Details

sample27.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize10.0ms

Local error

Found 1 expressions with local error:

8.8b	(/ (+ y x) (- 1.0 (/ y z)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

35.0ms

(/ (+ y x) (- 1.0 (/ y z)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ (+ y x) (- 1.0 (/ y z)))

simplify1.9s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	3465
2	712
1	214
0	97

prune283.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.5b

localize20.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- 1.0 (/ y z)))
8.4b	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

17.0ms	(/ 1 (- 1.0 (/ y z)))
75.0ms	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

series162.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ 1 (- 1.0 (/ y z)))
87.0ms	(* (+ y x) (/ 1 (- 1.0 (/ y z))))

simplify5.3s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3263
1	377
0	147

prune833.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.5b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.8b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
194×	`add-sqr-sqrt`
193×	`*-un-lft-identity`
89×	`add-cube-cbrt`
42×	`difference-of-squares`
34×	`associate-/r*`
31×	`distribute-lft-out`
21×	`distribute-lft-out--`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube` `associate-/l*`
8×	`div-exp`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 199

Calls

2 calls:

39.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
66.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series319.0ms

Counts

2 → 6

Calls

2 calls:

235.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
84.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify1.2s

Counts

205 → 205

Iterations

Iter	Nodes
done	5001
2	3046
1	669
0	249

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
0.0b	(* (+ y x) z)
0.1b	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
10.1b	(/ y (* (+ y x) z))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
206×	`times-frac`
164×	`add-sqr-sqrt`
162×	`prod-diff`
137×	`add-cube-cbrt`
81×	`associate-/r/`
50×	`associate-*l/`
40×	`flip3-+` `flip-+`
31×	`distribute-lft-out`
30×	`div-inv`
18×	`fma-neg`
15×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`distribute-rgt-out--` `difference-of-squares`
9×	`associate-/r*`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
5×	`distribute-lft-out--`
4×	`expm1-log1p-u` `div-exp` `associate-l` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-r`
2×	`clear-num` `frac-2neg` `flip3--` `prod-exp` `frac-sub` `cbrt-unprod` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 304

Calls

4 calls:

86.0ms	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
30.0ms	(* (+ y x) z)
103.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
9.0ms	(/ y (* (+ y x) z))

series412.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
40.0ms	(* (+ y x) z)
110.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
114.0ms	(/ y (* (+ y x) z))

simplify1.9s

Counts

316 → 316

Iterations

Iter	Nodes
done	5001
2	3438
1	846
0	380

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes347.0ms

Accuracy

84.7% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch105.0ms

Steps

Iters	Range		Point
8	10.445105708742691	3749.9523286306803	537.7474182801524
7	-2.5869196401116968e+38	-7.899729129590724e+36	-1.0901381475633392e+38

simplify3.0ms

Iterations

Iter	Nodes
done	28
1	28
0	22

end0.0ms

sample889.0ms

Algorithm

intervals

Results

482.0ms	7995×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid