Details

sample19.0ms

Algorithm

intervals

Results

4.0ms	185×	body	80	valid
3.0ms	31×	body	640	valid
2.0ms	16×	body	1280	valid
1.0ms	15×	body	320	valid
0.0ms	9×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (22.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	35	11
3	72	11
4	141	10
5	283	10
6	401	10
7	514	10
8	616	10
9	865	10
10	1205	10
11	1704	10
done	5000	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x 1.0) (+ y 1.0))
17.0b	(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `fma-udef` `div-inv`

Counts

2 → 58

Calls

2 calls:

13.0ms	(/ (- x 1.0) (+ y 1.0))
0.0ms	(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

series98.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (- x 1.0) (+ y 1.0))
69.0ms	(fma (/ (- x 1.0) (+ y 1.0)) y 1.0)

simplify1.6s

Counts

64 → 64

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	114	834
1	277	799
2	801	745
3	3560	739
done	5000	738

prune153.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

3.5b	(/ (- x 1.0) (- (* y y) (* 1.0 1.0)))
10.4b	(* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0))
17.0b	(fma (* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0)) y 1.0)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
41×	`times-frac`
37×	`add-cube-cbrt`
26×	`associate-l`
21×	`difference-of-squares`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1` `flip3--` `associate-r` `flip--` `associate-/l*`
4×	`associate-/r*` `associate-/r/`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `sub-neg` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef`

Counts

3 → 133

Calls

3 calls:

12.0ms	(/ (- x 1.0) (- (* y y) (* 1.0 1.0)))
38.0ms	(* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0))
0.0ms	(fma (* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0)) y 1.0)

series241.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- x 1.0) (- (* y y) (* 1.0 1.0)))
68.0ms	(* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0))
103.0ms	(fma (* (/ (- x 1.0) (- (* y y) (* 1.0 1.0))) (- y 1.0)) y 1.0)

simplify1.4s

Counts

142 → 142

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	256	3206
1	693	2990
2	3176	2695
done	5000	2695

prune332.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
2.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.4b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `prod-diff`
24×	`add-cube-cbrt`
16×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/`
5×	`pow1` `associate-l` `distribute-lft-out` `add-log-exp`
4×	`flip3-+` `associate-l/` `associate-/r` `flip-+` `div-inv`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `associate-/l` `unswap-sqr`

Counts

3 → 102

Calls

3 calls:

10.0ms	(* (- 1.0 x) y)
16.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series148.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- 1.0 x) y)
73.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
44.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.1s

Counts

111 → 111

Iterations

Useful iterations: 2 (396.0ms)

Iter	Nodes	Cost
0	202	2757
1	546	2323
2	2238	1851
done	5001	1851

prune201.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

2.5b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.4b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.4b	(/ (* (- 1.0 x) y) (+ y 1.0))
5.4b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
30×	`prod-diff`
29×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
24×	`times-frac`
19×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*` `associate-/r/`
9×	`distribute-lft-out`
6×	`cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `diff-log` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

16.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
10.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
43.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
47.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
44.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify765.0ms

Counts

148 → 148

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	176	3360
1	489	2861
2	1891	2331
done	5000	2331

prune377.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes220.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 22.0b

bsearch97.0ms

Steps

Iters	Range		Point
10	0.00032040445667021406	117627206.70733242	96213748.28506726
8	-64880754058.88788	-1357526.7243520434	-153989642.2673166

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	48
1	28	38
done	28	38

end0.0ms

sample443.0ms

Algorithm

intervals

Results

156.0ms	6124×	body	80	valid
66.0ms	723×	body	640	valid
43.0ms	388×	body	1280	valid
31.0ms	474×	body	320	valid
13.0ms	291×	body	160	valid