Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
2	14	9
done	14	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
7.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
57×	`times-frac`
49×	`add-cube-cbrt`
39×	`prod-diff`
12×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `div-inv` `associate-/l*` `add-log-exp`
3×	`fma-neg`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+`

Counts

2 → 111

Calls

2 calls:

15.0ms	(- 1.0 (/ y z))
49.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- 1.0 (/ y z))
86.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify4.8s

Counts

117 → 117

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	220	2574
1	498	2334
2	1332	1799
3	4720	1529
done	5000	1529

prune262.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.5b	(/ 1 (- 1.0 (/ y z)))
7.2b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 160

Calls

3 calls:

14.0ms	(- 1.0 (/ y z))
23.0ms	(/ 1 (- 1.0 (/ y z)))
98.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- 1.0 (/ y z))
83.0ms	(/ 1 (- 1.0 (/ y z)))
74.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.3s

Counts

169 → 169

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	270	3123
1	631	2682
2	1731	2085
done	5001	1826

prune496.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.2b	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
7.9b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

259×	`times-frac`
235×	`add-sqr-sqrt`
231×	`*-un-lft-identity`
125×	`add-cube-cbrt`
44×	`difference-of-squares`
39×	`prod-diff`
34×	`associate-/r*`
31×	`distribute-lft-out`
22×	`distribute-lft-out--`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
9×	`div-inv` `associate-/l*`
8×	`div-exp`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

3 → 258

Calls

3 calls:

18.0ms	(- 1.0 (/ y z))
61.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
76.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series329.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(- 1.0 (/ y z))
232.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
66.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.0s

Counts

267 → 267

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	372	5784
1	871	5073
2	2188	4263
done	5000	3960

prune565.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z))
0.0b	(/ y (+ y x))
0.2b	(/ 1 (- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z)))
2.0b	(/ (/ y (+ y x)) z)

rewrite805.0ms

Algorithm

rewrite-expression-head

Rules

2543×	`times-frac`
2092×	`*-un-lft-identity`
1432×	`add-sqr-sqrt`
1327×	`add-cube-cbrt`
1044×	`prod-diff`
360×	`distribute-lft-out`
239×	`associate-/r/`
138×	`div-inv`
118×	`flip3-+` `flip-+`
30×	`difference-of-squares`
24×	`associate-/l*`
19×	`associate-/r*`
18×	`fma-neg`
15×	`add-exp-log` `distribute-lft-out--`
13×	`add-cbrt-cube`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `frac-sub` `flip--`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `associate-/l/` `inv-pow`

Counts

4 → 1285

Calls

4 calls:

279.0ms	(- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z))
12.0ms	(/ y (+ y x))
262.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z)))
43.0ms	(/ (/ y (+ y x)) z)

series466.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z))
54.0ms	(/ y (+ y x))
108.0ms	(/ 1 (- (/ 1.0 (+ y x)) (/ (/ y (+ y x)) z)))
132.0ms	(/ (/ y (+ y x)) z)

simplify2.2s

Counts

1297 → 1297

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	1256	84457
1	2795	77163
done	5001	61065

prune4.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

84.8% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch72.0ms

Steps

Iters	Range		Point
9	2.1927299290011604e+49	1.5530038377043224e+54	2.211156237826686e+49
3	-1.620663769536734e+22	-1.1818218448352858e+22	-1.5383809086552126e+22

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	47
1	26	33
done	26	33

end0.0ms

sample859.0ms

Algorithm

intervals

Results

455.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid