Details

sample64.0ms

Algorithm

intervals

Results

28.0ms

481×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	50	13
3	160	13
4	443	13
5	1442	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b	(* (* y 4.0) (- (* z z) t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
51.0ms	(* (* y 4.0) (- (* z z) t))

series172.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
69.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.1s

Counts

47 → 47

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	93	707
1	293	669
2	1774	583
done	5000	583

prune108.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (* z z)))
0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
9.3b	(* (* y 4.0) (* z z))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

9.0ms	(- (* x x) (* (* y 4.0) (* z z)))
61.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
27.0ms	(* (* y 4.0) (* z z))

series208.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(- (* x x) (* (* y 4.0) (* z z)))
90.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
44.0ms	(* (* y 4.0) (* z z))

simplify1.2s

Counts

59 → 59

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	100	988
1	303	926
2	1592	741
done	5000	740

prune136.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.0b	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
0.2b	(* (* (* y 4.0) z) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-log-exp`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `diff-log`
3×	`sub-neg` `associate-r`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--l-` `associate-l` `*-commutative`

Counts

3 → 49

Calls

3 calls:

8.0ms	(- (* x x) (* (* (* y 4.0) z) z))
48.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
58.0ms	(* (* (* y 4.0) z) z)

series185.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(- (* x x) (* (* (* y 4.0) z) z))
83.0ms	(- (- (* x x) (* (* (* y 4.0) z) z)) (* (- t) (* y 4.0)))
32.0ms	(* (* (* y 4.0) z) z)

simplify1.3s

Counts

58 → 58

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	106	967
1	316	905
2	1840	736
done	5000	735

prune184.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)

rewrite23.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

16.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series829.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt z) (cbrt z))
206.0ms	(cbrt z)
193.0ms	(cbrt z)
210.0ms	(cbrt z)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune267.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes609.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	19	18
2	23	18
3	30	18
done	30	18

end0.0ms

sample2.1s

Algorithm

intervals

Results

955.0ms

15535×

body

valid