Details

sample32.0ms

Algorithm

intervals

Results

12.0ms

279×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

208×	`*-un-lft-identity`
188×	`times-frac`
125×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
39×	`distribute-lft-out--`
36×	`distribute-lft-out`
23×	`difference-of-squares`
19×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `flip3--` `div-sub` `flip--` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `associate-/r/` `associate--r-`

Counts

2 → 154

Calls

2 calls:

122.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
54.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series342.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
210.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.2s

Counts

160 → 160

Iterations

Iter	Nodes
done	5000
2	3227
1	711
0	236

prune723.0ms

Pruning

4 alts after pruning (4 fresh and 0 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	(/ (- y z) (+ (- t z) 1.0))
1.7b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite184.0ms

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))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
123.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series389.0ms

Counts

3 → 9

Calls

3 calls:

175.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
56.0ms	(/ (- y z) (+ (- t z) 1.0))
158.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1840
1	446
0	168

prune686.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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))
0.3b	(/ 1 (/ (/ (+ (- t z) 1.0) (- y z)) a))
2.1b	(/ (/ (+ (- t z) 1.0) (- y z)) a)

rewrite530.0ms

Algorithm

rewrite-expression-head

Rules

1193×	`times-frac`
1058×	`*-un-lft-identity`
645×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
174×	`distribute-lft-out--`
172×	`distribute-lft-out`
105×	`associate-/r*`
93×	`difference-of-squares`
39×	`associate-/l*`
35×	`associate-/r/`
32×	`add-exp-log`
24×	`div-inv`
20×	`add-cbrt-cube`
19×	`div-exp`
18×	`flip3--` `flip--`
10×	`cbrt-undiv`
6×	`add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
2×	`associate-+l-`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 632

Calls

4 calls:

176.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) (- y z)) a)))
80.0ms	(/ (+ (- t z) 1.0) (- y z))
60.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) (- y z)) a))
121.0ms	(/ (/ (+ (- t z) 1.0) (- y z)) a)

series611.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(- x (/ 1 (/ (/ (+ (- t z) 1.0) (- y z)) a)))
82.0ms	(/ (+ (- t z) 1.0) (- y z))
175.0ms	(/ 1 (/ (/ (+ (- t z) 1.0) (- y z)) a))
179.0ms	(/ (/ (+ (- t z) 1.0) (- y z)) a)

simplify1.3s

Counts

644 → 644

Iterations

Iter	Nodes
done	5001
1	1905
0	650

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
0.5b	(cbrt (- y z))
3.2b	(* (* (/ (cbrt (- y z)) (+ (- t z) 1.0)) (cbrt (- y z))) (* (cbrt (- y z)) a))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-exp-log`
20×	`associate-*l/`
16×	`frac-times` `pow1` `add-cbrt-cube`
15×	`cbrt-prod` `flip3--` `flip--`
13×	`add-sqr-sqrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`pow-prod-down` `associate-*r/`
7×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`pow1/3` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 88

Calls

4 calls:

7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
7.0ms	(cbrt (- y z))
167.0ms	(* (* (/ (cbrt (- y z)) (+ (- t z) 1.0)) (cbrt (- y z))) (* (cbrt (- y z)) a))

series871.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt (- y z))
224.0ms	(cbrt (- y z))
213.0ms	(cbrt (- y z))
232.0ms	(* (* (/ (cbrt (- y z)) (+ (- t z) 1.0)) (cbrt (- y z))) (* (cbrt (- y z)) a))

simplify922.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1617
1	472
0	166

prune652.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes364.0ms

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	14
1	14
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

579.0ms	8458×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid