Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

269×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	184	13
5	279	13
6	431	13
7	618	13
8	918	13
9	1209	13
10	1405	13
11	1465	13
12	1476	13
done	1476	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

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)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite134.0ms

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:

60.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
36.0ms	(/ (+ (- t z) 1.0) a)
27.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series242.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
122.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify836.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (351.0ms)

Iter	Nodes	Cost
0	259	3964
1	705	3697
2	2107	3569
done	5000	3569

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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)

rewrite82.0ms

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:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
25.0ms	(/ (- y z) (+ (- t z) 1.0))
50.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series260.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
51.0ms	(/ (- y z) (+ (- t z) 1.0))
120.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.8s

Counts

123 → 123

Iterations

Useful iterations: 3 (903.0ms)

Iter	Nodes	Cost
0	168	1847
1	437	1762
2	1252	1648
3	4628	1644
done	5000	1644

prune245.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))
0.5b	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
1.5b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite168.0ms

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×	`add-exp-log` `associate-/r*`
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×	`frac-2neg` `clear-num` `associate-/l/`
1×	`associate-+l-` `sub-neg` `pow-flip` `flip3-+` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
36.0ms	(/ (+ (- t z) 1.0) (- y z))
29.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
80.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series386.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
57.0ms	(/ (+ (- t z) 1.0) (- y z))
92.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
116.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify1.0s

Counts

350 → 350

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	358	6380
1	890	5399
2	2129	5000
done	5001	4992

prune575.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.0b	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
8.6b	(* (- y z) (/ a (+ (- t z) 1.0)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
31×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--`
5×	`pow1` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `difference-of-squares`

Counts

3 → 95

Calls

3 calls:

20.0ms	(/ a (+ (- t z) 1.0))
3.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
48.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ a (+ (- t z) 1.0))
110.0ms	(- x (* (- y z) (/ a (+ (- t z) 1.0))))
67.0ms	(* (- y z) (/ a (+ (- t z) 1.0)))

simplify908.0ms

Counts

104 → 104

Iterations

Useful iterations: done (904.0ms)

Iter	Nodes	Cost
0	161	1477
1	409	1378
2	1452	1270
done	5000	1266

prune218.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes150.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample510.0ms

Algorithm

intervals

Results

271.0ms	8505×	body	80	valid
0.0ms	2×	body	320	valid