Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

270×

body

valid

simplify868.0ms

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	283	13
6	455	13
7	695	13
8	1000	13
9	1208	13
10	1260	13
done	1260	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

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)
9.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite130.0ms

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:

59.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
27.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series242.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
124.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify766.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	259	3964
1	705	3697
2	2175	3569
done	5000	3569

prune423.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))
0.5b	(* (/ (- 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))
23.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series266.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
50.0ms	(/ (- y z) (+ (- t z) 1.0))
127.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify701.0ms

Counts

123 → 123

Iterations

Useful iterations: done (698.0ms)

Iter	Nodes	Cost
0	168	1847
1	437	1762
2	1221	1648
done	5002	1644

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
3.2b	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac`
22×	`add-exp-log`
19×	`add-cube-cbrt`
14×	`add-cbrt-cube`
9×	`cbrt-undiv` `cbrt-prod` `div-exp`
7×	`div-inv`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`pow1` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-/l/`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--`

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
0.0ms	(cbrt a)
30.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series755.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt a)
178.0ms	(cbrt a)
179.0ms	(cbrt a)
210.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify594.0ms

Counts

104 → 104

Iterations

Useful iterations: done (590.0ms)

Iter	Nodes	Cost
0	191	2448
1	540	2348
2	1982	1864
done	5000	1863

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))
14.3b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

274×	`*-un-lft-identity`
253×	`times-frac`
182×	`add-sqr-sqrt`
158×	`cbrt-prod`
115×	`associate-r`
106×	`add-cube-cbrt`
49×	`add-exp-log`
48×	`distribute-lft-out`
46×	`distribute-lft-out--`
22×	`difference-of-squares`
20×	`prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp`
12×	`unswap-sqr`
10×	`associate-l` `div-inv`
8×	`cbrt-div` `cbrt-unprod`
7×	`cbrt-undiv`
6×	`pow1`
4×	`rec-exp` `1-exp` `associate-/r/` `add-log-exp`
3×	`pow1/3`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 253

Calls

4 calls:

262.0ms	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series797.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(* (/ 1 (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a)))) (/ (- y z) (cbrt (/ (+ (- t z) 1.0) a))))
153.0ms	(cbrt (/ (+ (- t z) 1.0) a))
149.0ms	(cbrt (/ (+ (- t z) 1.0) a))
346.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts

265 → 265

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	353	8033
1	999	7559
2	3723	6630
done	5000	6621

prune748.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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

sample527.0ms

Algorithm

intervals

Results

282.0ms

8489×

body

valid