Details

sample122.0ms

Algorithm

intervals

Results

43.0ms	281×	body	80	valid
38.0ms	284×	body	80	nan

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2465
4	879
3	274
2	88
1	30
0	15

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 3 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-udef`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma b (- a 0.5) y)
10.0ms	(+ (fma z (- 1 (log t)) x) (fma b (- a 0.5) y))
1.0ms	(fma z (- 1 (log t)) x)

series520.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(fma b (- a 0.5) y)
346.0ms	(+ (fma z (- 1 (log t)) x) (fma b (- a 0.5) y))
121.0ms	(fma z (- 1 (log t)) x)

simplify2.6s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	3317
2	470
1	171
0	80

prune459.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-log-exp`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
7×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sum-log`
4×	`expm1-log1p-u` `fma-def` `associate-l` `insert-posit16` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-neg` `associate-r` `prod-diff`
2×	`diff-log` `associate-+l-` `fma-udef`
1×	`+-commutative` `associate-+l+` `associate-+r+` `sub-neg` `flip3-+` `flip3--` `distribute-rgt-out--` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

106.0ms	(+ (+ (- z (* (log t) z)) x) (fma b (- a 0.5) y))
0.0ms	(fma b (- a 0.5) y)
14.0ms	(* (log t) z)
17.0ms	(- z (* (log t) z))

series564.0ms

Counts

4 → 12

Calls

4 calls:

344.0ms	(+ (+ (- z (* (log t) z)) x) (fma b (- a 0.5) y))
45.0ms	(fma b (- a 0.5) y)
114.0ms	(* (log t) z)
61.0ms	(- z (* (log t) z))

simplify1.8s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	1225
1	331
0	139

prune644.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `fma-udef` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 41

Calls

3 calls:

0.0ms	(fma b (- a 0.5) x)
17.0ms	(+ (fma z (- 1 (log t)) (fma b (- a 0.5) x)) y)
1.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) x))

series555.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma b (- a 0.5) x)
318.0ms	(+ (fma z (- 1 (log t)) (fma b (- a 0.5) x)) y)
195.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) x))

simplify1.8s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1883
2	362
1	144
0	69

prune396.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- a 0.5) y)
0.0b	(- (- (* (log t) z) x) (fma b (- a 0.5) y))
0.1b	(- z (- (- (* (log t) z) x) (fma b (- a 0.5) y)))
0.3b	(* (log t) z)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

0.0ms	(fma b (- a 0.5) y)
76.0ms	(- (- (* (log t) z) x) (fma b (- a 0.5) y))
76.0ms	(- z (- (- (* (log t) z) x) (fma b (- a 0.5) y)))
7.0ms	(* (log t) z)

series719.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma b (- a 0.5) y)
317.0ms	(- (- (* (log t) z) x) (fma b (- a 0.5) y))
263.0ms	(- z (- (- (* (log t) z) x) (fma b (- a 0.5) y)))
96.0ms	(* (log t) z)

simplify2.4s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
3	3957
2	1258
1	487
0	216

prune862.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes700.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.8s	9086×	body	80	valid
1.1s	9310×	body	80	nan
1.0ms	1×	body	1280	valid
1.0ms	2×	body	320	valid