Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	73×	body	640	valid
6.0ms	123×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	19×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	12
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.0b	(/ 1.0 (- x 1.0))
3.7b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

662×	`*-un-lft-identity`
589×	`times-frac`
496×	`add-sqr-sqrt`
378×	`prod-diff`
368×	`add-cube-cbrt`
86×	`associate-/r/`
79×	`distribute-lft-out--`
76×	`distribute-lft-out`
62×	`difference-of-squares`
44×	`div-inv`
24×	`flip-+`
23×	`flip3-+`
21×	`flip--`
20×	`flip3--`
18×	`fma-neg`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*`
5×	`add-log-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub`

Counts

3 → 504

Calls

3 calls:

17.0ms	(/ 1.0 (+ x 1.0))
10.0ms	(/ 1.0 (- x 1.0))
114.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series374.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1.0 (+ x 1.0))
45.0ms	(/ 1.0 (- x 1.0))
295.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.6s

Counts

513 → 513

Iterations

Iter	Nodes
done	5005
2	3208
1	1252
0	525

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
0.2b	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
0.4b	(/ 2.0 (* (* x x) (* x x)))
0.7b	(/ 2.0 (* x x))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
92×	`add-cbrt-cube` `add-exp-log`
48×	`prod-exp` `cbrt-unprod`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`cbrt-undiv` `pow-plus` `div-exp`
13×	`pow2`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `div-inv`
1×	`swap-sqr` `associate-r` `associate-l` `*-commutative` `unswap-sqr`

Counts

4 → 158

Calls

4 calls:

31.0ms	(* (* x x) (* x x))
97.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
24.0ms	(/ 2.0 (* (* x x) (* x x)))
6.0ms	(/ 2.0 (* x x))

series186.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x x) (* x x))
58.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
41.0ms	(/ 2.0 (* (* x x) (* x x)))
44.0ms	(/ 2.0 (* x x))

simplify1.2s

Counts

170 → 170

Iterations

Iter	Nodes
done	5116
2	1748
1	479
0	174

prune553.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x x) (* x x))
0.2b	(* (* x x) (* x x))
0.2b	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
0.4b	(/ 2.0 (* (* x x) (* x x)))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

226×	`pow1`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
55×	`prod-exp` `cbrt-unprod`
46×	`pow-prod-down`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
16×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `swap-sqr` `associate-r` `associate-l` `-commutative` `div-inv` `unswap-sqr`

Counts

4 → 200

Calls

4 calls:

37.0ms	(* (* x x) (* x x))
44.0ms	(* (* x x) (* x x))
158.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
41.0ms	(/ 2.0 (* (* x x) (* x x)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x x) (* x x))
52.0ms	(* (* x x) (* x x))
80.0ms	(/ 2.0 (* (* x x) (* (* x x) (* x x))))
57.0ms	(/ 2.0 (* (* x x) (* x x)))

simplify3.2s

Counts

212 → 212

Iterations

Iter	Nodes
done	5003
3	4829
2	1037
1	344
0	150

prune437.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 2.0 (* x x))
0.7b	(/ 2.0 (* x x))
26.6b	(sqrt (/ 2.0 (* x x)))
26.6b	(sqrt (/ 2.0 (* x x)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`times-frac` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `rem-sqrt-square` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 88

Calls

4 calls:

14.0ms	(/ 2.0 (* x x))
18.0ms	(/ 2.0 (* x x))
11.0ms	(sqrt (/ 2.0 (* x x)))
9.0ms	(sqrt (/ 2.0 (* x x)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 2.0 (* x x))
32.0ms	(/ 2.0 (* x x))
76.0ms	(sqrt (/ 2.0 (* x x)))
69.0ms	(sqrt (/ 2.0 (* x x)))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	1365
2	340
1	132
0	67

prune549.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 32.0b

bsearch163.0ms

Steps

Iters	Range		Point
11	1.9534460235190362e-22	53640.016154094046	285.1259381968662
10	-17239113253358.373	-4.96108325192681e-05	-210.35455521212631

simplify29.0ms

Iterations

Iter	Nodes
done	68
3	68
2	63
1	52
0	34

end0.0ms

sample1.5s

Algorithm

intervals

Results

844.0ms	1938×	body	640	valid
254.0ms	4207×	body	80	valid
193.0ms	1239×	body	320	valid
55.0ms	616×	body	160	valid