Details

sample43.0ms

Algorithm

intervals

Results

26.0ms

368×

body

valid

simplify57.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	106
5	106
4	105
3	89
2	54
1	26
0	13

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y z))
0.0b	(+ (+ x (* y z)) (* t a))
4.8b	(* (* a z) b)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `sum-log` `*-un-lft-identity` `add-cube-cbrt`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-l` `*-commutative`

Counts

3 → 45

Calls

3 calls:

5.0ms	(+ x (* y z))
25.0ms	(+ (+ x (* y z)) (* t a))
17.0ms	(* (* a z) b)

series112.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(+ x (* y z))
56.0ms	(+ (+ x (* y z)) (* t a))
28.0ms	(* (* a z) b)

simplify888.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1099
1	274
0	96

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
0.6b	(cbrt b)
1.3b	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
3.6b	(* (* a z) (* (cbrt b) (cbrt b)))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log`
21×	`add-cbrt-cube` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt b)
1.0ms	(cbrt b)
154.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
55.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt b)
250.0ms	(cbrt b)
63.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
139.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	4751
2	1015
1	276
0	99

prune435.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b)
1.3b	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
1.8b	(* (* (* a z) (cbrt b)) (cbrt b))
2.0b	(* (* a z) (cbrt b))

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
18×	`associate-r`
16×	`add-cbrt-cube`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 87

Calls

4 calls:

1.0ms	(cbrt b)
275.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
61.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
23.0ms	(* (* a z) (cbrt b))

series550.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt b)
61.0ms	(* (* (* (* a z) (cbrt b)) (cbrt b)) (cbrt b))
121.0ms	(* (* (* a z) (cbrt b)) (cbrt b))
108.0ms	(* (* a z) (cbrt b))

simplify1.9s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1269
1	330
0	118

prune536.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a (+ t (* z b))) x)
0.0b	(+ t (* z b))
3.7b	(* a (+ t (* z b)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-log-exp`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`flip3-+` `associate-r` `associate-l` `flip-+` `insert-posit16`
2×	`distribute-rgt-in` `+-commutative` `associate-+l+` `sum-log` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

20.0ms	(+ (* a (+ t (* z b))) x)
8.0ms	(+ t (* z b))
23.0ms	(* a (+ t (* z b)))

series215.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(+ (* a (+ t (* z b))) x)
44.0ms	(+ t (* z b))
67.0ms	(* a (+ t (* z b)))

simplify2.3s

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
3	4299
2	857
1	249
0	84

prune274.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes621.0ms

Accuracy

63.2% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 1.9b

bsearch143.0ms

Steps

Iters	Range		Point
7	3.471669801220173e-101	1.4114620583492474e-99	2.2669484073702458e-100
7	-2.296877024780569e+178	-4.418591377913901e+176	-4.474709576506922e+176

simplify8.0ms

Iterations

Iter	Nodes
done	39
1	39
0	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

957.0ms

11741×

body

valid