Details

sample46.0ms

Algorithm

intervals

Results

20.0ms

539×

body

valid

simplify1.6s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
7.3b	(* (* y 4.0) (- (* z z) t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

11.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
14.0ms	(- (* z z) t)
77.0ms	(* (* y 4.0) (- (* z z) t))

series296.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
41.0ms	(- (* z z) t)
106.0ms	(* (* y 4.0) (- (* z z) t))

simplify1.5s

Counts

63 → 63

Iterations

Useful iterations: 2 (310.0ms)

Iter	Nodes	Cost
0	103	843
1	327	802
2	1898	696
done	5000	696

prune206.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0))))
0.0b	(+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0)))
8.3b	(* (* z z) (* y 4.0))

rewrite180.0ms

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×	`distribute-lft-neg-out` `add-sqr-sqrt`
3×	`add-cube-cbrt` `*-un-lft-identity`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `associate-r` `associate-l` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 53

Calls

3 calls:

76.0ms	(- (* x x) (+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0))))
48.0ms	(+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0)))
52.0ms	(* (* z z) (* y 4.0))

series217.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- (* x x) (+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0))))
67.0ms	(+ (* (* z z) (* y 4.0)) (* (- t) (* y 4.0)))
40.0ms	(* (* z z) (* y 4.0))

simplify1.3s

Counts

62 → 62

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	102	1073
1	331	856
2	1893	705
done	5000	702

prune151.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

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`
5×	`add-sqr-sqrt`
4×	`distribute-lft-neg-out` `add-cube-cbrt` `*-un-lft-identity`
3×	`associate-l`
2×	`diff-log` `unsub-neg` `sum-log` `associate--r-`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `associate-r` `*-commutative` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

97.0ms	(- (* x x) (+ (* z (* z (* y 4.0))) (* (- t) (* y 4.0))))
73.0ms	(+ (* z (* z (* y 4.0))) (* (- t) (* y 4.0)))
65.0ms	(* z (* z (* y 4.0)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x x) (+ (* z (* z (* y 4.0))) (* (- t) (* y 4.0))))
61.0ms	(+ (* z (* z (* y 4.0))) (* (- t) (* y 4.0)))
37.0ms	(* z (* z (* y 4.0)))

simplify1.2s

Counts

60 → 60

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	104	1043
1	324	965
2	1682	711
done	5001	691

prune237.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

32.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

293.0ms	(* (cbrt z) (cbrt z))
329.0ms	(cbrt z)
292.0ms	(cbrt z)
261.0ms	(cbrt z)

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

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

prune351.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

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	20	18
2	24	18
3	31	18
done	31	18

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

15886×

body

valid