Details

sample55.0ms

Algorithm

intervals

Results

34.0ms

276×

body

valid

simplify644.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1263
5	559
4	207
3	103
2	58
1	25
0	12

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ t (- 1.0 z)))
0.1b	(fma a (/ (- z y) (+ t (- 1.0 z))) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

25.0ms	(/ (- z y) (+ t (- 1.0 z)))
0.0ms	(fma a (/ (- z y) (+ t (- 1.0 z))) x)

series232.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(/ (- z y) (+ t (- 1.0 z)))
153.0ms	(fma a (/ (- z y) (+ t (- 1.0 z))) x)

simplify658.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	2002
2	806
1	286
0	118

prune352.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
10.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `fma-neg` `div-sub` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 504

Calls

3 calls:

94.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
46.0ms	(/ (+ (- t z) 1.0) a)
38.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series400.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
55.0ms	(/ (+ (- t z) 1.0) a)
212.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.1s

Counts

513 → 513

Iterations

Iter	Nodes
done	2000
1	1935
0	664

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.6b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

4100×	`times-frac`
3786×	`*-un-lft-identity`
2452×	`add-sqr-sqrt`
1885×	`add-cube-cbrt`
1224×	`prod-diff`
543×	`distribute-lft-out--`
542×	`distribute-lft-out`
278×	`difference-of-squares`
183×	`div-inv`
112×	`associate-/r/`
54×	`flip3-+` `flip-+`
36×	`associate-/l*`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`add-cbrt-cube` `div-exp`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate-/l/`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 1781

Calls

3 calls:

88.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
34.0ms	(/ (- y z) (+ (- t z) 1.0))
68.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series429.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
85.0ms	(/ (- y z) (+ (- t z) 1.0))
204.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify2.6s

Counts

1790 → 1790

Iterations

Iter	Nodes
done	2154
0	2154

prune8.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.4b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.6b	(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

rewrite692.0ms

Algorithm

rewrite-expression-head

Rules

17798×	`times-frac`
13331×	`*-un-lft-identity`
9277×	`add-sqr-sqrt`
7571×	`add-cube-cbrt`
3837×	`prod-diff`
1643×	`distribute-lft-out--`
1642×	`distribute-lft-out`
837×	`difference-of-squares`
615×	`div-inv`
386×	`associate-/r/`
165×	`flip3--` `flip--`
106×	`associate-/l*`
100×	`add-exp-log`
78×	`div-exp`
49×	`associate-/r*`
32×	`add-cbrt-cube`
19×	`cbrt-undiv`
17×	`rec-exp` `1-exp`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-+l-` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 5512

Calls

4 calls:

95.0ms	(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
49.0ms	(/ (+ (- t z) 1.0) (- y z))
33.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
50.0ms	(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

series551.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- x (/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a)))
80.0ms	(/ (+ (- t z) 1.0) (- y z))
135.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
181.0ms	(/ (/ 1 (/ (+ (- t z) 1.0) (- y z))) (/ 1 a))

simplify8.7s

Counts

5524 → 5524

Iterations

Iter	Nodes
done	6519
0	6519

prune29.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8517×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid