Details

Time bar (total: 8.4s)

sample17.0ms

Algorithm
intervals
Results
9.0ms347×body80valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1199
2369
3669
4919
51059
61479
72519
83529
94829
105989
118119
1210119
1313599
1416579
1521659
1626029
1733009
1838569
1948239
done50009

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))
6.0ms
(* 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)))

simplify1.5s

Counts
39 → 39
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
060377
1178370
2516334
31529326
43749326
done5001326

prune62.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New34539
Fresh000
Picked101
Done000
Total35540

Merged error: 0.0b

Counts
40 → 5

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))

rewrite14.0ms

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)))
6.0ms
(* 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))

simplify963.0ms

Counts
65 → 65
Iterations

Useful iterations: done (961.0ms)

IterNodesCost
082549
1212498
2664431
32165396
done5000394

prune92.0ms

Filtered
43 candidates to 65 candidates (-51.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New63265
Fresh134
Picked011
Done000
Total64670

Merged error: 0.0b

Counts
70 → 6

localize13.0ms

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))

rewrite35.0ms

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)))
11.0ms
(* 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))

series32.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (* 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)))
4.0ms
(* (* x 0.12) (* x 0.12))

simplify543.0ms

Counts
132 → 132
Iterations

Useful iterations: done (539.0ms)

IterNodesCost
01612472
14392276
218611664
done50001588

prune207.0ms

Filtered
91 candidates to 132 candidates (-45.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh044
Picked011
Done011
Total1317138

Merged error: 0b

Counts
138 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
0.1b
(* x (sqrt 0.12))
0.1b
(* x (sqrt 0.12))
0.3b
(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
20×add-exp-log add-cbrt-cube
19×pow-prod-down
18×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×sqrt-prod
7×associate-*l*
6×add-log-exp
4×pow-sqr pow-prod-up unswap-sqr
3×*-commutative
2×pow-plus
1×+-commutative pow2 flip3-+ swap-sqr sum-log flip-+
Counts
4 → 89
Calls
4 calls:
4.0ms
(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
6.0ms
(* x (sqrt 0.12))
6.0ms
(* x (sqrt 0.12))
13.0ms
(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* 0.253 x) (* (* x (sqrt 0.12)) (* x (sqrt 0.12))))
4.0ms
(* x (sqrt 0.12))
4.0ms
(* x (sqrt 0.12))
7.0ms
(* (* x (sqrt 0.12)) (* x (sqrt 0.12)))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
084980
1225708
2824586
33544578
done5000570

prune120.0ms

Filtered
60 candidates to 101 candidates (-68.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh044
Picked011
Done022
Total1017108

Merged error: 0b

Counts
108 → 7

regimes85.0ms

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

sample471.0ms

Algorithm
intervals
Results
277.0ms10696×body80valid

Profiling

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