Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

362×

body

valid

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	13	15
1	26	15
2	54	13
3	85	13
4	94	13
5	96	13
done	96	13

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

9.0ms	(+ (+ x (* y z)) (* t a))
40.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
2.0ms	(+ x (* y z))
6.0ms	(* (* a z) b)

series171.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (+ x (* y z)) (* t a))
76.0ms	(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms	(+ x (* y z))
26.0ms	(* (* a z) b)

simplify499.0ms

Counts

68 → 68

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	115	854
1	342	787
2	1412	703
done	5000	703

prune165.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite69.0ms

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×	`add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 74

Calls

4 calls:

0.0ms	(cbrt b)
0.0ms	(cbrt b)
49.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
14.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

series501.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt b)
183.0ms	(cbrt b)
43.0ms	(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
99.0ms	(* (* a z) (* (cbrt b) (cbrt b)))

simplify502.0ms

Counts

86 → 86

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	95	943
1	265	908
2	1177	600
done	5000	600

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
0.6b	(cbrt (+ (+ x (* y z)) (* t a)))
1.8b	(* (* a z) b)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`add-log-exp`
3×	`flip3-+` `pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
1×	`associate-l` `*-commutative`

Counts

4 → 57

Calls

4 calls:

5.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
5.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
8.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
7.0ms	(* (* a z) b)

series563.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
179.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
175.0ms	(cbrt (+ (+ x (* y z)) (* t a)))
25.0ms	(* (* a z) b)

simplify1.9s

Counts

69 → 69

Iterations

Useful iterations: 3 (389.0ms)

Iter	Nodes	Cost
0	109	1083
1	280	1051
2	938	949
3	3903	913
done	5000	913

prune234.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r/` `add-cbrt-cube`
5×	`sum-log`
4×	`frac-add`
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 → 63

Calls

4 calls:

10.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
2.0ms	(+ x (* y z))
3.0ms	(+ (* z b) t)
11.0ms	(* a (+ (* z b) t))

series164.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ (+ x (* y z)) (* a (+ (* z b) t)))
24.0ms	(+ x (* y z))
21.0ms	(+ (* z b) t)
40.0ms	(* a (+ (* z b) t))

simplify523.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	123	1098
1	386	1024
2	1587	966
done	5000	966

prune202.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	24	22
done	24	22

end0.0ms

sample811.0ms

Algorithm

intervals

Results

420.0ms

11775×

body

valid