Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

391×

body

valid

simplify131.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (40.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	65	12
3	126	11
4	162	10
5	171	10
6	174	10
done	174	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 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)) (* (* a z) b))
0.0b	(+ (+ x (* y z)) (* t a))
5.8b	(* (* a z) b)

rewrite63.0ms

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))
42.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
10.0ms	(+ (+ x (* y z)) (* t a))
7.0ms	(* (* a z) b)

series198.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y z))
89.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
49.0ms	(+ (+ x (* y z)) (* t a))
32.0ms	(* (* a z) b)

simplify991.0ms

Counts

85 → 85

Iterations

Useful iterations: done (988.0ms)

Iter	Nodes	Cost
0	123	930
1	354	781
2	1452	697
done	5000	695

prune293.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

1.9b	(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))

series94.0ms

Counts

1 → 3

Calls

1 calls:

94.0ms

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

simplify922.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (26.0ms)

Iter	Nodes	Cost
0	26	165
1	43	161
2	88	139
3	260	137
4	1464	137
done	5000	137

prune48.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma z y (* a (fma z b t)))
2.0b	(* a (fma z b t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma z y (* a (fma z b t)))
3.0ms	(* a (fma z b t))

series102.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(fma z y (* a (fma z b t)))
40.0ms	(* a (fma z b t))

simplify1.6s

Counts

38 → 38

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	56	362
1	101	353
2	238	303
3	719	303
4	2843	303
done	5000	303

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* a (sqrt (fma z b t)))
0.2b	(* (* a (sqrt (fma z b t))) (sqrt (fma z b t)))
1.0b	(sqrt (fma z b t))
1.0b	(sqrt (fma z b t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

4.0ms	(* a (sqrt (fma z b t)))
11.0ms	(* (* a (sqrt (fma z b t))) (sqrt (fma z b t)))
1.0ms	(sqrt (fma z b t))
1.0ms	(sqrt (fma z b t))

series277.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* a (sqrt (fma z b t)))
46.0ms	(* (* a (sqrt (fma z b t))) (sqrt (fma z b t)))
68.0ms	(sqrt (fma z b t))
74.0ms	(sqrt (fma z b t))

simplify1.5s

Counts

89 → 89

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	107	1076
1	270	839
2	826	749
3	2786	729
done	5001	721

prune254.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes174.0ms

Accuracy

39.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch46.0ms

Steps

Iters	Range		Point
7	-2.0161767902339397e+80	-4.7702391630974086e+78	-1.6703230867618247e+79

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	29
1	26	29
done	26	29

end0.0ms

sample852.0ms

Algorithm

intervals

Results

457.0ms

11778×

body

valid