Details

Time bar (total: 7.5s)

sample21.0ms

Algorithm
intervals
Results
12.0ms347×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
01013
12513
25411
311311
416711
520711
624811
733311
848511
977311
10110011
11140111
12186311
13210111
14233311
15278311
16302111
17325311
18370311
19394111
20417311
21462311
22486111
done500011

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
4.0ms
(- (* x 3.0) 4.0)
8.0ms
(* x (- (* x 3.0) 4.0))
6.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series14.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x 3.0) 4.0)
6.0ms
(* x (- (* x 3.0) 4.0))
4.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify832.0ms

Counts
67 → 67
Iterations

Useful iterations: 3 (265.0ms)

IterNodesCost
0108772
1269749
2895675
32770667
done5000667

prune112.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh000
Picked101
Done000
Total63568

Merged error: 0b

Counts
68 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
8.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
4.0ms
(- (* x 9.0) 12.0)
7.0ms
(* x (- (* x 9.0) 12.0))

series16.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
4.0ms
(- (* x 9.0) 12.0)
9.0ms
(* x (- (* x 9.0) 12.0))

simplify630.0ms

Counts
60 → 60
Iterations

Useful iterations: 3 (169.0ms)

IterNodesCost
086639
1210616
2596558
31790550
done5001550

prune76.0ms

Filtered
38 candidates to 60 candidates (-57.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60060
Fresh044
Picked011
Done000
Total60565

Merged error: 0b

Counts
65 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow x 2)
0.0b
(+ (* 3.0 (pow x 2)) (* x (neg 4.0)))
0.1b
(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* x (neg 4.0)))))
0.2b
(* 3.0 (pow x 2))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
12×add-exp-log associate-*r*
11×add-cube-cbrt
8×add-cbrt-cube
7×pow1 unpow-prod-down
6×associate-*l* add-log-exp
5×unswap-sqr
4×prod-exp
3×pow-unpow unpow2 sqr-pow
2×pow-to-exp flip3-+ associate-*r/ pow-exp *-commutative distribute-rgt-neg-out cbrt-unprod flip-+
1×+-commutative distribute-rgt-in pow-pow distribute-lft-in unsub-neg pow-prod-down sum-log distribute-lft-out
Counts
4 → 81
Calls
4 calls:
2.0ms
(pow x 2)
5.0ms
(+ (* 3.0 (pow x 2)) (* x (neg 4.0)))
9.0ms
(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* x (neg 4.0)))))
6.0ms
(* 3.0 (pow x 2))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(pow x 2)
8.0ms
(+ (* 3.0 (pow x 2)) (* x (neg 4.0)))
4.0ms
(* 3.0 (+ 1.0 (+ (* 3.0 (pow x 2)) (* x (neg 4.0)))))
4.0ms
(* 3.0 (pow x 2))

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: 3 (408.0ms)

IterNodesCost
01251025
1342894
21158802
34451715
done5000715

prune117.0ms

Filtered
57 candidates to 93 candidates (-63.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done011
Total93598

Merged error: 0b

Counts
98 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.2b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.2b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.2b
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
7.0ms
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
15.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
15.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
19.0ms
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

simplify700.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
01872796
14932584
218302402
done50012402

prune329.0ms

Filtered
69 candidates to 84 candidates (-21.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh022
Picked011
Done022
Total84589

Merged error: 0b

Counts
89 → 5

regimes39.0ms

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
089
1119
done119

end0.0ms

sample571.0ms

Algorithm
intervals
Results
371.0ms10714×body80valid

Profiling

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