Details

sample23.0ms

Algorithm

intervals

Results

14.0ms

307×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
8	2662
7	1716
6	872
5	387
4	171
3	84
2	34
1	14
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
3.8b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-l*`
6×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

19.0ms	(* (- 1.0 y) z)
19.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (- 1.0 y) z)
56.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify2.0s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	3175
2	681
1	228
0	95

prune150.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 1.0 x))
0.0b	(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
2.2b	(* z (- (* x y) (* 1.0 x)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

7.0ms	(- (* x y) (* 1.0 x))
16.0ms	(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
25.0ms	(* z (- (* x y) (* 1.0 x)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* 1.0 x))
89.0ms	(+ (* z (- (* x y) (* 1.0 x))) (* 1.0 x))
72.0ms	(* z (- (* x y) (* 1.0 x)))

simplify2.0s

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
3	2942
2	743
1	246
0	88

prune185.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
2.8b	(* (* x z) (- y 1.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

27.0ms	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
36.0ms	(* (* x z) (- y 1.0))

series143.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (* x z) (- y 1.0)) (* 1.0 x))
73.0ms	(* (* x z) (- y 1.0))

simplify2.8s

Counts

49 → 49

Iterations

Iter	Nodes
done	5007
3	4804
2	949
1	268
0	91

prune174.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
1.2b	(* (cbrt z) (- (* x y) (* 1.0 x)))
1.5b	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
10×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-l`
6×	`sub-neg` `associate-*r/`
4×	`associate-r` `insert-posit16` `add-log-exp`
2×	`flip3--` `pow1/3` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
38.0ms	(* (cbrt z) (- (* x y) (* 1.0 x)))
76.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt z)
273.0ms	(cbrt z)
252.0ms	(* (cbrt z) (- (* x y) (* 1.0 x)))
134.0ms	(* (* (cbrt z) (cbrt z)) (* (cbrt z) (- (* x y) (* 1.0 x))))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1300
1	353
0	121

prune406.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes510.0ms

Accuracy

94.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample1.1s

Algorithm

intervals

Results

809.0ms

9975×

body

valid