Details

sample29.0ms

Algorithm

intervals

Results

13.0ms

278×

body

valid

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	21	11
2	37	11
3	58	11
4	87	11
5	111	11
done	111	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.8b	(* y (+ 1.0 (* z z)))
3.8b	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

31×	`times-frac`
21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-log-exp`
4×	`associate-*r/`
3×	`flip3-+` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`associate-/r/`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 81

Calls

3 calls:

12.0ms	(+ 1.0 (* z z))
32.0ms	(* y (+ 1.0 (* z z)))
42.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series225.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ 1.0 (* z z))
76.0ms	(* y (+ 1.0 (* z z)))
109.0ms	(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.6s

Counts

90 → 90

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	165	1186
1	416	1154
2	1375	990
done	5001	986

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.2b	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
4.6b	(/ (/ 1 x) (+ 1.0 (* z z)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

164×	`times-frac`
115×	`add-sqr-sqrt`
89×	`*-un-lft-identity`
87×	`add-cube-cbrt`
47×	`add-exp-log`
45×	`associate-r`
29×	`add-cbrt-cube`
23×	`div-exp`
13×	`associate-l` `associate-/l*`
12×	`cbrt-undiv`
10×	`prod-exp` `div-inv`
8×	`unswap-sqr`
6×	`cbrt-unprod`
5×	`pow1` `add-log-exp`
4×	`associate-/r/`
3×	`rec-exp` `flip3-+` `1-exp` `associate-/r*` `flip-+`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative` `associate-/l/`

Counts

3 → 179

Calls

3 calls:

10.0ms	(+ 1.0 (* z z))
77.0ms	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
19.0ms	(/ (/ 1 x) (+ 1.0 (* z z)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ 1.0 (* z z))
80.0ms	(* (/ 1.0 y) (/ (/ 1 x) (+ 1.0 (* z z))))
91.0ms	(/ (/ 1 x) (+ 1.0 (* z z)))

simplify1.9s

Counts

188 → 188

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	301	3363
1	847	3002
2	2316	2665
done	5000	2645

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* z z))
3.6b	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
4.3b	(* (+ 1.0 (* z z)) x)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
33×	`add-sqr-sqrt`
31×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/l*`
18×	`cbrt-prod`
17×	`add-exp-log`
15×	`add-cbrt-cube`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-log-exp`
4×	`associate-*l/`
3×	`flip3-+` `associate-r` `associate-l` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
2×	`associate-/r/`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

11.0ms	(+ 1.0 (* z z))
39.0ms	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
32.0ms	(* (+ 1.0 (* z z)) x)

series275.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ 1.0 (* z z))
167.0ms	(/ (/ (cbrt 1.0) y) (* (+ 1.0 (* z z)) x))
63.0ms	(* (+ 1.0 (* z z)) x)

simplify1.6s

Counts

106 → 106

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	201	1572
1	467	1527
2	1612	1371
done	5000	1366

prune447.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.5b	(* (/ (sqrt 1.0) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x)))
2.2b	(/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x))
4.3b	(* (+ 1.0 (* z z)) x)

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac`
94×	`add-sqr-sqrt`
87×	`add-exp-log`
86×	`add-cube-cbrt` `*-un-lft-identity`
69×	`add-cbrt-cube`
58×	`sqrt-prod`
57×	`cbrt-prod`
49×	`associate-r`
40×	`associate-/l*`
34×	`cbrt-undiv` `div-exp`
29×	`prod-exp` `cbrt-unprod`
13×	`associate-l`
8×	`pow1`
7×	`associate-*l/`
6×	`div-inv`
4×	`associate-/r/` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`pow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `pow1/3` `associate-r/` `clear-num` `associate-/r` `associate-/l/`

Counts

4 → 234

Calls

4 calls:

2.0ms	(cbrt y)
116.0ms	(* (/ (sqrt 1.0) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x)))
44.0ms	(/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x))
34.0ms	(* (+ 1.0 (* z z)) x)

series914.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt y)
298.0ms	(* (/ (sqrt 1.0) (* (cbrt y) (cbrt y))) (/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x)))
299.0ms	(/ (/ (sqrt 1.0) (cbrt y)) (* (+ 1.0 (* z z)) x))
41.0ms	(* (+ 1.0 (* z z)) x)

simplify2.6s

Counts

246 → 246

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	380	5395
1	1076	4906
2	4707	3964
done	5001	3820

prune743.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.8b

regimes323.0ms

Accuracy

0% (1.4b remaining)

Error of 6.5b against oracle of 5.1b and baseline of 6.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	14	20
1	19	18
done	19	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

861.0ms

8596×

body

valid