Details

sample160.0ms

Algorithm

intervals

Results

76.0ms	773×	body	80	nan
17.0ms	180×	body	80	valid
13.0ms	25×	body	640	valid
9.0ms	28×	body	320	valid
9.0ms	9×	body	1280	valid
3.0ms	15×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`prod-diff`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`log-prod`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r`
2×	`log-div` `flip3--` `log-pow` `fma-udef` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `diff-log` `rem-log-exp` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

0.0ms	(fma (log (- 1.0 y)) z (* (log y) x))
5.0ms	(- (fma (log (- 1.0 y)) z (* (log y) x)) t)
7.0ms	(* (log y) x)
4.0ms	(log (- 1.0 y))

series448.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(fma (log (- 1.0 y)) z (* (log y) x))
169.0ms	(- (fma (log (- 1.0 y)) z (* (log y) x)) t)
67.0ms	(* (log y) x)
53.0ms	(log (- 1.0 y))

simplify772.0ms

Counts

94 → 94

Iterations

Iter	Nodes
done	2001
2	1036
1	437
0	194

prune515.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`prod-diff`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-neg` `associate-r` `insert-posit16` `log1p-expm1-u`
2×	`fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `associate--l+` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

8.0ms	(- (fma (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) z (* (log y) x)) t)
0.0ms	(fma (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) z (* (log y) x))
17.0ms	(* (log y) x)

series418.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(- (fma (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) z (* (log y) x)) t)
155.0ms	(fma (- (log 1.0) (fma (* (/ y 1.0) (/ y 1.0)) 1/2 (* 1.0 y))) z (* (log y) x))
91.0ms	(* (log y) x)

simplify655.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2001
2	706
1	307
0	138

prune418.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (log y)) (cbrt (log y)))
0.6b	(cbrt (log y))
0.6b	(cbrt (log y))
0.6b	(cbrt (log y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

10.0ms	(* (cbrt (log y)) (cbrt (log y)))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))
1.0ms	(cbrt (log y))

series1.4s

Counts

4 → 12

Calls

4 calls:

325.0ms	(* (cbrt (log y)) (cbrt (log y)))
332.0ms	(cbrt (log y))
363.0ms	(cbrt (log y))
339.0ms	(cbrt (log y))

simplify1.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	2007
3	1212
2	411
1	152
0	68

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
0.5b	(cbrt (* (log y) (log y)))
0.5b	(* (log y) (log y))
0.6b	(cbrt (log y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`add-exp-log`
8×	`add-cbrt-cube` `associate-l`
7×	`log-pow`
6×	`cbrt-prod` `log-prod` `swap-sqr`
5×	`associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`pow1/3` `*-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

23.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
6.0ms	(cbrt (* (log y) (log y)))
11.0ms	(* (log y) (log y))
1.0ms	(cbrt (log y))

series962.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (cbrt (* (log y) (log y))) (* (cbrt (log y)) x))
358.0ms	(cbrt (* (log y) (log y)))
186.0ms	(* (log y) (log y))
350.0ms	(cbrt (log y))

simplify606.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	2000
2	871
1	289
0	119

prune529.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.7s	23412×	body	80	nan
837.0ms	5598×	body	80	valid
518.0ms	853×	body	640	valid
433.0ms	409×	body	1280	valid
320.0ms	704×	body	320	valid
112.0ms	470×	body	160	valid