Details

sample72.0ms

Algorithm

intervals

Results

34.0ms

268×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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:

1.0ms	(fma y x (* z (- t a)))
37.0ms	(* z (- t a))
5.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series823.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(fma y x (* z (- t a)))
44.0ms	(* z (- t a))
695.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify1.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	5002
2	1098
1	337
0	164

prune643.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 21.2b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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 y x (* z (- t a)))
18.0ms	(* z (- t a))
8.0ms	(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
4.0ms	(/ (fma z (- b y) y) (fma y x (* z (- t a))))

series1.0s

Counts

4 → 12

Calls

4 calls:

84.0ms	(fma y x (* z (- t a)))
43.0ms	(* z (- t a))
713.0ms	(/ 1 (/ (fma z (- b y) y) (fma y x (* z (- t a)))))
175.0ms	(/ (fma z (- b y) y) (fma y x (* z (- t a))))

simplify1.6s

Counts

175 → 175

Iterations

Iter	Nodes
done	5001
2	2636
1	602
0	265

prune1.3s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

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:

19.0ms	(* z (- t a))
19.0ms	(/ 1 (/ (fma y x (* z (- t a))) (fma z (- b y) y)))
39.0ms	(/ 1 (/ 1 (/ (fma y x (* z (- t a))) (fma z (- b y) y))))
9.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

series1.6s

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (- t a))
277.0ms	(/ 1 (/ (fma y x (* z (- t a))) (fma z (- b y) y)))
653.0ms	(/ 1 (/ 1 (/ (fma y x (* z (- t a))) (fma z (- b y) y))))
606.0ms	(/ (fma y x (* z (- t a))) (fma z (- b y) y))

simplify1.7s

Counts

386 → 386

Iterations

Iter	Nodes
done	5000
1	1386
0	521

prune1.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.9b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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×	`associate-r` `prod-diff`
17×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`rec-exp` `1-exp`
6×	`cbrt-undiv` `associate-l` `associate-/l*`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r` `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-/r/` `un-div-inv` `*-commutative` `inv-pow`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 159

Calls

4 calls:

42.0ms	(* z (- t a))
9.0ms	(/ 1 (fma y x (* z (- t a))))
21.0ms	(/ 1 (* (fma z (- b y) y) (/ 1 (fma y x (* z (- t a))))))
13.0ms	(* (fma z (- b y) y) (/ 1 (fma y x (* z (- t a)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

59.0ms	(* z (- t a))
90.0ms	(/ 1 (fma y x (* z (- t a))))
771.0ms	(/ 1 (* (fma z (- b y) y) (/ 1 (fma y x (* z (- t a))))))
176.0ms	(* (fma z (- b y) y) (/ 1 (fma y x (* z (- t a)))))

simplify2.3s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	2745
1	558
0	235

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 10.9b

regimes1.5s

Accuracy

14.1% (10.9b remaining)

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

bsearch145.0ms

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

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

811.0ms

8428×

body

valid