Details

sample51.0ms

Algorithm

intervals

Results

21.0ms	332×	body	80	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (369.0ms)

Iter	Nodes	Cost
0	12	15
1	31	14
2	89	14
3	280	12
4	744	11
5	1269	11
6	1442	11
7	1456	11
done	1456	11

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
23×	`distribute-lft-out`
20×	`add-log-exp`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-+l+` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

765.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
2.0s	(* x (+ (+ (+ (+ y z) z) y) t))
209.0ms	(+ (+ (+ y z) z) y)
50.0ms	(+ (+ y z) z)

series259.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
74.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
52.0ms	(+ (+ (+ y z) z) y)
32.0ms	(+ (+ y z) z)

simplify1.2s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	138	1169
1	398	970
2	1529	908
done	5000	893

prune408.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ y z) z) y) t)
0.0b	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

51×	`*-un-lft-identity`
32×	`add-log-exp`
29×	`distribute-lft-out`
19×	`sum-log`
15×	`fma-def`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative` `associate-+l+` `flip3-+` `flip-+`
1×	`fma-udef`

Counts

4 → 82

Calls

4 calls:

778.0ms	(+ (+ (+ (+ y z) z) y) t)
0.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
188.0ms	(+ (+ (+ y z) z) y)
65.0ms	(+ (+ y z) z)

series241.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ (+ (+ y z) z) y) t)
101.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
58.0ms	(+ (+ (+ y z) z) y)
51.0ms	(+ (+ y z) z)

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	110	926
1	284	775
2	1007	718
done	5000	607

prune351.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (fma 2 z y) y)) (* t x))
0.0b	(+ (+ (* x (+ (fma 2 z y) y)) (* t x)) (* y 5.0))
0.0b	(* x (+ (fma 2 z y) y))
0.0b	(+ (fma 2 z y) y)

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

25.0ms	(+ (* x (+ (fma 2 z y) y)) (* t x))
76.0ms	(+ (+ (* x (+ (fma 2 z y) y)) (* t x)) (* y 5.0))
26.0ms	(* x (+ (fma 2 z y) y))
6.0ms	(+ (fma 2 z y) y)

series309.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x (+ (fma 2 z y) y)) (* t x))
91.0ms	(+ (+ (* x (+ (fma 2 z y) y)) (* t x)) (* y 5.0))
83.0ms	(* x (+ (fma 2 z y) y))
53.0ms	(+ (fma 2 z y) y)

simplify995.0ms

Counts

89 → 89

Iterations

Useful iterations: done (992.0ms)

Iter	Nodes	Cost
0	123	1197
1	362	1074
2	1285	874
done	5001	814

prune406.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

354.0ms	(* (cbrt x) (cbrt x))
320.0ms	(cbrt x)
282.0ms	(cbrt x)
268.0ms	(cbrt x)

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: done (5.3s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune439.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	16	14
done	16	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.3s	10588×	body	80	valid
26.0ms	89×	body	1280	valid
24.0ms	105×	body	640	valid
11.0ms	61×	body	320	valid
3.0ms	27×	body	160	valid