Details

Time bar (total: 6.3s)

sample20.0ms

Algorithm
intervals
Results
12.0ms347×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01013
12513
25411
311311
416711
519611
622511
729011
842711
973711
10100311
11153211
12196211
13285611
14360311
done500011

prune5.0ms

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))))

rewrite24.0ms

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:
10.0ms
(- (* x 3.0) 4.0)
7.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* 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))))

simplify865.0ms

Counts
67 → 67
Iterations

Useful iterations: 3 (262.0ms)

IterNodesCost
0108772
1269751
2770678
32631668
done5000668

prune108.0ms

Filtered
47 candidates to 67 candidates (-42.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63467
Fresh000
Picked011
Done000
Total63568

Merged error: 0b

Counts
68 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (- (* 9.0 x) 12.0)) 3.0)
0.0b
(- (* 9.0 x) 12.0)
0.1b
(* x (- (* 9.0 x) 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 (- (* 9.0 x) 12.0)) 3.0)
4.0ms
(- (* 9.0 x) 12.0)
7.0ms
(* x (- (* 9.0 x) 12.0))

series13.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ (* x (- (* 9.0 x) 12.0)) 3.0)
4.0ms
(- (* 9.0 x) 12.0)
6.0ms
(* x (- (* 9.0 x) 12.0))

simplify644.0ms

Counts
60 → 60
Iterations

Useful iterations: 3 (172.0ms)

IterNodesCost
084639
1205617
2530567
31655551
done5000551

prune71.0ms

Filtered
39 candidates to 60 candidates (-53.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59160
Fresh123
Picked011
Done011
Total60565

Merged error: 0b

Counts
65 → 5

localize11.0ms

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))))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
14.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
17.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
18.0ms
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

simplify476.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
01872796
14932595
218382402
done50012402

prune326.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 3.0) 4.0)
0.1b
(* x (- (* x 3.0) 4.0))
0.1b
(* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))
0.8b
(* (sqrt 3.0) (* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×associate-*l*
13×pow1 add-exp-log add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
8×associate-*r/
7×distribute-rgt-in distribute-lft-in associate-*r* sqrt-prod
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×diff-log
Counts
4 → 89
Calls
4 calls:
4.0ms
(- (* x 3.0) 4.0)
7.0ms
(* x (- (* x 3.0) 4.0))
7.0ms
(* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))
9.0ms
(* (sqrt 3.0) (* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x 3.0) 4.0)
9.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))
6.0ms
(* (sqrt 3.0) (* (sqrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify547.0ms

Counts
101 → 101
Iterations

Useful iterations: done (544.0ms)

IterNodesCost
01451514
13891369
214371198
done50001148

prune139.0ms

Filtered
63 candidates to 101 candidates (-60.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1001101
Fresh101
Picked011
Done033
Total1015106

Merged error: 0b

Counts
106 → 5

regimes35.0ms

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

sample565.0ms

Algorithm
intervals
Results
373.0ms10714×body80valid

Profiling

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