Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

362×

body

valid

simplify94.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (35.0ms)

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

prune8.0ms

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)) (* t a))
0.0b	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b	(+ x (* y z))
1.8b	(* (* a z) b)

rewrite67.0ms

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:

10.0ms	(+ (+ x (* y z)) (* t a))
46.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
7.0ms	(* (* a z) b)

series209.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ (+ x (* y z)) (* t a))
94.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
34.0ms	(+ x (* y z))
28.0ms	(* (* a z) b)

simplify646.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	123	930
1	365	781
2	1595	697
done	5001	697

prune259.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma a t (fma z y x)) (* (* a z) b))
1.8b	(* (* a z) b)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

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

series141.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(+ (fma a t (fma z y x)) (* (* a z) b))
26.0ms	(* (* a z) b)

simplify2.5s

Counts

43 → 43

Iterations

Useful iterations: 3 (411.0ms)

Iter	Nodes	Cost
0	75	487
1	193	459
2	797	400
3	4014	370
done	5000	370

prune145.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
0.9b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
1.2b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite72.0ms

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:

0.0ms	(cbrt b)
1.0ms	(cbrt b)
53.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
15.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series539.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt b)
188.0ms	(cbrt b)
51.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
115.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify831.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	101	1001
1	271	966
2	1183	646
done	5001	646

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (* y z)) (* a (+ t (* z b))))
0.0b	(+ t (* z b))
0.0b	(+ x (* y z))
2.0b	(* a (+ t (* z b)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
8×	`flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`sum-log`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`+-commutative` `associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

11.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
2.0ms	(+ t (* z b))
2.0ms	(+ x (* y z))
7.0ms	(* a (+ t (* z b)))

series225.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (+ x (* y z)) (* a (+ t (* z b))))
31.0ms	(+ t (* z b))
32.0ms	(+ x (* y z))
69.0ms	(* a (+ t (* z b)))

simplify600.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	130	1158
1	416	1015
2	1704	889
done	5000	889

prune305.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample846.0ms

Algorithm

intervals

Results

437.0ms

11775×

body

valid