Details

sample42.0ms

Algorithm

intervals

Results

19.0ms

317×

body

valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	16	12
2	29	12
3	42	12
4	49	12
5	55	12
6	61	12
7	63	12
done	63	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
2.0b	(* (/ x y) z)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
46×	`times-frac`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
16×	`fma-neg` `prod-diff`
13×	`associate-l`
10×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
5×	`pow1` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`expm1-log1p-u` `associate-/r` `associate-r` `associate-l/` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip-+` `flip--` `sub-div`

Counts

3 → 117

Calls

3 calls:

22.0ms	(/ (+ x 4.0) y)
94.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
32.0ms	(* (/ x y) z)

series147.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ (+ x 4.0) y)
67.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms	(* (/ x y) z)

simplify1.7s

Counts

126 → 126

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	165	1542
1	411	1487
2	2049	1354
done	5001	1312

prune716.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.7b	(* (* (* (cbrt z) (cbrt z)) (/ x y)) (cbrt z))
1.5b	(* (* (cbrt z) (cbrt z)) (/ x y))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
19×	`associate-r`
18×	`add-sqr-sqrt` `pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-l` `associate-r/` `-commutative` `unswap-sqr`
1×	`associate-*l/` `div-inv`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
140.0ms	(* (* (* (cbrt z) (cbrt z)) (/ x y)) (cbrt z))
30.0ms	(* (* (cbrt z) (cbrt z)) (/ x y))

series827.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt z)
275.0ms	(cbrt z)
62.0ms	(* (* (* (cbrt z) (cbrt z)) (/ x y)) (cbrt z))
239.0ms	(* (* (cbrt z) (cbrt z)) (/ x y))

simplify2.3s

Counts

106 → 106

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	135	1151
1	403	1106
2	2994	818
done	5000	689

prune481.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (pow (/ z (/ y x)) 1))
2.3b	(/ z (/ y x))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

1742×	`times-frac`
1326×	`*-un-lft-identity`
1051×	`add-sqr-sqrt`
1022×	`add-cube-cbrt`
768×	`prod-diff`
710×	`unpow-prod-down`
151×	`distribute-lft-out`
119×	`div-inv`
18×	`sqr-pow`
17×	`associate-/r/`
16×	`associate-/r*` `fma-neg`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
7×	`associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out--`

Counts

3 → 916

Calls

3 calls:

14.0ms	(/ (+ x 4.0) y)
182.0ms	(- (/ (+ x 4.0) y) (pow (/ z (/ y x)) 1))
13.0ms	(/ z (/ y x))

series148.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (+ x 4.0) y)
76.0ms	(- (/ (+ x 4.0) y) (pow (/ z (/ y x)) 1))
26.0ms	(/ z (/ y x))

simplify1.4s

Counts

925 → 925

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	1145	60333
1	2820	45878
done	5001	43718

prune5.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (/ (cbrt z) (/ (cbrt y) x)))
1.2b	(/ (cbrt z) (/ (cbrt y) x))

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

526×	`times-frac`
308×	`add-sqr-sqrt`
268×	`cbrt-prod`
267×	`*-un-lft-identity` `add-cube-cbrt`
137×	`associate-r`
78×	`add-exp-log`
36×	`add-cbrt-cube`
30×	`cbrt-undiv` `div-exp`
27×	`prod-exp` `cbrt-unprod`
22×	`associate-/r*`
16×	`div-inv`
14×	`unswap-sqr`
6×	`pow1` `associate-/l*`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-/r/`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 403

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
144.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (/ (cbrt z) (/ (cbrt y) x)))
22.0ms	(/ (cbrt z) (/ (cbrt y) x))

series745.0ms

Counts

4 → 12

Calls

4 calls:

247.0ms	(cbrt z)
253.0ms	(cbrt z)
23.0ms	(* (/ (* (cbrt z) (cbrt z)) (* (cbrt y) (cbrt y))) (/ (cbrt z) (/ (cbrt y) x)))
221.0ms	(/ (cbrt z) (/ (cbrt y) x))

simplify1.1s

Counts

415 → 415

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	548	8394
1	1981	7900
done	5001	7363

prune3.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: done (4.0ms)

Iter	Nodes	Cost
0	18	28
1	22	28
done	22	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

10207×

body

valid