Details

sample170.0ms

Algorithm

intervals

Results

62.0ms	812×	body	80	nan
16.0ms	32×	body	640	valid
15.0ms	177×	body	80	valid
11.0ms	11×	body	1280	valid
7.0ms	21×	body	320	valid
3.0ms	16×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
79	4987
78	4919
77	4865
76	4794
75	4744
74	4677
73	4627
72	4556
71	4502
70	4431
69	4381
68	4312
67	4262
66	4195
65	4141
64	4073
63	4023
62	3954
61	3904
60	3833
59	3779
58	3708
57	3658
56	3591
55	3541
54	3473
53	3419
52	3348
51	3298
50	3229
49	3179
48	3112
47	3058
46	2990
45	2940
44	2873
43	2823
42	2752
41	2698
40	2627
39	2577
38	2510
37	2460
36	2389
35	2335
34	2264
33	2214
32	2145
31	2095
30	2024
29	1970
28	1899
27	1849
26	1782
25	1732
24	1661
23	1607
22	1536
21	1486
20	1419
19	1369
18	1298
17	1244
16	1173
15	1123
14	1056
13	1006
12	934
11	823
10	495
9	303
8	205
7	133
6	91
5	69
4	56
3	51
2	38
1	22
0	12

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log (- 1.0 y)) z (- (* (log y) x) t))
0.0b	(- (* (log y) x) t)
0.3b	(* (log y) x)
4.7b	(log (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`pow1` `add-cube-cbrt`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`log-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`associate-r` `prod-diff`
2×	`log-div` `flip3--` `log-pow` `flip--`
1×	`sub-neg` `fma-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

0.0ms	(fma (log (- 1.0 y)) z (- (* (log y) x) t))
14.0ms	(- (* (log y) x) t)
10.0ms	(* (log y) x)
5.0ms	(log (- 1.0 y))

series453.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(fma (log (- 1.0 y)) z (- (* (log y) x) t))
97.0ms	(- (* (log y) x) t)
88.0ms	(* (log y) x)
61.0ms	(log (- 1.0 y))

simplify3.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	2622
2	930
1	395
0	173

prune589.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (- (* (log y) x) t))
0.0b	(- (* (log y) x) t)
0.3b	(* (log y) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `associate-r` `prod-diff` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

0.0ms	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (- (* (log y) x) t))
7.0ms	(- (* (log y) x) t)
7.0ms	(* (log y) x)

series407.0ms

Counts

3 → 9

Calls

3 calls:

214.0ms	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (- (* (log y) x) t))
106.0ms	(- (* (log y) x) t)
86.0ms	(* (log y) x)

simplify2.1s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	1782
2	645
1	284
0	125

prune477.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (fma (log y) x (- t)))
0.1b	(fma (log y) x (- t))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (fma (log y) x (- t)))
0.0ms	(fma (log y) x (- t))

series370.0ms

Counts

2 → 6

Calls

2 calls:

237.0ms	(fma (fma (* (/ y 1.0) (/ y 1.0)) -1/2 (- (log 1.0) (* 1.0 y))) z (fma (log y) x (- t)))
132.0ms	(fma (log y) x (- t))

simplify2.6s

Counts

26 → 26

Iterations

Iter	Nodes
done	5001
4	2759
3	789
2	285
1	127
0	65

prune334.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

15.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
5.0ms	(cbrt (* (log y) x))
5.0ms	(cbrt (* (log y) x))
6.0ms	(cbrt (* (log y) x))

series640.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (* (log y) x)) (cbrt (* (log y) x)))
145.0ms	(cbrt (* (log y) x))
133.0ms	(cbrt (* (log y) x))
159.0ms	(cbrt (* (log y) x))

simplify2.9s

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
4	4048
3	1365
2	547
1	218
0	93

prune720.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	16

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.5s	24301×	body	80	nan
1.2s	5551×	body	80	valid
408.0ms	867×	body	640	valid
373.0ms	388×	body	1280	valid
246.0ms	769×	body	320	valid
111.0ms	453×	body	160	valid