Details

sample52.0ms

Algorithm

intervals

Results

15.0ms	246×	body	80	valid
4.0ms	19×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	4×	body	1280	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	11	13
1	20	13
2	45	13
3	116	12
4	326	12
5	1014	12
6	4061	12
done	5000	12

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.9b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.9b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite53.0ms

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-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

47.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series247.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ (- y z) (- a z))
188.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 3 (623.0ms)

Iter	Nodes	Cost
0	116	918
1	271	890
2	855	840
3	4496	834
done	5000	834

prune422.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.3b	(/ 1 (/ (- a z) (- y z)))
2.9b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite97.0ms

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--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

35.0ms	(/ (- a z) (- y z))
41.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series450.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a z) (- y z))
188.0ms	(/ 1 (/ (- a z) (- y z)))
199.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify2.0s

Counts

223 → 223

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	273	3782
1	713	3270
2	4060	3061
done	5002	3059

prune963.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
2.0b	(/ (- t x) (/ (- a z) (- y z)))
2.6b	(+ (/ (- t x) (/ (- a z) (- y z))) x)

rewrite361.0ms

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--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

24.0ms	(/ (- a z) (- y z))
59.0ms	(/ (- t x) (/ (- a z) (- y z)))
238.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)

series716.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(/ (- a z) (- y z))
378.0ms	(/ (- t x) (/ (- a z) (- y z)))
213.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)

simplify671.0ms

Counts

449 → 449

Iterations

Useful iterations: done (652.0ms)

Iter	Nodes	Cost
0	360	6052
1	1165	5749
done	5001	5550

prune2.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.3b	(/ t (/ (- a z) (- y z)))
1.8b	(/ x (/ (- a z) (- y z)))
2.2b	(- (/ x (/ (- a z) (- y z))) x)

rewrite544.0ms

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-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 752

Calls

4 calls:

28.0ms	(/ (- a z) (- y z))
48.0ms	(/ t (/ (- a z) (- y z)))
32.0ms	(/ x (/ (- a z) (- y z)))
316.0ms	(- (/ x (/ (- a z) (- y z))) x)

series886.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(/ (- a z) (- y z))
236.0ms	(/ t (/ (- a z) (- y z)))
299.0ms	(/ x (/ (- a z) (- y z)))
271.0ms	(- (/ x (/ (- a z) (- y z))) x)

simplify1.2s

Counts

764 → 764

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	676	19262
1	1778	16567
done	5000	14555

prune4.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.9b

regimes1.2s

Accuracy

17.5% (6.1b remaining)

Error of 9.5b against oracle of 3.5b and baseline of 10.8b

bsearch148.0ms

Steps

Iters	Range		Point
9	3.1155849420069337e+159	1.8109069530294533e+168	6.031412861798932e+165
6	-8.41609380773411e+178	-1.3592681186369971e+178	-2.524761665004105e+178

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	26	58
1	31	48
done	31	48

end0.0ms

sample1.8s

Algorithm

intervals

Results

650.0ms	7844×	body	80	valid
146.0ms	264×	body	1280	valid
133.0ms	384×	body	320	valid
112.0ms	483×	body	640	valid
55.0ms	247×	body	160	valid
6.0ms	15×	body	2560	valid