Details

sample231.0ms

Algorithm

intervals

Results

93.0ms	857×	body	80	nan
28.0ms	290×	body	80	valid

simplify10.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	109	18
3	424	18
4	1400	18
5	3582	18
done	5000	18

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

6.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series2.1s

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (fma x (log y) z) t)
1.1s	(fma y i (fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t))))
861.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
93.0ms	(fma x (log y) z)

simplify1.4s

Counts

60 → 60

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	96	797
1	190	773
2	466	684
3	1866	669
done	5002	654

prune457.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

0.0ms	(fma y i (+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t))))
106.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
51.0ms	(* (log c) (- b 0.5))
1.0ms	(fma x (log y) z)

series2.0s

Counts

4 → 12

Calls

4 calls:

1.2s	(fma y i (+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t))))
546.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
141.0ms	(* (log c) (- b 0.5))
109.0ms	(fma x (log y) z)

simplify1.5s

Counts

122 → 122

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	239	2451
1	596	2037
2	2063	1806
done	5001	1775

prune774.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c)) (+ (+ (fma x (log y) z) t) (fma (log c) (+ (- 0.5) 0.5) a)))
0.1b	(* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c))
0.1b	(fma x (log y) z)
1.0b	(* (sqrt 0.5) (sqrt 0.5))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
22×	`pow1`
18×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-log-exp`
12×	`log-prod`
10×	`associate-r`
9×	`associate-l`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `swap-sqr` `add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sum-log`
5×	`pow-prod-up` `unswap-sqr`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u`
3×	`pow-sqr`
2×	`prod-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `pow2` `associate-+r+` `fma-def` `flip3-+` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `log-pow` `flip-+` `fma-udef`

Counts

4 → 111

Calls

4 calls:

160.0ms	(+ (* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c)) (+ (+ (fma x (log y) z) t) (fma (log c) (+ (- 0.5) 0.5) a)))
15.0ms	(* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c))
0.0ms	(fma x (log y) z)
15.0ms	(* (sqrt 0.5) (sqrt 0.5))

series1.0s

Counts

4 → 10

Calls

4 calls:

770.0ms	(+ (* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c)) (+ (+ (fma x (log y) z) t) (fma (log c) (+ (- 0.5) 0.5) a)))
152.0ms	(* (fma 1 b (- (* (sqrt 0.5) (sqrt 0.5)))) (log c))
109.0ms	(fma x (log y) z)
0.0ms	(* (sqrt 0.5) (sqrt 0.5))

simplify1.2s

Counts

121 → 121

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	196	1972
1	416	1378
2	1325	1125
done	5000	1066

prune876.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- b 0.5) (log (cbrt c)))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

29.0ms	(* (- b 0.5) (log (cbrt c)))
90.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series969.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (- b 0.5) (log (cbrt c)))
242.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
287.0ms	(cbrt c)
274.0ms	(cbrt c)

simplify2.1s

Counts

131 → 131

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	212	1942
1	577	1538
2	2168	1354
done	5001	1294

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes799.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	49
1	43	49
done	43	49

end0.0ms

sample10.7s

Algorithm

intervals

Results

3.5s	27340×	body	80	nan
1.3s	9192×	body	80	valid
2.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid