Details

sample56.0ms

Algorithm

intervals

Results

38.0ms

362×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
27	4892
26	4724
25	4538
24	4371
23	4185
22	4017
21	3831
20	3664
19	3478
18	3310
17	3124
16	2935
15	2735
14	2563
13	2357
12	1964
11	1245
10	808
9	546
8	311
7	187
6	124
5	87
4	70
3	55
2	39
1	20
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
72×	`times-frac`
36×	`add-cube-cbrt`
28×	`distribute-lft-out--`
21×	`associate-r` `associate-l`
14×	`distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `*-commutative` `add-log-exp` `unswap-sqr`
6×	`associate-/l*`
2×	`pow1` `cbrt-undiv` `flip3--` `diff-log` `div-exp` `associate--l+` `insert-posit16` `flip--` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `div-sub` `prod-exp` `cbrt-unprod` `div-inv`

Counts

2 → 127

Calls

2 calls:

64.0ms	(- (+ x y) z)
122.0ms	(/ (- (+ x y) z) (* t 2.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(- (+ x y) z)
49.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify1.1s

Counts

133 → 133

Iterations

Iter	Nodes
done	5006
2	1633
1	530
0	188

prune467.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (* t (sqrt 2.0)))
0.3b	(* (/ 1 (* t (sqrt 2.0))) (/ (- (+ x y) z) (sqrt 2.0)))
0.5b	(/ (- (+ x y) z) (sqrt 2.0))
0.5b	(* t (sqrt 2.0))

rewrite456.0ms

Algorithm

rewrite-expression-head

Rules

521×	`add-sqr-sqrt`
463×	`*-un-lft-identity`
448×	`associate-/r*`
374×	`frac-times`
268×	`add-cube-cbrt`
225×	`sqrt-prod`
204×	`associate-/l*`
200×	`times-frac`
196×	`associate-r`
130×	`associate-l`
85×	`unswap-sqr`
74×	`distribute-lft-out--`
64×	`add-exp-log`
48×	`associate-/l/`
44×	`clear-num`
43×	`frac-2neg`
37×	`distribute-lft-out`
36×	`difference-of-squares`
34×	`add-cbrt-cube`
27×	`*-commutative`
24×	`flip3--` `prod-exp` `flip--`
22×	`associate-*l/`
20×	`div-exp`
17×	`associate-*r/`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`rec-exp` `1-exp`
4×	`un-div-inv` `insert-posit16` `div-inv` `add-log-exp`
3×	`pow-prod-down`
2×	`pow-flip`
1×	`div-sub` `inv-pow`

Counts

4 → 736

Calls

4 calls:

22.0ms	(/ 1 (* t (sqrt 2.0)))
295.0ms	(* (/ 1 (* t (sqrt 2.0))) (/ (- (+ x y) z) (sqrt 2.0)))
97.0ms	(/ (- (+ x y) z) (sqrt 2.0))
9.0ms	(* t (sqrt 2.0))

series448.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ 1 (* t (sqrt 2.0)))
236.0ms	(* (/ 1 (* t (sqrt 2.0))) (/ (- (+ x y) z) (sqrt 2.0)))
107.0ms	(/ (- (+ x y) z) (sqrt 2.0))
51.0ms	(* t (sqrt 2.0))

simplify1.8s

Counts

748 → 748

Iterations

Iter	Nodes
done	5002
1	2914
0	730

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (sqrt (sqrt 2.0)))
0.3b	(/ (- (+ y x) z) (sqrt (sqrt 2.0)))
0.3b	(/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0))))
0.7b	(/ (/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0)))) (sqrt 2.0))

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

25066×	`times-frac`
17928×	`sqrt-prod`
16600×	`*-un-lft-identity`
14992×	`add-sqr-sqrt`
9250×	`add-cube-cbrt`
4203×	`associate-r`
2940×	`distribute-lft-out--`
1470×	`distribute-lft-out` `difference-of-squares`
1401×	`associate-l` `unswap-sqr`
1298×	`associate-/l*`
467×	`*-commutative`
172×	`div-inv`
147×	`associate-/l/`
73×	`associate-/r*`
38×	`add-cbrt-cube` `add-exp-log`
18×	`cbrt-undiv` `div-exp`
6×	`pow1` `clear-num` `frac-2neg` `div-sub`
5×	`prod-exp` `cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`flip3--` `flip--`
1×	`pow-prod-down`

Counts

4 → 9667

Calls

4 calls:

14.0ms	(* t (sqrt (sqrt 2.0)))
125.0ms	(/ (- (+ y x) z) (sqrt (sqrt 2.0)))
236.0ms	(/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0))))
663.0ms	(/ (/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0)))) (sqrt 2.0))

series793.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* t (sqrt (sqrt 2.0)))
232.0ms	(/ (- (+ y x) z) (sqrt (sqrt 2.0)))
145.0ms	(/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0))))
307.0ms	(/ (/ (/ (- (+ y x) z) (sqrt (sqrt 2.0))) (* t (sqrt (sqrt 2.0)))) (sqrt 2.0))

simplify9.8s

Counts

9679 → 9679

Iterations

Iter	Nodes
done	5001
0	4847

prune29.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes397.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s

10946×

body

valid