Details

sample128.0ms

Algorithm

intervals

Results

31.0ms	298×	body	80	valid
26.0ms	293×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	4493
4	1075
3	279
2	88
1	30
0	15

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (fma b (- a 0.5) x) y)
0.1b	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

12.0ms	(- 1 (log t))
5.0ms	(+ (fma b (- a 0.5) x) y)
0.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

series577.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(- 1 (log t))
51.0ms	(+ (fma b (- a 0.5) x) y)
342.0ms	(fma (- 1 (log t)) z (+ (fma b (- a 0.5) x) y))

simplify700.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	918
1	286
0	127

prune464.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1 (log t))
0.1b	(fma (- 1 (log t)) z (* 1 (fma (- a 0.5) b (+ y x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

14.0ms	(- 1 (log t))
1.0ms	(fma (- 1 (log t)) z (* 1 (fma (- a 0.5) b (+ y x))))

series559.0ms

Counts

2 → 6

Calls

2 calls:

194.0ms	(- 1 (log t))
365.0ms	(fma (- 1 (log t)) z (* 1 (fma (- a 0.5) b (+ y x))))

simplify864.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	722
1	220
0	104

prune375.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (* (- 1 (log t)) z) (* 1 (fma (- a 0.5) b (+ y x))))
0.3b	(* (- 1 (log t)) z)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

7.0ms	(- 1 (log t))
14.0ms	(+ (* (- 1 (log t)) z) (* 1 (fma (- a 0.5) b (+ y x))))
28.0ms	(* (- 1 (log t)) z)

series681.0ms

Counts

3 → 9

Calls

3 calls:

181.0ms	(- 1 (log t))
376.0ms	(+ (* (- 1 (log t)) z) (* 1 (fma (- a 0.5) b (+ y x))))
124.0ms	(* (- 1 (log t)) z)

simplify2.0s

Counts

87 → 87

Iterations

Iter	Nodes
done	5002
2	1998
1	378
0	150

prune701.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (fma (- a 0.5) b (* z (- 1 (log t)))) (* (+ y x) 1))
0.0b	(fma (- a 0.5) b (* z (- 1 (log t))))
0.0b	(- 1 (log t))
0.3b	(* z (- 1 (log t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
30×	`add-cube-cbrt`
17×	`pow1`
14×	`distribute-rgt-in` `distribute-lft-in`
11×	`log-pow`
7×	`associate-r` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `sub-neg` `fma-def` `fma-neg` `associate-l` `associate--r+`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

11.0ms	(+ (fma (- a 0.5) b (* z (- 1 (log t)))) (* (+ y x) 1))
0.0ms	(fma (- a 0.5) b (* z (- 1 (log t))))
14.0ms	(- 1 (log t))
47.0ms	(* z (- 1 (log t)))

series606.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(+ (fma (- a 0.5) b (* z (- 1 (log t)))) (* (+ y x) 1))
92.0ms	(fma (- a 0.5) b (* z (- 1 (log t))))
201.0ms	(- 1 (log t))
67.0ms	(* z (- 1 (log t)))

simplify1.8s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	2089
1	474
0	191

prune708.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
2	23
1	22
0	16

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.3s	9160×	body	80	valid
1.0s	9089×	body	80	nan
1.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid