Details

sample109.0ms

Algorithm

intervals

Results

38.0ms	291×	body	80	valid
37.0ms	326×	body	80	nan

simplify4.5s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

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

series514.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(- 1 (log t))
55.0ms	(fma b (- a 0.5) (+ y x))
293.0ms	(fma z (- 1 (log t)) (fma b (- a 0.5) (+ y x)))

simplify1.7s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1298
2	464
1	226
0	118

prune412.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z (- 1 (log t))) (fma b (- a 0.5) (+ y x)))
0.0b	(- 1 (log t))
0.0b	(fma b (- a 0.5) (+ y x))
0.2b	(* z (- 1 (log t)))

rewrite71.0ms

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:

19.0ms	(+ (* z (- 1 (log t))) (fma b (- a 0.5) (+ y x)))
19.0ms	(- 1 (log t))
0.0ms	(fma b (- a 0.5) (+ y x))
30.0ms	(* z (- 1 (log t)))

series575.0ms

Counts

4 → 12

Calls

4 calls:

255.0ms	(+ (* z (- 1 (log t))) (fma b (- a 0.5) (+ y x)))
220.0ms	(- 1 (log t))
53.0ms	(fma b (- a 0.5) (+ y x))
47.0ms	(* z (- 1 (log t)))

simplify2.6s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
3	3532
2	1083
1	431
0	192

prune864.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ z (* (- (log t)) z)) (fma b (- a 0.5) (+ y x)))
0.0b	(fma b (- a 0.5) (+ y x))
0.2b	(+ z (* (- (log t)) z))
0.3b	(* (- (log t)) z)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `associate-l`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`pow1` `fma-def`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-neg-out`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `sum-log` `distribute-rgt-neg-in` `insert-posit16` `log1p-expm1-u`
3×	`associate-r`
2×	`+-commutative` `flip3-+` `distribute-rgt-out` `unsub-neg` `distribute-rgt1-in` `log-pow` `associate-+l-` `flip-+` `fma-udef`
1×	`associate-+l+` `associate-+r+` `neg-mul-1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

42.0ms	(+ (+ z (* (- (log t)) z)) (fma b (- a 0.5) (+ y x)))
0.0ms	(fma b (- a 0.5) (+ y x))
5.0ms	(+ z (* (- (log t)) z))
9.0ms	(* (- (log t)) z)

series517.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(+ (+ z (* (- (log t)) z)) (fma b (- a 0.5) (+ y x)))
76.0ms	(fma b (- a 0.5) (+ y x))
73.0ms	(+ z (* (- (log t)) z))
69.0ms	(* (- (log t)) z)

simplify1.7s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1286
1	338
0	140

prune652.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
0.3b	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
15×	`prod-diff`
9×	`cbrt-prod`
8×	`pow1`
7×	`log-pow`
6×	`log-prod` `associate--r+`
5×	`pow1/3` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg`
2×	`fma-udef` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `difference-of-squares`

Counts

4 → 82

Calls

4 calls:

1.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
13.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.8s

Counts

4 → 12

Calls

4 calls:

595.0ms	(fma z (- (fma -2 (log (cbrt t)) 1) (log (cbrt t))) (fma b (- a 0.5) (+ y x)))
708.0ms	(- (fma -2 (log (cbrt t)) 1) (log (cbrt t)))
282.0ms	(cbrt t)
229.0ms	(cbrt t)

simplify2.9s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2582
2	749
1	295
0	142

prune699.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes461.0ms

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	20
1	20
0	15

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	9137×	body	80	nan
1.2s	9197×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid