Details

sample35.0ms

Algorithm

intervals

Results

12.0ms	236×	body	80	valid
4.0ms	22×	body	640	valid
2.0ms	15×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	8×	body	160	valid

simplify2.9s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.9b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(fma (/ (- z t) (- a t)) (- y x) x)

rewrite19.0ms

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:

17.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

series300.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(/ (- z t) (- a t))
207.0ms	(fma (/ (- z t) (- a t)) (- y x) x)

simplify1.9s

Counts

72 → 72

Iterations

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

prune399.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
2.1b	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

rewrite42.0ms

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:

17.0ms	(/ (- a t) (- z t))
20.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

series816.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (- a t) (- z t))
203.0ms	(/ 1 (/ (- a t) (- z t)))
531.0ms	(fma (/ 1 (/ (- a t) (- z t))) (- y x) x)

simplify1.7s

Counts

226 → 226

Iterations

Iter	Nodes
done	5008
2	2165
1	712
0	276

prune773.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(+ (/ (- y x) (/ (- a t) (- z t))) x)
2.3b	(/ (- y x) (/ (- a t) (- z t)))

rewrite142.0ms

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:

18.0ms	(/ (- a t) (- z t))
86.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)
23.0ms	(/ (- y x) (/ (- a t) (- z t)))

series608.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ (- a t) (- z t))
235.0ms	(+ (/ (- y x) (/ (- a t) (- z t))) x)
314.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify2.0s

Counts

452 → 452

Iterations

Iter	Nodes
done	5001
2	3701
1	1168
0	363

prune2.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.3b	(/ y (/ (- a t) (- z t)))
1.8b	(/ x (/ (- a t) (- z t)))
2.8b	(- (/ x (/ (- a t) (- z t))) x)

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

1086×	`times-frac`
959×	`add-sqr-sqrt`
952×	`*-un-lft-identity`
526×	`add-cube-cbrt`
294×	`prod-diff`
215×	`difference-of-squares`
213×	`distribute-lft-out--`
98×	`fma-neg`
67×	`associate-/r*`
48×	`associate-/r/`
27×	`div-inv`
23×	`flip3--` `flip--`
16×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 756

Calls

4 calls:

30.0ms	(/ (- a t) (- z t))
14.0ms	(/ y (/ (- a t) (- z t)))
16.0ms	(/ x (/ (- a t) (- z t)))
109.0ms	(- (/ x (/ (- a t) (- z t))) x)

series781.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ (- a t) (- z t))
248.0ms	(/ y (/ (- a t) (- z t)))
220.0ms	(/ x (/ (- a t) (- z t)))
244.0ms	(- (/ x (/ (- a t) (- z t))) x)

simplify1.9s

Counts

768 → 768

Iterations

Iter	Nodes
done	5000
1	1771
0	680

prune3.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.1b

regimes968.0ms

Accuracy

0% (3.9b remaining)

Error of 7.8b against oracle of 3.9b and baseline of 7.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s	7740×	body	80	valid
131.0ms	507×	body	640	valid
124.0ms	292×	body	1280	valid
79.0ms	433×	body	320	valid
60.0ms	256×	body	160	valid
8.0ms	22×	body	2560	valid