Details

sample110.0ms

Algorithm

intervals

Results

14.0ms

327×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
2	15	5
3	19	5
done	19	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) z)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`expm1-log1p-u` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

46.0ms

(* (+ x y) z)

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (+ x y) z)

simplify567.0ms

Counts

26 → 26

Iterations

Useful iterations: done (565.0ms)

Iter	Nodes	Cost
0	47	190
1	115	185
2	533	165
done	5000	163

prune100.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

75.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms	(cbrt (+ x y))
4.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))

series971.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
229.0ms	(cbrt (+ x y))
222.0ms	(cbrt (+ x y))
240.0ms	(cbrt (+ x y))

simplify928.0ms

Counts

115 → 115

Iterations

Useful iterations: done (924.0ms)

Iter	Nodes	Cost
0	120	1316
1	288	1186
2	1168	1128
done	5000	1104

prune387.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ x y)) z)
0.3b	(* (pow (* (+ x y) (+ x y)) 1/3) (* (cbrt (+ x y)) z))
0.6b	(cbrt (+ x y))
27.2b	(pow (* (+ x y) (+ x y)) 1/3)

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
16×	`prod-exp`
14×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-l`
11×	`add-cbrt-cube`
10×	`add-cube-cbrt`
9×	`cbrt-prod`
7×	`cbrt-unprod`
6×	`cbrt-div` `pow-pow` `pow-exp`
4×	`expm1-log1p-u` `associate-r` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `flip3-+` `unpow1/3` `flip-+`
2×	`unpow-prod-down` `associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out` `unswap-sqr` `sqr-pow`
1×	`pow2` `pow-plus` `pow1/3` `pow-sqr` `pow-prod-up`

Counts

4 → 97

Calls

4 calls:

47.0ms	(* (cbrt (+ x y)) z)
85.0ms	(* (pow (* (+ x y) (+ x y)) 1/3) (* (cbrt (+ x y)) z))
4.0ms	(cbrt (+ x y))
23.0ms	(pow (* (+ x y) (+ x y)) 1/3)

series853.0ms

Counts

4 → 12

Calls

4 calls:

400.0ms	(* (cbrt (+ x y)) z)
88.0ms	(* (pow (* (+ x y) (+ x y)) 1/3) (* (cbrt (+ x y)) z))
169.0ms	(cbrt (+ x y))
196.0ms	(pow (* (+ x y) (+ x y)) 1/3)

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	180	1353
1	483	1192
2	1970	1064
done	5001	1008

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.0b	(sqrt (+ x y))
0.1b	(* (sqrt (+ x y)) z)
0.2b	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`sqrt-div`
17×	`sqrt-prod`
14×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

10.0ms	(sqrt (+ x y))
15.0ms	(sqrt (+ x y))
40.0ms	(* (sqrt (+ x y)) z)
59.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

series224.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ x y))
42.0ms	(sqrt (+ x y))
80.0ms	(* (sqrt (+ x y)) z)
59.0ms	(* (sqrt (+ x y)) (* (sqrt (+ x y)) z))

simplify1.1s

Counts

109 → 109

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1237
1	341	1117
2	1336	897
done	5001	877

prune333.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample815.0ms

Algorithm

intervals

Results

300.0ms

10113×

body

valid