Details

sample53.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
14.0ms	235×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
71	4998
70	4934
69	4856
68	4792
67	4714
66	4650
65	4572
64	4508
63	4430
62	4366
61	4288
60	4224
59	4146
58	4082
57	4004
56	3940
55	3862
54	3798
53	3720
52	3656
51	3578
50	3514
49	3436
48	3372
47	3294
46	3230
45	3152
44	3088
43	3010
42	2946
41	2868
40	2804
39	2726
38	2662
37	2584
36	2520
35	2442
34	2378
33	2300
32	2236
31	2158
30	2094
29	2016
28	1952
27	1874
26	1810
25	1732
24	1668
23	1590
22	1526
21	1448
20	1384
19	1306
18	1242
17	1164
16	1100
15	1022
14	958
13	880
12	800
11	722
10	664
9	505
8	337
7	187
6	122
5	94
4	74
3	49
2	28
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.0b	(- (* x (log y)) z)
0.2b	(* x (log y))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 95

Calls

3 calls:

59.0ms	(- (- (* x (log y)) z) y)
15.0ms	(- (* x (log y)) z)
16.0ms	(* x (log y))

series185.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (- (* x (log y)) z) y)
87.0ms	(- (* x (log y)) z)
52.0ms	(* x (log y))

simplify3.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
3	2771
2	963
1	413
0	174

prune442.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
0.2b	(* (log (sqrt y)) x)
0.2b	(* (log (sqrt y)) x)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity` `add-cube-cbrt`
16×	`associate-+r+`
14×	`pow1`
13×	`add-log-exp`
12×	`associate-l` `prod-diff`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`log-prod` `associate-r`
5×	`associate--l+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `sqrt-pow1` `pow1/2` `diff-log` `sqrt-prod`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `fma-def` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 102

Calls

4 calls:

2.0ms	(log (sqrt y))
69.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
8.0ms	(* (log (sqrt y)) x)
8.0ms	(* (log (sqrt y)) x)

series461.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(log (sqrt y))
81.0ms	(+ (* (log (sqrt y)) x) (- (- (* (log (sqrt y)) x) z) y))
159.0ms	(* (log (sqrt y)) x)
136.0ms	(* (log (sqrt y)) x)

simplify2.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	4232
2	1139
1	435
0	176

prune607.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(log (sqrt y))
0.0b	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
0.2b	(* (log (sqrt y)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1` `log-prod`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`log-pow`
8×	`add-exp-log`
6×	`add-cbrt-cube` `associate-l` `sqrt-prod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2` `associate-r`
2×	`rem-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

3.0ms	(log (sqrt y))
3.0ms	(log (sqrt y))
0.0ms	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
13.0ms	(* (log (sqrt y)) x)

series454.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(log (sqrt y))
82.0ms	(log (sqrt y))
120.0ms	(fma (log (sqrt y)) x (- (- (* (log (sqrt y)) x) z) y))
170.0ms	(* (log (sqrt y)) x)

simplify2.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
3	2189
2	680
1	246
0	112

prune390.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt y))
0.1b	(sqrt (sqrt y))
0.2b	(* (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))) x)
0.2b	(* (log (sqrt y)) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-l`
37×	`log-pow`
36×	`pow1`
33×	`sqrt-pow1`
24×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`sqrt-prod`
17×	`pow1/2`
16×	`add-cube-cbrt`
14×	`distribute-rgt-out`
10×	`distribute-lft-out`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft1-in` `pow-prod-down` `associate-l/` `distribute-rgt1-in` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `count-2` `flip-+`

Counts

4 → 120

Calls

4 calls:

3.0ms	(sqrt (sqrt y))
4.0ms	(sqrt (sqrt y))
66.0ms	(* (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))) x)
13.0ms	(* (log (sqrt y)) x)

series938.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(sqrt (sqrt y))
239.0ms	(sqrt (sqrt y))
275.0ms	(* (+ (log (sqrt (sqrt y))) (log (sqrt (sqrt y)))) x)
183.0ms	(* (log (sqrt y)) x)

simplify1.5s

Counts

132 → 132

Iterations

Iter	Nodes
done	5003
2	1269
1	452
0	196

prune714.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes196.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

698.0ms	8022×	body	80	valid
555.0ms	8211×	body	80	nan
1.0ms	1×	body	2560	valid