Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

520×

body

valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6
done	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.5b	(* (* y 4.0) (- (* z z) t))

rewrite45.0ms

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:

9.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
35.0ms	(* (* y 4.0) (- (* z z) t))

series143.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281
done	5001	281

prune93.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
6.0b	(cbrt (- (* z z) t))
6.0b	(cbrt (- (* z z) t))
6.0b	(cbrt (- (* z z) t))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

91.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))

series361.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (* y 4.0) (* (cbrt (- (* z z) t)) (cbrt (- (* z z) t))))
86.0ms	(cbrt (- (* z z) t))
87.0ms	(cbrt (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))

simplify120.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	315	709
1	1057	625
2	4510	613
3	5001	613
done	5001	613

prune259.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.7b

localize18.0ms

Local error

Found 4 expressions with local error:

6.0b	(cbrt (- (* z z) t))
6.0b	(cbrt (- (* z z) t))
6.0b	(cbrt (- (* z z) t))
6.0b	(cbrt (- (* z z) t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

6.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))
9.0ms	(cbrt (- (* z z) t))
7.0ms	(cbrt (- (* z z) t))

series353.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt (- (* z z) t))
89.0ms	(cbrt (- (* z z) t))
88.0ms	(cbrt (- (* z z) t))
90.0ms	(cbrt (- (* z z) t))

simplify99.0ms

Counts

68 → 68

Iterations

Useful iterations: 4 (91.0ms)

Iter	Nodes	Cost
0	125	448
1	311	420
2	787	412
3	2910	412
4	5001	408
done	5001	408

prune282.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 1.7b

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
1.7b	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
5.5b	(* (* y 4.0) (- (* z z) t))
5.5b	(* (* y 4.0) (- (* z z) t))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
6×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `sqrt-div` `associate-*r/` `flip--` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 80

Calls

4 calls:

9.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
8.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
36.0ms	(* (* y 4.0) (- (* z z) t))
37.0ms	(* (* y 4.0) (- (* z z) t))

series405.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
142.0ms	(sqrt (- (* x x) (* (* y 4.0) (- (* z z) t))))
60.0ms	(* (* y 4.0) (- (* z z) t))
63.0ms	(* (* y 4.0) (- (* z z) t))

simplify38.0ms

Counts

92 → 92

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	270	654
1	1170	602
2	5002	598
done	5002	598

prune210.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 1.7b

regimes428.0ms

Accuracy

82.8% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.2b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16
done	25	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

443.0ms

15820×

body

valid