Details

sample103.0ms

Algorithm

intervals

Results

35.0ms	288×	body	80	valid
33.0ms	307×	body	80	nan

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2285
4	842
3	266
2	88
1	30
0	15

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`prod-diff` `add-cube-cbrt`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 59

Calls

3 calls:

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

series607.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma b (- a 0.5) (+ y x))
262.0ms	(- 1 (log t))
279.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.8s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1275
2	461
1	226
0	118

prune436.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

60×	`prod-diff`
51×	`add-sqr-sqrt` `*-un-lft-identity`
43×	`add-cube-cbrt`
28×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
23×	`pow1`
17×	`log-pow`
7×	`associate-r` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`sub-neg`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `fma-neg` `associate-l` `associate--r+`
2×	`flip3--` `associate-*r/` `fma-udef` `flip--`
1×	`+-commutative` `associate-+r+` `sum-log` `fma-def` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 147

Calls

4 calls:

23.0ms	(+ (* z (- 1 (log t))) (fma b (- a 0.5) (+ y x)))
0.0ms	(fma b (- a 0.5) (+ y x))
7.0ms	(- 1 (log t))
33.0ms	(* z (- 1 (log t)))

series749.0ms

Counts

4 → 12

Calls

4 calls:

372.0ms	(+ (* z (- 1 (log t))) (fma b (- a 0.5) (+ y x)))
65.0ms	(fma b (- a 0.5) (+ y x))
224.0ms	(- 1 (log t))
89.0ms	(* z (- 1 (log t)))

simplify2.7s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
3	3559
2	1097
1	432
0	192

prune996.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`prod-diff` `add-cube-cbrt`
7×	`pow1`
4×	`log-pow` `add-log-exp`
3×	`expm1-log1p-u` `log-prod` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate--r+`
2×	`fma-udef` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma b (- a 0.5) (+ y x))
7.0ms	(- 1 (log t))
1.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

series601.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(fma b (- a 0.5) (+ y x))
223.0ms	(- 1 (log t))
300.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1275
2	461
1	226
0	118

prune479.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite844.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
27×	`add-log-exp`
22×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
12×	`log-prod`
10×	`sum-log` `prod-diff`
9×	`pow1` `distribute-lft-out`
8×	`associate-+l+` `add-cbrt-cube` `associate-l` `add-exp-log`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `diff-log` `associate-*l/` `flip--` `associate--r+`
5×	`fma-neg`
4×	`expm1-log1p-u` `frac-add` `insert-posit16` `log1p-expm1-u`
3×	`fma-def`
2×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `associate-+l-` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 120

Calls

4 calls:

555.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
34.0ms	(* (- a 0.5) b)
236.0ms	(- (+ (+ x y) z) (* z (log t)))
15.0ms	(* z (log t))

series390.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
58.0ms	(* (- a 0.5) b)
42.0ms	(- (+ (+ x y) z) (* z (log t)))
73.0ms	(* z (log t))

simplify2.8s

Counts

132 → 132

Iterations

Iter	Nodes
done	5002
2	2256
1	608
0	226

prune891.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	24
1	24
0	19

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	9203×	body	80	valid
1.3s	9234×	body	80	nan
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid