Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	250×	body	80	valid
4.0ms	16×	body	1280	valid
3.0ms	15×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	5×	body	160	valid

simplify2.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	3818
5	978
4	326
3	116
2	45
1	20
0	11

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.1b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
2.4b	(fma (/ (- y z) (- a z)) (- t x) x)

rewrite31.0ms

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/` `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 → 64

Calls

2 calls:

28.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series272.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (- y z) (- a z))
181.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify2.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4622
2	860
1	271
0	116

prune566.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.9b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.6b	(/ 1 (/ (- a z) (- y z)))
2.4b	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

rewrite104.0ms

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` `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 → 214

Calls

3 calls:

38.0ms	(/ (- a z) (- y z))
45.0ms	(/ 1 (/ (- a z) (- y z)))
1.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

series476.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (- a z) (- y z))
195.0ms	(/ 1 (/ (- a z) (- y z)))
194.0ms	(fma (/ 1 (/ (- a z) (- y z))) (- t x) x)

simplify2.4s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4095
1	713
0	273

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
1.4b	(+ (/ (- t x) (/ (- a z) (- y z))) x)
2.4b	(/ (- t x) (/ (- a z) (- y z)))

rewrite310.0ms

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` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

35.0ms	(/ (- a z) (- y z))
196.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
36.0ms	(/ (- t x) (/ (- a z) (- y z)))

series737.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (- a z) (- y z))
272.0ms	(+ (/ (- t x) (/ (- a z) (- y z))) x)
397.0ms	(/ (- t x) (/ (- a z) (- y z)))

simplify1.2s

Counts

449 → 449

Iterations

Iter	Nodes
done	5001
1	1165
0	360

prune2.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- y z))
2.0b	(/ x (/ (- a z) (- y z)))
2.1b	(/ t (/ (- a z) (- y z)))
2.4b	(- (/ x (/ (- a z) (- y z))) x)

rewrite354.0ms

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` `log1p-expm1-u`
3×	`clear-num` `frac-2neg`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 752

Calls

4 calls:

19.0ms	(/ (- a z) (- y z))
21.0ms	(/ x (/ (- a z) (- y z)))
33.0ms	(/ t (/ (- a z) (- y z)))
223.0ms	(- (/ x (/ (- a z) (- y z))) x)

series862.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (- a z) (- y z))
274.0ms	(/ x (/ (- a z) (- y z)))
244.0ms	(/ t (/ (- a z) (- y z)))
253.0ms	(- (/ x (/ (- a z) (- y z))) x)

simplify1.8s

Counts

764 → 764

Iterations

Iter	Nodes
done	5000
1	1779
0	676

prune4.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.6b

regimes874.0ms

Accuracy

0% (3.9b remaining)

Error of 7.3b against oracle of 3.4b and baseline of 7.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
0	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.0s	7893×	body	80	valid
122.0ms	428×	body	640	valid
100.0ms	376×	body	320	valid
87.0ms	322×	body	1280	valid
55.0ms	260×	body	160	valid
9.0ms	19×	body	2560	valid