Details

sample18.0ms

Algorithm

intervals

Results

9.0ms

296×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	8
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

4.0ms

(- x (* y z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- x (* y z))

simplify1.5s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	2034
3	663
2	207
1	75
0	30

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y z))
0.3b	(* (* y z) (* y z))
2.9b	(- (* x x) (* (* y z) (* y z)))
24.8b	(/ (- (* x x) (* (* y z) (* y z))) (+ x (* y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
18×	`add-cbrt-cube` `add-exp-log`
17×	`pow-prod-down`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`difference-of-squares`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`associate-/r*`
2×	`flip3-+` `pow-plus` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `*-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

5.0ms	(+ x (* y z))
28.0ms	(* (* y z) (* y z))
16.0ms	(- (* x x) (* (* y z) (* y z)))
20.0ms	(/ (- (* x x) (* (* y z) (* y z))) (+ x (* y z)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ x (* y z))
36.0ms	(* (* y z) (* y z))
96.0ms	(- (* x x) (* (* y z) (* y z)))
73.0ms	(/ (- (* x x) (* (* y z) (* y z))) (+ x (* y z)))

simplify1.5s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2464
1	389
0	135

prune383.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z y) x)
0.0b	(- x (* z y))
0.1b	(/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y)))
0.2b	(/ 1 (/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

522×	`times-frac`
248×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
54×	`associate-/r*`
43×	`associate-/r/`
30×	`add-exp-log`
22×	`div-inv`
18×	`add-cbrt-cube` `div-exp` `associate-/l*`
17×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
8×	`add-log-exp`
6×	`flip3--` `flip--`
5×	`pow1`
4×	`insert-posit16`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 339

Calls

4 calls:

7.0ms	(+ (* z y) x)
5.0ms	(- x (* z y))
53.0ms	(/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y)))
26.0ms	(/ 1 (/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* z y) x)
35.0ms	(- x (* z y))
58.0ms	(/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y)))
48.0ms	(/ 1 (/ (/ (+ (* z y) x) (+ (* z y) x)) (- x (* z y))))

simplify1.6s

Counts

351 → 351

Iterations

Iter	Nodes
done	5000
1	1595
0	510

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* y z) (* y z))
2.9b	(- (* x x) (* (* y z) (* y z)))
3.7b	(/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z))))
7.1b	(* (/ 1 (sqrt (+ x (* y z)))) (/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z)))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
88×	`times-frac`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
47×	`sqrt-prod`
45×	`pow1`
40×	`add-exp-log`
31×	`associate-r`
30×	`add-cbrt-cube`
25×	`associate-l`
18×	`pow-prod-down`
16×	`prod-exp`
15×	`unswap-sqr`
14×	`difference-of-squares`
12×	`cbrt-unprod`
9×	`div-exp`
6×	`associate-/r*` `sqrt-div` `associate-/r/` `add-log-exp`
5×	`cbrt-undiv`
4×	`pow-sqr` `pow-prod-up` `insert-posit16` `associate-/l*`
3×	`flip3-+` `flip-+` `div-inv`
2×	`rec-exp` `pow-plus` `flip3--` `1-exp` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `swap-sqr` `associate-l/` `associate-r/`

Counts

4 → 195

Calls

4 calls:

22.0ms	(* (* y z) (* y z))
8.0ms	(- (* x x) (* (* y z) (* y z)))
41.0ms	(/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z))))
67.0ms	(* (/ 1 (sqrt (+ x (* y z)))) (/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z)))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* y z) (* y z))
111.0ms	(- (* x x) (* (* y z) (* y z)))
176.0ms	(/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z))))
91.0ms	(* (/ 1 (sqrt (+ x (* y z)))) (/ (- (* x x) (* (* y z) (* y z))) (sqrt (+ x (* y z)))))

simplify1.2s

Counts

207 → 207

Iterations

Iter	Nodes
done	5000
1	808
0	257

prune826.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample659.0ms

Algorithm

intervals

Results

431.0ms

9168×

body

valid