Details

sample124.0ms

Algorithm

intervals

Results

51.0ms	706×	body	80	nan
23.0ms	258×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (124.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log t) z)
0.0b	(- (fma x (log y) (- (log t) z)) y)
0.1b	(fma x (log y) (- (log t) z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
21×	`prod-diff`
19×	`add-cube-cbrt`
8×	`pow1`
7×	`fma-neg`
6×	`add-log-exp`
5×	`log-pow`
4×	`associate--l+`
3×	`add-exp-log` `expm1-log1p-u` `log-prod` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

18.0ms	(- (log t) z)
13.0ms	(- (fma x (log y) (- (log t) z)) y)
1.0ms	(fma x (log y) (- (log t) z))

series308.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (log t) z)
84.0ms	(- (fma x (log y) (- (log t) z)) y)
124.0ms	(fma x (log y) (- (log t) z))

simplify2.2s

Counts

84 → 84

Iterations

Useful iterations: 3 (998.0ms)

Iter	Nodes	Cost
0	157	1257
1	330	1037
2	729	872
3	3067	756
done	5000	756

prune336.0ms

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 x (log y) (log t)) (+ z y))
0.1b	(fma x (log y) (log t))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

38.0ms	(- (fma x (log y) (log t)) (+ z y))
1.0ms	(fma x (log y) (log t))

series170.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(- (fma x (log y) (log t)) (+ z y))
79.0ms	(fma x (log y) (log t))

simplify2.9s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	98	978
1	221	802
2	686	670
3	3344	553
done	5000	553

prune228.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (fma x (log y) (log t)) (+ z y))
0.1b	(fma x (log y) (log t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

22.0ms	(- (fma x (log y) (log t)) (+ z y))
0.0ms	(fma x (log y) (log t))

series161.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(- (fma x (log y) (log t)) (+ z y))
86.0ms	(fma x (log y) (log t))

simplify2.7s

Counts

51 → 51

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	98	978
1	221	802
2	686	670
3	3344	553
done	5000	553

prune251.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow (cbrt (fma x (log y) (log t))) 3) (+ z y))
0.1b	(fma x (log y) (log t))
0.5b	(cbrt (fma x (log y) (log t)))
0.7b	(pow (cbrt (fma x (log y) (log t))) 3)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

94×	`*-un-lft-identity`
72×	`prod-diff`
64×	`add-sqr-sqrt`
53×	`add-cube-cbrt`
41×	`cbrt-prod`
38×	`unpow-prod-down` `cube-prod`
19×	`distribute-lft-out`
18×	`fma-neg`
9×	`add-log-exp`
7×	`sqr-pow`
6×	`cube-mult` `unpow3` `difference-of-squares`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-unpow`
2×	`pow-pow` `pow1/3` `diff-log` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-exp` `sum-log` `flip--` `fma-udef` `associate--r+` `rem-cube-cbrt`

Counts

4 → 169

Calls

4 calls:

80.0ms	(- (pow (cbrt (fma x (log y) (log t))) 3) (+ z y))
0.0ms	(fma x (log y) (log t))
1.0ms	(cbrt (fma x (log y) (log t)))
5.0ms	(pow (cbrt (fma x (log y) (log t))) 3)

series678.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(- (pow (cbrt (fma x (log y) (log t))) 3) (+ z y))
76.0ms	(fma x (log y) (log t))
197.0ms	(cbrt (fma x (log y) (log t)))
309.0ms	(pow (cbrt (fma x (log y) (log t))) 3)

simplify1.7s

Counts

181 → 181

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	254	5313
1	681	3271
2	2285	2506
done	5001	2482

prune549.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes354.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	12	14
1	16	10
done	16	10

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.7s	24508×	body	80	nan
799.0ms	8025×	body	80	valid
1.0ms	1×	body	640	valid