Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	239×	body	80	valid
3.0ms	16×	body	640	valid
3.0ms	10×	body	1280	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1890
5	788
4	299
3	108
2	43
1	20
0	11

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
4.2b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-cbrt-cube` `add-exp-log`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `fma-udef` `div-inv`

Counts

2 → 66

Calls

2 calls:

50.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series350.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(/ (- z t) (- a t))
252.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify2.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5001
3	2168
2	680
1	274
0	118

prune493.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(* (/ (- z t) (- a t)) (- y x))
3.6b	(+ (* (/ (- z t) (- a t)) (- y x)) x)

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
97×	`*-un-lft-identity`
51×	`times-frac` `add-cube-cbrt`
36×	`prod-diff`
31×	`associate-l`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-r` `flip--` `associate-/l` `add-log-exp`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+`

Counts

3 → 173

Calls

3 calls:

36.0ms	(/ (- z t) (- a t))
102.0ms	(* (/ (- z t) (- a t)) (- y x))
68.0ms	(+ (* (/ (- z t) (- a t)) (- y x)) x)

series1.4s

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ (- z t) (- a t))
569.0ms	(* (/ (- z t) (- a t)) (- y x))
717.0ms	(+ (* (/ (- z t) (- a t)) (- y x)) x)

simplify2.4s

Counts

182 → 182

Iterations

Iter	Nodes
done	5002
2	2218
1	718
0	258

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
4.2b	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`div-sub` `fma-udef` `pow-flip` `inv-pow`

Counts

3 → 217

Calls

3 calls:

27.0ms	(/ (- a t) (- z t))
39.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

series498.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- a t) (- z t))
220.0ms	(/ 1 (/ (- a t) (- z t)))
210.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

simplify2.1s

Counts

226 → 226

Iterations

Iter	Nodes
done	5008
2	2165
1	712
0	276

prune898.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.2b	(/ (- y x) (/ (- a t) (- z t)))
3.6b	(+ (/ (- y x) (/ (- a t) (- z t))) x)

rewrite389.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `div-inv` `flip--`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 443

Calls

3 calls:

44.0ms	(/ (- a t) (- z t))
42.0ms	(/ (- y x) (/ (- a t) (- z t)))
255.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)

series671.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a t) (- z t))
362.0ms	(/ (- y x) (/ (- a t) (- z t)))
253.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)

simplify2.4s

Counts

452 → 452

Iterations

Iter	Nodes
done	5000
2	3931
1	1162
0	363

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.3b

regimes627.0ms

Accuracy

26.7% (6.1b remaining)

Error of 9.6b against oracle of 3.5b and baseline of 11.8b

bsearch94.0ms

Steps

Iters	Range		Point
3	8.567926291693288e+181	1.0907879695141896e+182	1.0176644256564205e+182
6	-7.220597984010512e+206	-9.710396770569548e+205	-9.893165067116318e+205

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	23

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	7718×	body	80	valid
132.0ms	417×	body	320	valid
99.0ms	500×	body	640	valid
65.0ms	258×	body	1280	valid
25.0ms	262×	body	160	valid
4.0ms	14×	body	2560	valid