Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

270×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4036
5	902
4	255
3	105
2	58
1	25
0	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize17.0ms

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)
10.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite191.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `associate-/r/` `associate-+l-` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

81.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
56.0ms	(/ (+ (- t z) 1.0) a)
39.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series315.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
41.0ms	(/ (+ (- t z) 1.0) a)
157.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.6s

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
2	3713
1	781
0	261

prune759.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

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))
1.5b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
27×	`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×	`associate-r`
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 → 114

Calls

3 calls:

4.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
35.0ms	(/ (- y z) (+ (- t z) 1.0))
87.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series344.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
66.0ms	(/ (- y z) (+ (- t z) 1.0))
147.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.2s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1840
1	446
0	168

prune566.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
0.0b	(/ (+ (- t z) 1.0) (- y z))
0.2b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.5b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

447×	`*-un-lft-identity`
392×	`times-frac`
254×	`add-sqr-sqrt`
158×	`add-cube-cbrt`
98×	`associate-l`
82×	`distribute-lft-out` `distribute-lft-out--`
41×	`difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-r` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `associate-+l-` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 338

Calls

4 calls:

6.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
76.0ms	(/ (+ (- t z) 1.0) (- y z))
56.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
160.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series459.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
66.0ms	(/ (+ (- t z) 1.0) (- y z))
105.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
145.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify879.0ms

Counts

350 → 350

Iterations

Iter	Nodes
done	5000
1	1021
0	357

prune1.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (- (+ 1.0 t) z))
0.0b	(- x (* (- y z) (/ a (- (+ 1.0 t) z))))
10.3b	(* (- y z) (/ a (- (+ 1.0 t) z)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
46×	`add-sqr-sqrt`
37×	`times-frac`
25×	`add-cube-cbrt`
24×	`associate-r`
15×	`distribute-lft-out--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`pow1` `flip3--` `associate-l` `flip--` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/l*`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative`

Counts

3 → 102

Calls

3 calls:

29.0ms	(/ a (- (+ 1.0 t) z))
4.0ms	(- x (* (- y z) (/ a (- (+ 1.0 t) z))))
102.0ms	(* (- y z) (/ a (- (+ 1.0 t) z)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(/ a (- (+ 1.0 t) z))
139.0ms	(- x (* (- y z) (/ a (- (+ 1.0 t) z))))
83.0ms	(* (- y z) (/ a (- (+ 1.0 t) z)))

simplify1.5s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	2242
1	441
0	172

prune558.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

949.0ms	8421×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid