Details

sample48.0ms

Algorithm

intervals

Results

23.0ms

307×

body

valid

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	38	12
4	45	12
5	51	12
6	53	12
done	53	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0b	(* (/ x y) z)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

34.0ms	(/ (+ x 4.0) y)
59.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
25.0ms	(* (/ x y) z)

series152.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (+ x 4.0) y)
58.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
47.0ms	(* (/ x y) z)

simplify2.9s

Counts

88 → 88

Iterations

Useful iterations: 2 (210.0ms)

Iter	Nodes	Cost
0	142	904
1	340	859
2	979	785
3	2991	785
done	5001	785

prune362.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`frac-times` `times-frac` `associate-r/` `associate-r` `-commutative` `div-inv`

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
101.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series932.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt y)
323.0ms	(cbrt y)
274.0ms	(cbrt y)
44.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify2.2s

Counts

94 → 94

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	120	1600
1	348	1534
2	1838	776
done	5000	505

prune329.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
5.7b	(* x (/ z y))

rewrite547.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r/` `associate-l` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

40.0ms	(/ (+ x 4.0) y)
477.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
24.0ms	(* x (/ z y))

series127.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 4.0) y)
71.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
26.0ms	(* x (/ z y))

simplify2.4s

Counts

88 → 88

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	142	920
1	345	863
2	971	797
3	2909	797
done	5001	797

prune309.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt z)
0.7b	(cbrt z)
0.7b	(cbrt z)
1.5b	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
9×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-l`
2×	`times-frac` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `div-inv`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)
82.0ms	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

series915.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt z)
275.0ms	(cbrt z)
307.0ms	(cbrt z)
114.0ms	(* x (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))))

simplify1.8s

Counts

75 → 75

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	115	782
1	287	747
2	1072	553
done	5001	524

prune388.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	26
1	19	26
done	19	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

680.0ms

10073×

body

valid