Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

385×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	24	11
done	24	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

2.0ms	(+ (* x y) (* z t))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))

series87.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x y) (* z t))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify827.0ms

Counts

30 → 30

Iterations

Useful iterations: 3 (208.0ms)

Iter	Nodes	Cost
0	57	421
1	185	395
2	620	373
3	2082	369
done	5000	369

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.2b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.2b	(sqrt (+ (* x y) (* z t)))
1.2b	(sqrt (+ (* x y) (* z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
18.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
4.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (* x y) (* z t))
33.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
72.0ms	(sqrt (+ (* x y) (* z t)))
73.0ms	(sqrt (+ (* x y) (* z t)))

simplify2.7s

Counts

110 → 110

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	106	2066
1	233	1475
2	800	1367
3	4066	1304
done	5001	1300

prune290.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b	(sqrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* t z) (* x y)))
1.9b	(cbrt (+ (* x y) (* z t)))
1.9b	(cbrt (+ (* x y) (* z t)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

5.0ms	(sqrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* t z) (* x y)))
2.0ms	(cbrt (+ (* x y) (* z t)))
2.0ms	(cbrt (+ (* x y) (* z t)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (+ (* x y) (* z t)))
102.0ms	(cbrt (+ (* t z) (* x y)))
101.0ms	(cbrt (+ (* x y) (* z t)))
103.0ms	(cbrt (+ (* x y) (* z t)))

simplify913.0ms

Counts

66 → 66

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	148	1029
1	361	972
2	927	905
3	2713	869
done	5000	867

prune337.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (sqrt (+ (* x y) (* z t)))) 4)
1.2b	(sqrt (+ (* x y) (* z t)))
1.2b	(sqrt (+ (* x y) (* z t)))
1.2b	(sqrt (+ (* x y) (* z t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
6×	`cbrt-prod` `sqrt-div`
5×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

5.0ms	(pow (cbrt (sqrt (+ (* x y) (* z t)))) 4)
4.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))
3.0ms	(sqrt (+ (* x y) (* z t)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(pow (cbrt (sqrt (+ (* x y) (* z t)))) 4)
74.0ms	(sqrt (+ (* x y) (* z t)))
69.0ms	(sqrt (+ (* x y) (* z t)))
75.0ms	(sqrt (+ (* x y) (* z t)))

simplify1.3s

Counts

81 → 81

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	128	1271
1	316	1104
2	862	1050
3	3081	1009
done	5001	1003

prune299.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes409.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample776.0ms

Algorithm

intervals

Results

375.0ms

11962×

body

valid