Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	123×	body	80	valid
8.0ms	73×	body	640	valid
3.0ms	41×	body	320	valid
1.0ms	19×	body	160	valid

simplify6.0ms

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

localize11.0ms

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)))

rewrite142.0ms

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:

11.0ms	(/ 1.0 (+ x 1.0))
9.0ms	(/ 1.0 (- x 1.0))
86.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series306.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1.0 (+ x 1.0))
47.0ms	(/ 1.0 (- x 1.0))
220.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.2s

Counts

513 → 513

Iterations

Iter	Nodes
done	5000
2	4303
1	1253
0	525

prune1.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize25.0ms

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))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
86×	`add-cbrt-cube` `add-exp-log`
44×	`prod-exp` `cbrt-unprod`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
17×	`cbrt-undiv` `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 → 156

Calls

4 calls:

28.0ms	(* (* x x) (* x x))
96.0ms	(/ 2.0 (* (* (* x x) x) (* (* x x) x)))
27.0ms	(/ 2.0 (* (* x x) (* x x)))
6.0ms	(/ 2.0 (* x x))

series216.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* x x) (* x x))
75.0ms	(/ 2.0 (* (* (* x x) x) (* (* x x) x)))
54.0ms	(/ 2.0 (* (* x x) (* x x)))
41.0ms	(/ 2.0 (* x x))

simplify2.9s

Counts

168 → 168

Iterations

Iter	Nodes
done	5002
2	4603
1	545
0	166

prune416.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 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)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
86×	`add-cbrt-cube` `add-exp-log`
46×	`prod-exp` `cbrt-unprod`
42×	`pow-prod-up`
26×	`pow-prod-down`
24×	`pow-plus` `pow-sqr`
15×	`pow2` `cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `associate-l` `-commutative` `div-inv` `unswap-sqr`
1×	`swap-sqr` `pow3`

Counts

4 → 163

Calls

4 calls:

23.0ms	(* (* x x) x)
31.0ms	(* (* x x) (* x x))
86.0ms	(/ 2.0 (* (* (* x x) x) (* (* x x) x)))
24.0ms	(/ 2.0 (* (* x x) (* x x)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* x x) x)
51.0ms	(* (* x x) (* x x))
76.0ms	(/ 2.0 (* (* (* x x) x) (* (* x x) x)))
66.0ms	(/ 2.0 (* (* x x) (* x x)))

simplify6.3s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	4579
1	532
0	160

prune460.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

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)))

rewrite40.0ms

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:

12.0ms	(/ 2.0 (* x x))
12.0ms	(/ 2.0 (* x x))
5.0ms	(sqrt (/ 2.0 (* x x)))
5.0ms	(sqrt (/ 2.0 (* x x)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ 2.0 (* x x))
47.0ms	(/ 2.0 (* x x))
47.0ms	(sqrt (/ 2.0 (* x x)))
53.0ms	(sqrt (/ 2.0 (* x x)))

simplify743.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	665
1	143
0	67

prune473.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

99.8% (0.0b remaining)

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

bsearch174.0ms

Steps

Iters	Range		Point
11	1.9534460235190362e-22	53640.016154094046	210.20597887599166
10	-17239113253358.373	-4.96108325192681e-05	-217.64633177598978

simplify18.0ms

Iterations

Iter	Nodes
done	58
4	58
3	57
2	54
1	47
0	33

end0.0ms

sample1.1s

Algorithm

intervals

Results

394.0ms	1938×	body	640	valid
232.0ms	1239×	body	320	valid
230.0ms	4207×	body	80	valid
75.0ms	616×	body	160	valid