Details

sample62.0ms

Algorithm

intervals

Results

17.0ms	257×	body	80	valid
14.0ms	258×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	1080
3	208
2	63
1	21
0	10

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

9.0ms	(- x (* (+ y 0.5) (log y)))
36.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
33.0ms	(* (+ y 0.5) (log y))

series475.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(- x (* (+ y 0.5) (log y)))
61.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
366.0ms	(* (+ y 0.5) (log y))

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1820
1	425
0	155

prune662.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (fma (log y) (+ y 0.5) (- y)))
0.1b	(fma (log y) (+ y 0.5) (- y))

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` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 39

Calls

2 calls:

11.0ms	(- x (fma (log y) (+ y 0.5) (- y)))
1.0ms	(fma (log y) (+ y 0.5) (- y))

series496.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (fma (log y) (+ y 0.5) (- y)))
449.0ms	(fma (log y) (+ y 0.5) (- y))

simplify724.0ms

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	817
1	219
0	96

prune301.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
0.1b	(fma (+ y 0.5) (log y) y)
0.2b	(* (log y) (+ y 0.5))
6.3b	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
7×	`pow1` `add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `associate-l` `fma-udef` `log1p-expm1-u`
3×	`fma-def`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `associate-+l+` `associate-+r+` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

7.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
0.0ms	(fma (+ y 0.5) (log y) y)
25.0ms	(* (log y) (+ y 0.5))
0.0ms	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (fma 1 x (- (* (log y) (+ y 0.5)))) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
365.0ms	(fma (+ y 0.5) (log y) y)
294.0ms	(* (log y) (+ y 0.5))
560.0ms	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

simplify1.2s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
2	1717
1	355
0	129

prune492.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1 x) (fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))))
0.1b	(fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
0.1b	(fma (+ y 0.5) (log y) y)
6.3b	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 46

Calls

4 calls:

6.0ms	(+ (* 1 x) (fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))))
0.0ms	(fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
0.0ms	(fma (+ y 0.5) (log y) y)
1.0ms	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

series2.3s

Counts

4 → 12

Calls

4 calls:

86.0ms	(+ (* 1 x) (fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))))
1.2s	(fma (+ y 0.5) (- (log y)) (fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y)))
386.0ms	(fma (+ y 0.5) (log y) y)
617.0ms	(fma (- (log y)) (+ y 0.5) (fma (+ y 0.5) (log y) y))

simplify536.0ms

Counts

58 → 58

Iterations

Iter	Nodes
done	5001
2	950
1	260
0	101

prune359.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes173.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	29
3	29
2	27
1	25
0	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

862.0ms	8040×	body	80	valid
445.0ms	7802×	body	80	nan
0.0ms	1×	body	640	valid