Details

sample40.0ms

Algorithm

intervals

Results

21.0ms

329×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
35	4909
34	4768
33	4615
32	4474
31	4337
30	4196
29	4043
28	3902
27	3765
26	3624
25	3471
24	3330
23	3193
22	3050
21	2903
20	2760
19	2623
18	2480
17	2333
16	2190
15	2053
14	1898
13	1739
12	1450
11	924
10	259
9	144
8	114
7	83
6	66
5	57
4	49
3	34
2	20
1	13
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `insert-posit16`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

17.0ms	(+ (* (- 1.0 x) y) (* x z))
40.0ms	(* (- 1.0 x) y)

series82.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (- 1.0 x) y) (* x z))
42.0ms	(* (- 1.0 x) y)

simplify1.7s

Counts

41 → 41

Iterations

Iter	Nodes
done	5038
3	2317
2	599
1	192
0	73

prune117.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.1b	(* (sqrt (- 1.0 x)) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `associate-l`
14×	`sqrt-div`
12×	`*-un-lft-identity`
11×	`sqrt-prod`
10×	`pow1` `add-cbrt-cube` `associate-*l/` `add-exp-log`
8×	`add-cube-cbrt`
7×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`insert-posit16`
2×	`associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 71

Calls

3 calls:

42.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
23.0ms	(* (sqrt (- 1.0 x)) y)
54.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series178.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
95.0ms	(* (sqrt (- 1.0 x)) y)
35.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify2.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	4143
2	1070
1	370
0	139

prune297.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (- 1.0 x)))
0.1b	(* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y))
0.1b	(* (sqrt (sqrt (- 1.0 x))) y)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
48×	`sqrt-prod`
36×	`associate-*l/`
35×	`flip3--` `flip--`
32×	`frac-times`
31×	`add-sqr-sqrt`
30×	`associate-l`
23×	`*-un-lft-identity`
22×	`pow1`
20×	`add-cbrt-cube` `add-exp-log`
16×	`associate-*r/`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`sqrt-pow1` `insert-posit16` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 143

Calls

4 calls:

8.0ms	(sqrt (sqrt (- 1.0 x)))
64.0ms	(* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y))
26.0ms	(* (sqrt (sqrt (- 1.0 x))) y)
182.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y)))

series532.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (sqrt (- 1.0 x)))
112.0ms	(* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y))
281.0ms	(* (sqrt (sqrt (- 1.0 x))) y)
35.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (sqrt (- 1.0 x))) (* (sqrt (sqrt (- 1.0 x))) y)))

simplify2.0s

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
2	2109
1	711
0	269

prune604.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample750.0ms

Algorithm

intervals

Results

500.0ms

10005×

body

valid