Details

sample62.0ms

Algorithm

intervals

Results

30.0ms

495×

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	159	13
4	298	13
5	384	13
6	392	13
7	463	13
8	620	13
9	632	13
done	632	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
0.0b	(- (* z z) t)
6.0b	(* (* y 4.0) (- (* z z) t))

rewrite70.0ms

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:

13.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
13.0ms	(- (* z z) t)
41.0ms	(* (* y 4.0) (- (* z z) t))

series196.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
27.0ms	(- (* z z) t)
77.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.6s

Counts

63 → 63

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	103	843
1	286	802
2	1013	696
3	4580	690
done	5001	690

prune182.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* (* 4.0 (- (* z z) t)) y))
0.0b	(- (* z z) t)
5.7b	(* (* 4.0 (- (* z z) t)) y)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

11.0ms	(- (* x x) (* (* 4.0 (- (* z z) t)) y))
10.0ms	(- (* z z) t)
52.0ms	(* (* 4.0 (- (* z z) t)) y)

series183.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- (* x x) (* (* 4.0 (- (* z z) t)) y))
33.0ms	(- (* z z) t)
60.0ms	(* (* 4.0 (- (* z z) t)) y)

simplify3.2s

Counts

54 → 54

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	101	739
1	262	698
2	877	592
3	4149	588
done	5000	586

prune149.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
0.0b	(- (* x x) (* (* y 4.0) (* z z)))
0.2b	(* (- t) (* y 4.0))
9.9b	(* (* y 4.0) (* z z))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

49.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
11.0ms	(- (* x x) (* (* y 4.0) (* z z)))
30.0ms	(* (- t) (* y 4.0))
30.0ms	(* (* y 4.0) (* z z))

series246.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (- (* x x) (* (* y 4.0) (* z z))) (* (- t) (* y 4.0)))
73.0ms	(- (* x x) (* (* y 4.0) (* z z)))
28.0ms	(* (- t) (* y 4.0))
40.0ms	(* (* y 4.0) (* z z))

simplify1.2s

Counts

88 → 88

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	128	1213
1	345	1129
2	1214	927
done	5000	898

prune234.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* (* (* y 4.0) z) z))
0.1b	(* (* (* y 4.0) z) z)
0.2b	(* (* y 4.0) z)
0.2b	(* (- t) (* y 4.0))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `*-commutative`
1×	`distribute-lft-neg-out` `neg-mul-1` `sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 77

Calls

4 calls:

8.0ms	(- (* x x) (* (* (* y 4.0) z) z))
56.0ms	(* (* (* y 4.0) z) z)
18.0ms	(* (* y 4.0) z)
26.0ms	(* (- t) (* y 4.0))

series156.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* x x) (* (* (* y 4.0) z) z))
37.0ms	(* (* (* y 4.0) z) z)
20.0ms	(* (* y 4.0) z)
24.0ms	(* (- t) (* y 4.0))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	120	890
1	332	845
2	1338	709
done	5000	707

prune233.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample1.7s

Algorithm

intervals

Results

878.0ms

15693×

body

valid