Details

sample83.0ms

Algorithm

intervals

Results

40.0ms

528×

body

valid

simplify1.2s

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: 6.8b

localize10.0ms

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))

rewrite73.0ms

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:

12.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
59.0ms	(* (* y 4.0) (- (* z z) t))

series209.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
111.0ms	(* (* y 4.0) (- (* z z) t))

simplify3.9s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	93	707
1	264	669
2	982	583
3	4561	577
done	5001	577

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
11.5b	(* (* z z) (* y 4.0))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 38

Calls

2 calls:

74.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
41.0ms	(* (* z z) (* y 4.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(- (- (* x x) (* (* z z) (* y 4.0))) (* (- t) (* y 4.0)))
25.0ms	(* (* z z) (* y 4.0))

simplify3.5s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	85	730
1	227	656
2	861	512
3	4477	499
done	5001	499

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

53.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
54.0ms	(* z (* z (* y 4.0)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (- (* x x) (* z (* z (* y 4.0)))) (* (- t) (* y 4.0)))
24.0ms	(* z (* z (* y 4.0)))

simplify3.8s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	88	706
1	243	690
2	920	520
3	4603	491
done	5000	491

prune111.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite28.0ms

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:

20.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt z) (cbrt z))
199.0ms	(cbrt z)
282.0ms	(cbrt z)
287.0ms	(cbrt z)

simplify4.2s

Counts

85 → 85

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune255.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes520.0ms

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

sample2.5s

Algorithm

intervals

Results

1.5s

15945×

body

valid