Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

312×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6
done	54	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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:

17.0ms	(/ (+ x 4.0) y)
49.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms	(* (/ x y) z)

series98.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ x 4.0) y)
48.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
23.0ms	(* (/ x y) z)

simplify117.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	341	425
1	1212	395
2	4978	394
3	5002	394
done	5002	394

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
0.0b	(+ (* 4.0 (/ 1 y)) (/ x y))
4.0b	(* (/ x y) z)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

113.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
14.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
14.0ms	(* (/ x y) z)

series96.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
26.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
25.0ms	(* (/ x y) z)

simplify40.0ms

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	341	472
1	1450	422
2	5001	401
done	5001	401

prune180.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
72.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series572.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
181.0ms	(cbrt x)
183.0ms	(cbrt x)
27.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify63.0ms

Counts

94 → 94

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	406	967
1	2218	639
2	5001	524
done	5001	524

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
6.5b	(* x (/ z y))

rewrite81.0ms

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:

17.0ms	(/ (+ x 4.0) y)
49.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
13.0ms	(* x (/ z y))

series96.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (+ x 4.0) y)
48.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
21.0ms	(* x (/ z y))

simplify41.0ms

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	349	430
1	1432	403
2	5001	403
done	5001	403

prune179.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	18
1	25	18
done	25	18

end0.0ms

sample549.0ms

Algorithm

intervals

Results

270.0ms

10092×

body

valid