Details

sample37.0ms

Algorithm

intervals

Results

22.0ms	332×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 4 (322.0ms)

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

prune8.0ms

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)

rewrite2.8s

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:

694.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.9s	(* x (+ (+ (+ (+ y z) z) y) t))
185.0ms	(+ (+ (+ y z) z) y)
33.0ms	(+ (+ y z) z)

series238.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
69.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
38.0ms	(+ (+ (+ y z) z) y)
33.0ms	(+ (+ 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

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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:

825.0ms	(+ (+ (+ (+ y z) z) y) t)
1.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
159.0ms	(+ (+ (+ y z) z) y)
50.0ms	(+ (+ y z) z)

series208.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (+ (+ (+ y z) z) y) t)
70.0ms	(fma x (+ (+ (+ (+ y z) z) y) t) (* y 5.0))
52.0ms	(+ (+ (+ y z) z) y)
39.0ms	(+ (+ y z) z)

simplify1.3s

Counts

94 → 94

Iterations

Useful iterations: done (1.3s)

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

prune322.0ms

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

rewrite943.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`add-sqr-sqrt` `fma-def` `sum-log`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `associate-r` `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×	`associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

173.0ms	(+ (* x (+ (+ (+ y z) z) y)) (fma t x (* 5.0 y)))
526.0ms	(* x (+ (+ (+ y z) z) y))
206.0ms	(+ (+ (+ y z) z) y)
35.0ms	(+ (+ y z) z)

series262.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(+ (* x (+ (+ (+ y z) z) y)) (fma t x (* 5.0 y)))
92.0ms	(* x (+ (+ (+ y z) z) y))
46.0ms	(+ (+ (+ y z) z) y)
32.0ms	(+ (+ y z) z)

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	127	1147
1	356	959
2	1280	882
done	5001	857

prune422.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite45.0ms

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:

23.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (cbrt x) (cbrt x))
349.0ms	(cbrt x)
280.0ms	(cbrt x)
354.0ms	(cbrt x)

simplify6.2s

Counts

93 → 93

Iterations

Useful iterations: done (6.2s)

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

prune382.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes165.0ms

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

sample1.7s

Algorithm

intervals

Results

1.0s	10588×	body	80	valid
112.0ms	105×	body	640	valid
30.0ms	89×	body	1280	valid
13.0ms	61×	body	320	valid
4.0ms	27×	body	160	valid