Details

Time bar (total: 9.2s)

sample78.0ms

Algorithm
intervals
Results
18.0ms293×body80valid
17.0ms257×body80nan

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01516
13016
28316
322516
462716
5166916
6339216
done500116

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b
(* (- a 0.5) b)
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
4×frac-add
3×associate-+l+
2×sub-neg pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 90
Calls
4 calls:
13.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
7.0ms
(* (- a 0.5) b)
10.0ms
(- (+ (+ x y) z) (* z (log t)))
5.0ms
(* z (log t))

series74.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
5.0ms
(* (- a 0.5) b)
13.0ms
(- (+ (+ x y) z) (* z (log t)))
12.0ms
(* z (log t))

simplify819.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (169.0ms)

IterNodesCost
02101573
15741446
223311353
done50011353

prune164.0ms

Filtered
74 candidates to 102 candidates (-37.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New948102
Fresh000
Picked011
Done000
Total949103

Merged error: 0.0b

Counts
103 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x y) (- z (* z (log t))))
0.0b
(* (- a 0.5) b)
0.2b
(- z (* z (log t)))
0.3b
(* z (log t))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×add-sqr-sqrt add-log-exp
12×add-cube-cbrt log-prod
9×pow1
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×distribute-rgt-in distribute-lft-in sum-log associate--r+
4×flip3-- frac-add flip--
3×flip3-+ diff-log flip-+ distribute-lft-out
2×sub-neg associate-+r+ pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative associate-+r- associate-+l+ log-pow distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
11.0ms
(+ (+ x y) (- z (* z (log t))))
7.0ms
(* (- a 0.5) b)
4.0ms
(- z (* z (log t)))
5.0ms
(* z (log t))

series34.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(+ (+ x y) (- z (* z (log t))))
5.0ms
(* (- a 0.5) b)
9.0ms
(- z (* z (log t)))
8.0ms
(* z (log t))

simplify512.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
02091195
15511094
218901004
done50011004

prune139.0ms

Filtered
68 candidates to 101 candidates (-48.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh167
Picked011
Done011
Total1019110

Merged error: 0.0b

Counts
110 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt t))) z)
0.3b
(* z (log (cbrt t)))
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 cbrt-prod log-prod
11×add-exp-log add-cbrt-cube
8×associate-*r*
6×distribute-rgt-in distribute-lft-in
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (* 2 (log (cbrt t))) z)
6.0ms
(* z (log (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series102.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 2 (log (cbrt t))) z)
26.0ms
(* z (log (cbrt t)))
25.0ms
(cbrt t)
24.0ms
(cbrt t)

simplify943.0ms

Counts
84 → 84
Iterations

Useful iterations: done (941.0ms)

IterNodesCost
0122720
1263680
2810572
32281548
done5001541

prune128.0ms

Filtered
54 candidates to 84 candidates (-55.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh246
Picked101
Done112
Total86793

Merged error: 0b

Counts
93 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (log (cbrt t)))
0.3b
(* (* 2/3 (log t)) z)
0.4b
(* 2/3 (log t))
0.5b
(cbrt t)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×log-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1
13×add-exp-log add-cbrt-cube
12×associate-*r*
9×cbrt-prod distribute-rgt-in distribute-lft-in
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×log-pow *-commutative
2×pow1/3 unswap-sqr
Counts
4 → 86
Calls
4 calls:
6.0ms
(* z (log (cbrt t)))
6.0ms
(* (* 2/3 (log t)) z)
5.0ms
(* 2/3 (log t))
1.0ms
(cbrt t)

series77.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* z (log (cbrt t)))
13.0ms
(* (* 2/3 (log t)) z)
15.0ms
(* 2/3 (log t))
28.0ms
(cbrt t)

simplify1.0s

Counts
98 → 98
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0155816
1308768
2920653
32920629
done5000622

prune100.0ms

Filtered
58 candidates to 98 candidates (-69.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh145
Picked101
Done011
Total996105

Merged error: 0b

Counts
105 → 6

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02124
12724
done2724

end0.0ms

sample2.4s

Algorithm
intervals
Results
550.0ms9184×body80valid
534.0ms9550×body80nan
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

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