Details

sample59.0ms

Algorithm

intervals

Results

12.0ms	170×	body	80	valid
9.0ms	26×	body	1280	valid
7.0ms	128×	body	80	nan
5.0ms	20×	body	640	valid
5.0ms	26×	body	320	valid
4.0ms	12×	body	1280	nan
2.0ms	10×	body	640	nan
2.0ms	14×	body	160	valid
1.0ms	5×	body	320	nan
1.0ms	5×	body	160	nan

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2335
8	741
7	343
6	223
5	123
4	75
3	41
2	29
1	19
0	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
3.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div` `insert-posit16`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 112

Calls

4 calls:

22.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
15.0ms	(/ (- x y) (- 1.0 y))
28.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
31.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series434.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
67.0ms	(/ (- x y) (- 1.0 y))
79.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
119.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.3s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1724
1	502
0	208

prune558.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 y))
0.2b	(cbrt (- 1.0 y))
4.2b	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
16.4b	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
14×	`cbrt-prod`
12×	`times-frac` `difference-of-squares`
9×	`log-prod`
7×	`add-cube-cbrt`
6×	`add-log-exp`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `distribute-lft-out--`
2×	`log-div` `pow1/3` `div-sub`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow` `associate--r-`

Counts

4 → 73

Calls

4 calls:

3.0ms	(cbrt (- 1.0 y))
3.0ms	(cbrt (- 1.0 y))
40.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
42.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

series509.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- 1.0 y))
122.0ms	(cbrt (- 1.0 y))
151.0ms	(log (- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))))
82.0ms	(- 1.0 (/ (/ (- x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y))))

simplify3.0s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	4865
2	1121
1	389
0	180

prune528.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

3.5b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`times-frac` `flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 71

Calls

4 calls:

33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
19.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
106.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
110.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
120.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
3	2649
2	589
1	200
0	93

prune479.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 4 expressions with local error:

4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
4.2b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
11.9b	(log (- (* 1.0 (* 1.0 1.0)) (* (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (/ (- x y) (- 1.0 y)))))
12.2b	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`pow1` `log-div` `add-exp-log` `add-cube-cbrt`
4×	`add-cbrt-cube` `rem-log-exp` `log-pow` `insert-posit16` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`times-frac` `distribute-lft-out--`
1×	`difference-cubes` `flip3-+` `cube-unmult` `pow3` `flip-+`

Counts

4 → 67

Calls

4 calls:

29.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
102.0ms	(log (- (* 1.0 (* 1.0 1.0)) (* (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (/ (- x y) (- 1.0 y)))))
57.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

series781.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
88.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
372.0ms	(log (- (* 1.0 (* 1.0 1.0)) (* (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (/ (- x y) (- 1.0 y)))))
215.0ms	(log (+ (* 1.0 1.0) (+ (* (/ (- x y) (- 1.0 y)) (/ (- x y) (- 1.0 y))) (* 1.0 (/ (- x y) (- 1.0 y))))))

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
2	1654
1	422
0	172

prune578.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes291.0ms

Accuracy

99.5% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.0b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	25
1	25
0	23

end0.0ms

sample3.2s

Algorithm

intervals

Results

790.0ms	824×	body	1280	valid
659.0ms	5631×	body	80	valid
397.0ms	3758×	body	80	nan
320.0ms	821×	body	640	valid
221.0ms	340×	body	1280	nan
155.0ms	215×	body	320	nan
146.0ms	396×	body	640	nan
134.0ms	468×	body	320	valid
47.0ms	256×	body	160	valid
21.0ms	126×	body	160	nan