Details

sample44.0ms

Algorithm

intervals

Results

22.0ms

268×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	14	326
1	24	301
2	43	276
3	75	276
4	125	276
5	170	276
6	203	276
7	279	276
8	588	276
9	1738	276
done	5001	276

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (* z (- t a)))
0.0b	(* z (- t a))
21.1b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-r`
3×	`expm1-log1p-u` `associate-/r` `associate-l` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`sub-neg` `associate-*r/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 85

Calls

3 calls:

0.0ms	(fma x y (* z (- t a)))
31.0ms	(* z (- t a))
8.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series607.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(fma x y (* z (- t a)))
49.0ms	(* z (- t a))
495.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify931.0ms

Counts

94 → 94

Iterations

Useful iterations: done (916.0ms)

Iter	Nodes	Cost
0	163	28937
1	337	26457
2	1101	22903
done	5002	22773

prune694.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z (- t a)))
0.0b	(* z (- t a))
0.6b	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
20.8b	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
72×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
68×	`add-cube-cbrt`
19×	`add-exp-log`
18×	`prod-diff`
16×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*`
5×	`associate-r`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u` `add-log-exp`
3×	`associate-l`
2×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `1-exp` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `fma-udef` `pow-flip` `flip--` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

0.0ms	(fma x y (* z (- t a)))
19.0ms	(* z (- t a))
8.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
4.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

series896.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(fma x y (* z (- t a)))
57.0ms	(* z (- t a))
622.0ms	(/ 1 (/ (fma z (- b y) y) (fma x y (* z (- t a)))))
135.0ms	(/ (fma z (- b y) y) (fma x y (* z (- t a))))

simplify2.0s

Counts

175 → 175

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	264	73210
1	602	64360
2	2647	59708
done	5001	58139

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.2b	(/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
0.6b	(/ 1 (/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y))))
21.1b	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
257×	`add-sqr-sqrt`
255×	`*-un-lft-identity`
253×	`add-cube-cbrt`
62×	`add-exp-log`
60×	`associate-/r*`
43×	`div-exp`
23×	`div-inv`
22×	`add-cbrt-cube`
18×	`prod-diff`
15×	`rec-exp` `1-exp`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`cbrt-undiv`
9×	`pow1` `associate-/l*`
6×	`associate-/r/`
5×	`associate-r` `pow-flip`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l` `inv-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `remove-double-div` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 374

Calls

4 calls:

30.0ms	(* z (- t a))
13.0ms	(/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
31.0ms	(/ 1 (/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y))))
6.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

46.0ms	(* z (- t a))
201.0ms	(/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y)))
441.0ms	(/ 1 (/ 1 (/ (fma x y (* z (- t a))) (fma z (- b y) y))))
443.0ms	(/ (fma x y (* z (- t a))) (fma z (- b y) y))

simplify1.6s

Counts

386 → 386

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	521	224337
1	1386	163957
done	5000	160281

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 10.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- t a))
0.6b	(/ 1 (fma x y (* z (- t a))))
0.6b	(/ 1 (* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y)))
20.3b	(* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
47×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`add-cube-cbrt`
23×	`times-frac`
22×	`add-cbrt-cube`
20×	`div-exp`
18×	`prod-diff`
17×	`prod-exp`
16×	`associate-l`
12×	`distribute-rgt-in` `pow1` `distribute-lft-in`
10×	`rec-exp` `1-exp`
8×	`associate-r`
6×	`cbrt-undiv` `associate-/l*`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r*` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `div-inv` `pow-flip`
2×	`clear-num` `sub-neg` `frac-2neg` `associate-l/` `associate-r/` `*-commutative` `fma-udef` `inv-pow`
1×	`flip3--` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 159

Calls

4 calls:

21.0ms	(* z (- t a))
4.0ms	(/ 1 (fma x y (* z (- t a))))
19.0ms	(/ 1 (* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y)))
24.0ms	(* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y))

series852.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* z (- t a))
104.0ms	(/ 1 (fma x y (* z (- t a))))
453.0ms	(/ 1 (* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y)))
232.0ms	(* (/ 1 (fma x y (* z (- t a)))) (fma z (- b y) y))

simplify1.9s

Counts

171 → 171

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	238	57722
1	578	47227
2	2681	43211
done	5000	42647

prune883.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 10.9b

regimes1.1s

Accuracy

14.1% (10.9b remaining)

Error of 22.2b against oracle of 11.3b and baseline of 24.0b

bsearch180.0ms

Steps

Iters	Range		Point
7	1.8840177810716768e+80	7.462289629217135e+81	3.0378281840127408e+81
5	2.8547245583199655e-245	1.087352451211808e-244	5.683262740857592e-245
8	5.195485314883768e-283	4.2972084217390876e-280	4.087544577176839e-280

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	24	789
1	25	789
done	25	789

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8428×

body

valid