Details

sample25.0ms

Algorithm

intervals

Results

10.0ms

344×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	55	9
5	65	9
6	71	9
7	88	9
8	122	9
9	305	9
10	1233	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

11.0ms	(+ (* x y) (* (- x 1.0) z))
24.0ms	(* (- x 1.0) z)

series87.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x y) (* (- x 1.0) z))
45.0ms	(* (- x 1.0) z)

simplify621.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	71	405
1	192	373
2	766	345
done	5000	345

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x 1.0) z)
0.0b	(sqrt (* (- x 1.0) z))
0.0b	(sqrt (* (- x 1.0) z))
0.3b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite592.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

43.0ms	(* (- x 1.0) z)
9.0ms	(sqrt (* (- x 1.0) z))
413.0ms	(sqrt (* (- x 1.0) z))
119.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- x 1.0) z)
104.0ms	(sqrt (* (- x 1.0) z))
108.0ms	(sqrt (* (- x 1.0) z))
57.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify935.0ms

Counts

117 → 117

Iterations

Useful iterations: done (931.0ms)

Iter	Nodes	Cost
0	122	1343
1	280	997
2	1313	905
done	5000	887

prune374.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
0.5b	(cbrt (* (- x 1.0) z))
0.5b	(cbrt (* (- x 1.0) z))
0.5b	(cbrt (* (- x 1.0) z))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

52.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
12.0ms	(cbrt (* (- x 1.0) z))
19.0ms	(cbrt (* (- x 1.0) z))
18.0ms	(cbrt (* (- x 1.0) z))

series542.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (* (- x 1.0) z)) (cbrt (* (- x 1.0) z)))
121.0ms	(cbrt (* (- x 1.0) z))
119.0ms	(cbrt (* (- x 1.0) z))
141.0ms	(cbrt (* (- x 1.0) z))

simplify805.0ms

Counts

84 → 84

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	150	1569
1	375	1444
2	1193	1304
done	5001	1227

prune385.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- x 1.0))
0.2b	(cbrt (- x 1.0))
0.2b	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
0.3b	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

rewrite558.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-div`
154×	`associate-*l/`
140×	`frac-times`
132×	`sqrt-div`
116×	`flip3--` `flip--`
54×	`pow1`
52×	`associate-*r/`
38×	`cbrt-prod` `add-sqr-sqrt`
35×	`pow-prod-down`
34×	`*-un-lft-identity`
20×	`sqrt-pow1`
16×	`add-cube-cbrt`
12×	`associate-r` `associate-l`
10×	`swap-sqr`
8×	`add-exp-log` `pow1/3` `distribute-lft-out--`
6×	`add-cbrt-cube` `difference-of-squares`
5×	`unswap-sqr`
4×	`add-log-exp`
2×	`pow1/2` `prod-exp` `sqrt-prod` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod`

Counts

4 → 198

Calls

4 calls:

4.0ms	(cbrt (- x 1.0))
5.0ms	(cbrt (- x 1.0))
44.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
484.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

series550.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (- x 1.0))
142.0ms	(cbrt (- x 1.0))
154.0ms	(* (cbrt (- x 1.0)) (cbrt (- x 1.0)))
109.0ms	(* (sqrt (* (- x 1.0) z)) (sqrt (* (* (cbrt (- x 1.0)) (cbrt (- x 1.0))) (* (cbrt (- x 1.0)) z))))

simplify1.8s

Counts

210 → 210

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	409	6479
1	952	6035
2	3308	5598
done	5000	5275

prune919.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

541.0ms

10160×

body

valid