Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

339×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* (- y x) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

30.0ms	(* (- y x) z)
7.0ms	(+ x (* (- y x) z))

series105.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (- y x) z)
46.0ms	(+ x (* (- y x) z))

simplify1.6s

Counts

39 → 39

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1870	303
done	5000	303

prune99.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (- y x) z))
0.3b	(* (* (- y x) z) (* (- y x) z))
4.4b	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
28.5b	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

7.0ms	(- x (* (- y x) z))
117.0ms	(* (* (- y x) z) (* (- y x) z))
19.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
31.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- x (* (- y x) z))
63.0ms	(* (* (- y x) z) (* (- y x) z))
110.0ms	(- (* x x) (* (* (- y x) z) (* (- y x) z)))
266.0ms	(/ (- (* x x) (* (* (- y x) z) (* (- y x) z))) (- x (* (- y x) z)))

simplify1.5s

Counts

115 → 115

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	163	2549
1	471	2300
2	1784	1858
done	5002	1854

prune319.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- y x))
0.0b	(sqrt (- y x))
0.1b	(* (sqrt (- y x)) z)
0.2b	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

15.0ms	(sqrt (- y x))
15.0ms	(sqrt (- y x))
55.0ms	(* (sqrt (- y x)) z)
77.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

series332.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sqrt (- y x))
104.0ms	(sqrt (- y x))
101.0ms	(* (sqrt (- y x)) z)
57.0ms	(* (sqrt (- y x)) (* (sqrt (- y x)) z))

simplify2.0s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	128	1215
1	307	989
2	805	899
3	2103	871
done	5000	871

prune335.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample884.0ms

Algorithm

intervals

Results

425.0ms

10051×

body

valid