Details

sample34.0ms

Algorithm

intervals

Results

22.0ms	276×	body	80	valid
0.0ms	1×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
18	4706
17	4374
16	4030
15	3643
14	3174
13	2610
12	1673
11	892
10	514
9	408
8	343
7	276
6	198
5	139
4	94
3	58
2	33
1	17
0	10

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.6b	(fma t (/ (- y z) (- a z)) x)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

33.0ms	(/ (- y z) (- a z))
1.0ms	(fma t (/ (- y z) (- a z)) x)

series177.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- y z) (- a z))
111.0ms	(fma t (/ (- y z) (- a z)) x)

simplify1.7s

Counts

72 → 72

Iterations

Iter	Nodes
done	5004
3	2021
2	655
1	266
0	115

prune394.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
0.0b	(/ z (- a z))
1.6b	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 585

Calls

4 calls:

81.0ms	(- (/ y (- a z)) (/ z (- a z)))
14.0ms	(/ y (- a z))
9.0ms	(/ z (- a z))
1.0ms	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

series352.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- (/ y (- a z)) (/ z (- a z)))
36.0ms	(/ y (- a z))
58.0ms	(/ z (- a z))
173.0ms	(fma t (- (/ y (- a z)) (/ z (- a z))) x)

simplify2.5s

Counts

597 → 597

Iterations

Iter	Nodes
done	5003
2	3058
1	1280
0	574

prune3.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a z))
0.0b	(/ 1 (- a z))
0.1b	(* z (/ 1 (- a z)))
1.6b	(fma t (- (/ y (- a z)) (* z (/ 1 (- a z)))) x)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
57×	`*-un-lft-identity`
47×	`times-frac`
34×	`add-cube-cbrt`
21×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r*`
7×	`pow1`
6×	`associate-/r/` `associate-/l*`
5×	`div-exp`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `associate-l` `div-inv` `flip--` `unswap-sqr`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `cbrt-unprod`
1×	`pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 142

Calls

4 calls:

9.0ms	(/ y (- a z))
9.0ms	(/ 1 (- a z))
29.0ms	(* z (/ 1 (- a z)))
1.0ms	(fma t (- (/ y (- a z)) (* z (/ 1 (- a z)))) x)

series410.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ y (- a z))
64.0ms	(/ 1 (- a z))
79.0ms	(* z (/ 1 (- a z)))
222.0ms	(fma t (- (/ y (- a z)) (* z (/ 1 (- a z)))) x)

simplify2.9s

Counts

154 → 154

Iterations

Iter	Nodes
done	5001
3	3378
2	1125
1	388
0	179

prune811.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
0.0b	(/ z (- a z))
0.5b	(/ 1 (/ (- a z) y))
1.6b	(fma t (- (/ 1 (/ (- a z) y)) (/ z (- a z))) x)

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

3327×	`times-frac`
2495×	`add-sqr-sqrt`
2478×	`*-un-lft-identity`
1662×	`add-cube-cbrt`
1302×	`prod-diff`
410×	`difference-of-squares`
405×	`distribute-lft-out--`
157×	`div-inv`
149×	`associate-/r/`
64×	`flip3--` `flip--`
62×	`fma-neg`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 1548

Calls

4 calls:

84.0ms	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
9.0ms	(/ z (- a z))
12.0ms	(/ 1 (/ (- a z) y))
1.0ms	(fma t (- (/ 1 (/ (- a z) y)) (/ z (- a z))) x)

series836.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(- (/ 1 (/ (- a z) y)) (/ z (- a z)))
98.0ms	(/ z (- a z))
122.0ms	(/ 1 (/ (- a z) y))
351.0ms	(fma t (- (/ 1 (/ (- a z) y)) (/ z (- a z))) x)

simplify2.9s

Counts

1560 → 1560

Iterations

Iter	Nodes
done	5001
1	2875
0	1300

prune7.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes618.0ms

Accuracy

79.9% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch2.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.0s	8717×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid