Picked011
Done011
Total1196125

Merged error: 0b

Counts
125 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow x 2)
0.0b
(+ (* 0.253 x) (* 0.12 (pow x 2)))
0.2b
(* 0.12 (pow x 2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×add-exp-log
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×unpow-prod-down
5×add-cbrt-cube add-log-exp
4×pow1 unswap-sqr
3×pow-unpow associate-*l* prod-exp unpow2 sqr-pow
2×pow-to-exp pow-exp
1×+-commutative pow-pow flip3-+ sum-log *-commutative cbrt-unprod flip-+
Counts
3 → 56
Calls
3 calls:
2.0ms
(pow x 2)
4.0ms
(+ (* 0.253 x) (* 0.12 (pow x 2)))
7.0ms
(* 0.12 (pow x 2))

series13.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(pow x 2)
7.0ms
(+ (* 0.253 x) (* 0.12 (pow x 2)))
3.0ms
(* 0.12 (pow x 2))

simplify1.2s

Counts
65 → 65
Iterations

Useful iterations: 3 (259.0ms)

IterNodesCost
082549
1207483
2525428
31520394
done5001394

prune70.0ms

Filtered
38 candidates to 65 candidates (-71.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh123
Picked011
Done112
Total66571

Merged error: 0b

Counts
71 → 5

regimes70.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample461.0ms

Algorithm
intervals
Results
275.0ms10696×body80valid

Profiling

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