Details

sample56.0ms

Algorithm

intervals

Results

34.0ms

268×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	4050
12	4050
11	4026
10	3894
9	3265
8	2444
7	1713
6	1189
5	604
4	234
3	108
2	58
1	25
0	12

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (- (+ t 1.0) z))
0.8b	(fma (- z y) (/ a (- (+ t 1.0) z)) x)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
18×	`times-frac`
13×	`add-cube-cbrt`
8×	`distribute-lft-out--`
6×	`associate-/r*`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `difference-of-squares`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 55

Calls

2 calls:

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

series230.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ a (- (+ t 1.0) z))
155.0ms	(fma (- z y) (/ a (- (+ t 1.0) z)) x)

simplify2.1s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	2159
2	625
1	225
0	106

prune484.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize35.0ms

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)
7.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite303.0ms

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:

114.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
86.0ms	(/ (+ (- t z) 1.0) a)
72.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series523.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
74.0ms	(/ (+ (- t z) 1.0) a)
265.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify2.9s

Counts

513 → 513

Iterations

Iter	Nodes
done	5001
1	1935
0	664

prune2.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
2.4b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 129

Calls

3 calls:

9.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
63.0ms	(/ (- y z) (+ (- t z) 1.0))
66.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series481.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
91.0ms	(/ (- y z) (+ (- t z) 1.0))
218.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.6s

Counts

138 → 138

Iterations

Iter	Nodes
done	5000
2	1665
1	484
0	187

prune951.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
0.0b	(/ (+ (- t z) 1.0) a)
0.4b	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
7.1b	(/ (/ (+ (- t z) 1.0) a) (- y z))

rewrite557.0ms

Algorithm

rewrite-expression-head

Rules

3634×	`times-frac`
3275×	`*-un-lft-identity`
2207×	`add-sqr-sqrt`
1650×	`add-cube-cbrt`
924×	`prod-diff`
486×	`distribute-lft-out--`
434×	`distribute-lft-out`
274×	`difference-of-squares`
109×	`associate-/r*`
91×	`div-inv`
32×	`add-exp-log` `associate-/r/`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
15×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `fma-neg` `1-exp` `div-sub` `associate-/l/`
2×	`associate-+l-`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 1567

Calls

4 calls:

137.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
93.0ms	(/ (+ (- t z) 1.0) a)
69.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
104.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

series706.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z))))
66.0ms	(/ (+ (- t z) 1.0) a)
234.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) a) (- y z)))
166.0ms	(/ (/ (+ (- t z) 1.0) a) (- y z))

simplify4.0s

Counts

1579 → 1579

Iterations

Iter	Nodes
done	5000
0	1879

prune10.5s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes433.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

987.0ms	8480×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid