Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

381×

body

valid

simplify229.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	67	12
3	136	11
4	180	10
5	191	10
6	194	10
done	194	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (fma (fma z b t) a x))
1.7b	(fma (fma z b t) a x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma z y (fma (fma z b t) a x))
0.0ms	(fma (fma z b t) a x)

series264.0ms

Counts

2 → 6

Calls

2 calls:

149.0ms	(fma z y (fma (fma z b t) a x))
115.0ms	(fma (fma z b t) a x)

simplify2.2s

Counts

26 → 26

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	37	287
1	60	281
2	132	239
3	512	237
4	3583	237
done	5000	237

prune166.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.2b	(* (* a z) b)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp`
10×	`sum-log`
9×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`+-commutative` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`associate-+l+`
1×	`associate-l` `*-commutative`

Counts

4 → 73

Calls

4 calls:

8.0ms	(+ x (* y z))
35.0ms	(+ (+ x (* y z)) (* t a))
137.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
34.0ms	(* (* a z) b)

series270.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (* y z))
69.0ms	(+ (+ x (* y z)) (* t a))
120.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
39.0ms	(* (* a z) b)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	123	930
1	353	781
2	1526	697
done	5001	662

prune322.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* a z) b)
16.5b	(cbrt (* (* a z) b))
16.5b	(cbrt (* (* a z) b))
16.5b	(cbrt (* (* a z) b))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 53

Calls

4 calls:

30.0ms	(* (* a z) b)
13.0ms	(cbrt (* (* a z) b))
14.0ms	(cbrt (* (* a z) b))
24.0ms	(cbrt (* (* a z) b))

series466.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* a z) b)
144.0ms	(cbrt (* (* a z) b))
130.0ms	(cbrt (* (* a z) b))
144.0ms	(cbrt (* (* a z) b))

simplify3.7s

Counts

65 → 65

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	80	579
1	183	559
2	626	481
3	2140	463
done	5001	435

prune327.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.0b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
4.4b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
130.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
46.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series769.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt b)
293.0ms	(cbrt b)
57.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
128.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.1s

Counts

94 → 94

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	101	1001
1	251	964
2	1080	646
done	5000	561

prune325.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

56.9% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.6b

bsearch104.0ms

Steps

Iters	Range		Point
10	5.5031853780884506e-248	2.9957564890924207e-237	9.108876548869237e-243
5	-4.152975783989734e-76	-1.1221285923239357e-76	-1.633099719810372e-76

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	22	43
1	32	34
done	32	34

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s

11840×

body

valid