Details

sample37.0ms

Algorithm

intervals

Results

14.0ms

273×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	177	13
5	258	13
6	398	13
7	595	13
8	840	13
9	1061	13
10	1188	13
11	1227	13
12	1232	13
done	1232	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize12.0ms

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)
8.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite285.0ms

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-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

137.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
78.0ms	(/ (+ (- t z) 1.0) a)
58.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series331.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
43.0ms	(/ (+ (- t z) 1.0) a)
174.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	259	3964
1	692	3697
2	2204	3569
done	5000	3567

prune511.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

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))
0.9b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite189.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 114

Calls

3 calls:

5.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
50.0ms	(/ (- y z) (+ (- t z) 1.0))
130.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series322.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
55.0ms	(/ (- y z) (+ (- t z) 1.0))
145.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.8s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	168	1847
1	436	1762
2	1280	1648
3	4612	1644
done	5001	1644

prune272.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
0.0b	(/ y (+ (- t z) 1.0))
0.0b	(/ z (+ (- t z) 1.0))
0.9b	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

186×	`*-un-lft-identity`
82×	`times-frac`
56×	`add-sqr-sqrt`
44×	`distribute-lft-out--`
40×	`distribute-lft-out`
30×	`add-cube-cbrt`
22×	`associate-l`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`difference-of-squares`
6×	`pow1` `distribute-rgt-out--` `flip3-+` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

332.0ms	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
46.0ms	(/ y (+ (- t z) 1.0))
49.0ms	(/ z (+ (- t z) 1.0))
1.0s	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

series310.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0)))
38.0ms	(/ y (+ (- t z) 1.0))
52.0ms	(/ z (+ (- t z) 1.0))
127.0ms	(* (- (/ y (+ (- t z) 1.0)) (/ z (+ (- t z) 1.0))) a)

simplify1.9s

Counts

160 → 160

Iterations

Useful iterations: 3 (863.0ms)

Iter	Nodes	Cost
0	203	2600
1	455	2504
2	1237	2360
3	3633	2338
done	5001	2338

prune433.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

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

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

237.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
67.0ms	(/ (- y z) (+ (- t z) 1.0))
119.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series353.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
68.0ms	(/ (- y z) (+ (- t z) 1.0))
150.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify2.2s

Counts

554 → 554

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	627	15240
1	1834	12769
2	4576	11995
done	5000	11995

prune826.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	19
1	15	19
done	15	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

563.0ms	8511×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid