Details

sample180.0ms

Algorithm

intervals

Results

85.0ms	784×	body	80	nan
14.0ms	37×	body	640	valid
12.0ms	173×	body	80	valid
11.0ms	14×	body	1280	valid
6.0ms	21×	body	320	valid
2.0ms	14×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	12	345
1	22	320
2	38	320
3	52	320
4	60	320
5	77	320
6	112	320
7	237	320
8	769	320
done	5001	320

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.3b	(fma x (log y) (* z (log (- 1.0 y))))
6.8b	(log (- 1.0 y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

16.0ms	(* z (log (- 1.0 y)))
6.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
0.0ms	(fma x (log y) (* z (log (- 1.0 y))))
6.0ms	(log (- 1.0 y))

series409.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* z (log (- 1.0 y)))
123.0ms	(- (fma x (log y) (* z (log (- 1.0 y)))) t)
124.0ms	(fma x (log y) (* z (log (- 1.0 y))))
64.0ms	(log (- 1.0 y))

simplify1.5s

Counts

100 → 100

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	205	36389
1	490	32324
2	1555	30151
done	5001	29866

prune683.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma (log y) x (* z (- (log 1.0) (* y 1.0)))) t)
0.2b	(fma (log y) x (* z (- (log 1.0) (* y 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `fma-udef` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

11.0ms	(- (fma (log y) x (* z (- (log 1.0) (* y 1.0)))) t)
1.0ms	(fma (log y) x (* z (- (log 1.0) (* y 1.0))))

series362.0ms

Counts

2 → 6

Calls

2 calls:

244.0ms	(- (fma (log y) x (* z (- (log 1.0) (* y 1.0)))) t)
118.0ms	(fma (log y) x (* z (- (log 1.0) (* y 1.0))))

simplify2.4s

Counts

45 → 45

Iterations

Useful iterations: 3 (851.0ms)

Iter	Nodes	Cost
0	94	20827
1	212	19493
2	575	17721
3	2949	17387
done	5000	17387

prune361.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x (log y)) t)
0.3b	(* x (log y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-cbrt-cube` `associate-r` `add-exp-log` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

16.0ms	(- (* x (log y)) t)
14.0ms	(* x (log y))

series142.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (* x (log y)) t)
55.0ms	(* x (log y))

simplify3.0s

Counts

57 → 57

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	111	13054
1	254	11987
2	753	11387
3	3836	10902
done	5000	10902

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 1 expressions with local error:

0.2b	(fma x (log y) (- t))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

1.0ms

(fma x (log y) (- t))

series105.0ms

Counts

1 → 3

Calls

1 calls:

105.0ms

(fma x (log y) (- t))

simplify5.1s

Counts

13 → 13

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	31	3015
1	57	2829
2	119	2814
3	468	2759
4	4761	2608
done	5000	2608

prune86.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	455
1	16	455
done	16	455

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.5s	23912×	body	80	nan
810.0ms	5501×	body	80	valid
392.0ms	875×	body	640	valid
346.0ms	407×	body	1280	valid
219.0ms	762×	body	320	valid
103.0ms	494×	body	160	valid