Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

314×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
57	4953
56	4873
55	4787
54	4707
53	4621
52	4541
51	4455
50	4375
49	4289
48	4209
47	4123
46	4043
45	3957
44	3877
43	3791
42	3711
41	3625
40	3545
39	3459
38	3379
37	3293
36	3213
35	3127
34	3047
33	2961
32	2881
31	2795
30	2715
29	2629
28	2549
27	2463
26	2383
25	2297
24	2217
23	2131
22	2051
21	1965
20	1883
19	1801
18	1715
17	1631
16	1529
15	1453
14	1357
13	1251
12	1108
11	757
10	223
9	129
8	101
7	78
6	62
5	58
4	51
3	34
2	20
1	13
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 11

Calls

1 calls:

14.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.6s

Counts

14 → 14

Iterations

Iter	Nodes
done	5006
3	1498
2	382
1	114
0	33

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- x 1.0) z) (* (- x 1.0) z))
0.2b	(* (* x y) (* x y))
3.2b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
26.9b	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 125

Calls

4 calls:

59.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
26.0ms	(* (* x y) (* x y))
28.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
95.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
47.0ms	(* (* x y) (* x y))
134.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
162.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify1.8s

Counts

137 → 137

Iterations

Iter	Nodes
done	5004
2	2102
1	555
0	189

prune437.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`associate--l+`
1×	`distribute-rgt-in` `add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `distribute-lft-in` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 14

Calls

1 calls:

9.0ms

(- (* x (+ y z)) z)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(- (* x (+ y z)) z)

simplify1.4s

Counts

17 → 17

Iterations

Iter	Nodes
done	5006
3	1400
2	262
1	82
0	35

prune91.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (+ y z)) z)
0.1b	(sqrt (- (* x (+ y z)) z))
0.1b	(sqrt (- (* x (+ y z)) z))
0.3b	(* (sqrt (- (* x (+ y z)) z)) (sqrt (- (* x (+ y z)) z)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate--l+` `associate-r/`
1×	`pow2` `distribute-rgt-in` `sub-neg` `rem-square-sqrt` `distribute-lft-in` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

10.0ms	(- (* x (+ y z)) z)
14.0ms	(sqrt (- (* x (+ y z)) z))
17.0ms	(sqrt (- (* x (+ y z)) z))
91.0ms	(* (sqrt (- (* x (+ y z)) z)) (sqrt (- (* x (+ y z)) z)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* x (+ y z)) z)
89.0ms	(sqrt (- (* x (+ y z)) z))
72.0ms	(sqrt (- (* x (+ y z)) z))
30.0ms	(* (sqrt (- (* x (+ y z)) z)) (sqrt (- (* x (+ y z)) z)))

simplify1.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
3	3356
2	694
1	256
0	115

prune489.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample807.0ms

Algorithm

intervals

Results

512.0ms

10176×

body

valid