Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

389×

body

valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (36.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	65	12
3	129	11
4	171	10
5	180	10
6	183	10
done	183	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

2.2b	(fma a (fma z b t) (fma y z x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

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

series107.0ms

Counts

1 → 3

Calls

1 calls:

107.0ms

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

simplify582.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	26	165
1	43	161
2	89	139
3	266	137
4	1484	137
done	5000	137

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
7.8b	(* (* a z) b)

rewrite66.0ms

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:

2.0ms	(+ x (* y z))
10.0ms	(+ (+ x (* y z)) (* t a))
45.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
7.0ms	(* (* a z) b)

series223.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ x (* y z))
54.0ms	(+ (+ x (* y z)) (* t a))
102.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
32.0ms	(* (* a z) b)

simplify670.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	123	930
1	365	781
2	1593	697
done	5001	697

prune535.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (* a z) b)
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))

rewrite23.0ms

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:

6.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))

series370.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* a z) b)
114.0ms	(cbrt (* (* a z) b))
116.0ms	(cbrt (* (* a z) b))
109.0ms	(cbrt (* (* a z) b))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 3 (310.0ms)

Iter	Nodes	Cost
0	80	579
1	186	559
2	681	481
3	2542	463
done	5000	463

prune269.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (* a z) b)
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* a z) b))
12.3b	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

rewrite66.0ms

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:

6.0ms	(* (* a z) b)
5.0ms	(cbrt (* (* a z) b))
5.0ms	(cbrt (* (* a z) b))
45.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

series380.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* a z) b)
117.0ms	(cbrt (* (* a z) b))
114.0ms	(cbrt (* (* a z) b))
117.0ms	(cbrt (* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b)))

simplify1.6s

Counts

65 → 65

Iterations

Useful iterations: 3 (322.0ms)

Iter	Nodes	Cost
0	93	670
1	203	650
2	714	558
3	2645	500
done	5000	500

prune288.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

76.8% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	22	71
1	32	62
done	32	62

end0.0ms

sample843.0ms

Algorithm

intervals

Results

431.0ms

11747×

body

valid