Details

sample42.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (/ y z))
6.2b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite48.0ms

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-cbrt-cube` `add-exp-log` `div-inv` `associate-/l*` `add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `flip-+`

Counts

2 → 113

Calls

2 calls:

14.0ms	(- 1.0 (/ y z))
30.0ms	(/ (+ x y) (- 1.0 (/ y z)))

series106.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(- 1.0 (/ y z))
80.0ms	(/ (+ x y) (- 1.0 (/ y z)))

simplify2.6s

Counts

119 → 119

Iterations

Iter	Nodes
done	5000
3	4346
2	1400
1	522
0	222

prune472.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ y z))
0.4b	(/ 1 (- 1.0 (/ y z)))
5.9b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite75.0ms

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` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l*` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

3 → 163

Calls

3 calls:

12.0ms	(- 1.0 (/ y z))
21.0ms	(/ 1 (- 1.0 (/ y z)))
39.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series157.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(- 1.0 (/ y z))
63.0ms	(/ 1 (- 1.0 (/ y z)))
74.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify2.0s

Counts

172 → 172

Iterations

Iter	Nodes
done	5002
2	1879
1	686
0	273

prune722.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.9b

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)))
6.2b	(/ (- 1.0 (/ y z)) (+ x y))

rewrite85.0ms

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` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

3 → 261

Calls

3 calls:

10.0ms	(- 1.0 (/ y z))
28.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
41.0ms	(/ (- 1.0 (/ y z)) (+ x y))

series281.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 1.0 (/ y z))
185.0ms	(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
76.0ms	(/ (- 1.0 (/ y z)) (+ x y))

simplify2.1s

Counts

270 → 270

Iterations

Iter	Nodes
done	5001
2	2422
1	978
0	375

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 4.9b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
0.2b	(* (/ 1 z) y)
6.2b	(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
6.4b	(* (/ y z) 0)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
33×	`times-frac`
29×	`add-cube-cbrt`
26×	`associate-l`
20×	`add-exp-log`
16×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-r` `prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `div-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-inv`
2×	`flip3-+` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+` `associate-/l/`
1×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `mul0` `fma-udef`

Counts

4 → 123

Calls

4 calls:

0.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
11.0ms	(* (/ 1 z) y)
18.0ms	(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
11.0ms	(* (/ y z) 0)

series362.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y)))
13.0ms	(* (/ 1 z) y)
240.0ms	(/ (+ x y) (+ (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 z) y))) (* (/ y z) 0)))
2.0ms	(* (/ y z) 0)

simplify2.6s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
3	2917
2	1185
1	460
0	209

prune792.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 4.9b

regimes310.0ms

Accuracy

0% (1.8b remaining)

Error of 6.8b against oracle of 5.0b and baseline of 6.8b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.3s	7997×	body	80	valid
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid