Details

sample44.0ms

Algorithm

intervals

Results

8.0ms	180×	body	80	valid
7.0ms	30×	body	1280	valid
4.0ms	22×	body	640	valid
3.0ms	106×	body	80	nan
2.0ms	18×	body	320	valid
2.0ms	9×	body	1280	nan
1.0ms	10×	body	640	nan
1.0ms	6×	body	320	nan
0.0ms	6×	body	160	valid
0.0ms	2×	body	160	nan

simplify990.0ms

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: 19.1b

localize20.0ms

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))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

192×	`add-sqr-sqrt`
184×	`*-un-lft-identity`
105×	`prod-diff`
103×	`times-frac`
91×	`add-cube-cbrt`
49×	`difference-of-squares`
47×	`distribute-lft-out--`
12×	`log-prod`
9×	`pow1` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-exp-log` `add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `associate--r+`
5×	`associate-/r` `log-pow` `associate-/l`
4×	`expm1-log1p-u` `log-div` `log1p-expm1-u` `div-inv`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp`

Counts

4 → 227

Calls

4 calls:

37.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
22.0ms	(/ (- x y) (- 1.0 y))
39.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
38.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series327.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
46.0ms	(/ (- x y) (- 1.0 y))
63.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
98.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.1s

Counts

239 → 239

Iterations

Iter	Nodes
done	5000
2	4243
1	1025
0	389

prune952.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

11.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))
11.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))
11.7b	(/ (- x y) (- (* 1.0 1.0) (* y y)))
27.0b	(fma (- (+ 1.0 y)) (/ (- x y) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 y) (/ (- x y) (- (* 1.0 1.0) (* y y)))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
37×	`add-cube-cbrt`
33×	`difference-of-squares`
15×	`associate-/l*` `distribute-lft-out--`
12×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log`
6×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`
1×	`fma-udef`

Counts

4 → 154

Calls

4 calls:

30.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
25.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
25.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
0.0ms	(fma (- (+ 1.0 y)) (/ (- x y) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 y) (/ (- x y) (- (* 1.0 1.0) (* y y)))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
99.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
103.0ms	(/ (- x y) (- (* 1.0 1.0) (* y y)))
142.0ms	(fma (- (+ 1.0 y)) (/ (- x y) (- (* 1.0 1.0) (* y y))) (* (+ 1.0 y) (/ (- x y) (- (* 1.0 1.0) (* y y)))))

simplify1.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	1422
1	321
0	125

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
3.4b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

271×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
186×	`prod-diff`
153×	`times-frac`
136×	`add-cube-cbrt`
66×	`difference-of-squares`
63×	`distribute-lft-out--`
15×	`flip3--` `flip--`
14×	`cbrt-div`
13×	`pow1`
12×	`associate-/r/`
11×	`log-pow`
10×	`log-div` `log-prod`
8×	`add-exp-log` `add-log-exp`
7×	`pow1/3`
6×	`cbrt-prod` `fma-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u`
3×	`rem-log-exp`
2×	`sub-neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `associate--r-`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 280

Calls

4 calls:

44.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
44.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
69.0ms	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
38.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
73.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
220.0ms	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
131.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify2.2s

Counts

292 → 292

Iterations

Iter	Nodes
done	5001
2	3060
1	917
0	381

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
3.4b	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

271×	`add-sqr-sqrt`
262×	`*-un-lft-identity`
186×	`prod-diff`
153×	`times-frac`
136×	`add-cube-cbrt`
66×	`difference-of-squares`
63×	`distribute-lft-out--`
15×	`flip3--` `flip--`
14×	`cbrt-div`
13×	`pow1`
12×	`associate-/r/`
11×	`log-pow`
10×	`log-div` `log-prod`
8×	`add-exp-log` `add-log-exp`
7×	`pow1/3`
6×	`cbrt-prod` `fma-neg` `div-inv`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u`
3×	`rem-log-exp`
2×	`sub-neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `associate--r-`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 280

Calls

4 calls:

47.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
39.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
66.0ms	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
30.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
67.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
250.0ms	(log (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))))
146.0ms	(log (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify2.2s

Counts

292 → 292

Iterations

Iter	Nodes
done	5001
2	3060
1	917
0	381

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes419.0ms

Accuracy

99.7% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.3b

bsearch165.0ms

Steps

Iters	Range		Point
7	383123.6636286385	64260609.3427585	43744445.70071104
5	-83422883652835.42	-34132302576650.152	-34474611802046.883

simplify25.0ms

Iterations

Iter	Nodes
done	49
2	49
1	44
0	30

end0.0ms

sample2.6s

Algorithm

intervals

Results

723.0ms	786×	body	1280	valid
425.0ms	5674×	body	80	valid
344.0ms	3770×	body	80	nan
198.0ms	826×	body	640	valid
123.0ms	412×	body	640	nan
119.0ms	461×	body	320	valid
94.0ms	345×	body	1280	nan
29.0ms	253×	body	160	valid
29.0ms	192×	body	320	nan
12.0ms	120×	body	160	nan