Details

sample40.0ms

Algorithm

intervals

Results

25.0ms

335×

body

valid

simplify53.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
2.9b	(* (/ x y) z)

rewrite114.0ms

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:

63.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms	(/ (+ x 4.0) y)
21.0ms	(* (/ x y) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
45.0ms	(/ (+ x 4.0) y)
31.0ms	(* (/ x y) z)

simplify3.5s

Counts

88 → 88

Iterations

Useful iterations: 2 (313.0ms)

Iter	Nodes	Cost
0	142	904
1	340	859
2	978	785
3	2995	785
done	5000	785

prune320.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
0.0b	(+ (/ 4.0 y) (/ x y))
2.9b	(* (/ x y) z)

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

267.0ms	(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
36.0ms	(+ (/ 4.0 y) (/ x y))
25.0ms	(* (/ x y) z)

series170.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- (+ (/ 4.0 y) (/ x y)) (* (/ x y) z))
46.0ms	(+ (/ 4.0 y) (/ x y))
38.0ms	(* (/ x y) z)

simplify3.6s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	132	939
1	332	882
2	1079	784
3	4290	772
done	5001	772

prune282.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.7b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.4b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
18×	`pow1` `add-sqr-sqrt`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 86

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
135.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
38.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series693.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(cbrt z)
251.0ms	(cbrt z)
63.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
159.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	124	1076
1	325	1039
2	1170	713
done	5000	637

prune371.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.7b	(* (* (/ (* x (cbrt z)) y) (cbrt z)) (cbrt z))
1.0b	(* (/ (* x (cbrt z)) y) (cbrt z))
2.1b	(/ (* x (cbrt z)) y)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`pow1`
10×	`cbrt-prod`
8×	`associate-l`
6×	`cbrt-undiv` `times-frac` `div-exp`
4×	`pow-prod-down` `add-log-exp`
3×	`associate-l/` `associate-/r`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow1/3` `clear-num` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt z)
108.0ms	(* (* (/ (* x (cbrt z)) y) (cbrt z)) (cbrt z))
47.0ms	(* (/ (* x (cbrt z)) y) (cbrt z))
17.0ms	(/ (* x (cbrt z)) y)

series553.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt z)
53.0ms	(* (* (/ (* x (cbrt z)) y) (cbrt z)) (cbrt z))
130.0ms	(* (/ (* x (cbrt z)) y) (cbrt z))
125.0ms	(/ (* x (cbrt z)) y)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	134	1115
1	335	1071
2	1350	805
done	5001	729

prune338.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes101.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	12	14
done	12	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

724.0ms

10066×

body

valid