Details

sample36.0ms

Algorithm

intervals

Results

12.0ms

325×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	34	9
3	92	9
4	261	8
5	921	8
6	4701	8
done	5000	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize9.0ms

Local error

Found 1 expressions with local error:

3.1b	(* (fma z (- y 1.0) 1.0) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

13.0ms

(* (fma z (- y 1.0) 1.0) x)

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(* (fma z (- y 1.0) 1.0) x)

simplify2.4s

Counts

23 → 23

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	44	266
1	94	259
2	301	219
3	2400	219
done	5001	219

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x 1.0 (* (* x z) (- y 1.0)))
4.5b	(* (* x z) (- y 1.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

0.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
41.0ms	(* (* x z) (- y 1.0))

series127.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(fma x 1.0 (* (* x z) (- y 1.0)))
55.0ms	(* (* x z) (- y 1.0))

simplify1.6s

Counts

62 → 62

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	129	1051
1	359	884
2	2148	704
done	5000	674

prune152.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (fma z (- y 1.0) 1.0) x))
0.3b	(* (sqrt (* (fma z (- y 1.0) 1.0) x)) (sqrt (* (fma z (- y 1.0) 1.0) x)))
3.1b	(* (fma z (- y 1.0) 1.0) x)
3.1b	(* (fma z (- y 1.0) 1.0) x)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

60×	`pow1`
30×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1/2`
10×	`add-exp-log` `associate-r` `associate-l` `pow-prod-up` `add-cbrt-cube`
6×	`pow-sqr`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `swap-sqr` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 104

Calls

4 calls:

7.0ms	(sqrt (* (fma z (- y 1.0) 1.0) x))
38.0ms	(* (sqrt (* (fma z (- y 1.0) 1.0) x)) (sqrt (* (fma z (- y 1.0) 1.0) x)))
7.0ms	(* (fma z (- y 1.0) 1.0) x)
7.0ms	(* (fma z (- y 1.0) 1.0) x)

series491.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(sqrt (* (fma z (- y 1.0) 1.0) x))
188.0ms	(* (sqrt (* (fma z (- y 1.0) 1.0) x)) (sqrt (* (fma z (- y 1.0) 1.0) x)))
52.0ms	(* (fma z (- y 1.0) 1.0) x)
48.0ms	(* (fma z (- y 1.0) 1.0) x)

simplify804.0ms

Counts

116 → 116

Iterations

Useful iterations: done (800.0ms)

Iter	Nodes	Cost
0	112	1619
1	275	1251
2	1241	1094
done	5000	1037

prune346.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

87.2% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch104.0ms

Steps

Iters	Range		Point
9	6.726299759608796e-85	1.4300391605158731e-78	8.891798451741654e-79
9	-1.8410053593774747e-55	-3.7909375370054273e-62	-1.8056719246554763e-55

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	16	36
1	22	27
done	22	27

end0.0ms

sample1.2s

Algorithm

intervals

Results

838.0ms

10122×

body

valid