Details

sample29.0ms

Algorithm

intervals

Results

10.0ms

271×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5016
9	4448
8	2969
7	2063
6	1218
5	540
4	199
3	100
2	58
1	25
0	12

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- t z) 1.0)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(/ (+ (- t z) 1.0) a)
8.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

245×	`*-un-lft-identity`
203×	`times-frac`
137×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
46×	`distribute-lft-out`
44×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
10×	`associate-/l*`
8×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
3×	`div-sub`
2×	`associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `diff-log` `associate-+l-` `flip-+` `flip--`
1×	`+-commutative` `associate-/r/` `associate--r-`

Counts

4 → 209

Calls

4 calls:

44.0ms	(+ (- t z) 1.0)
118.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
67.0ms	(/ (+ (- t z) 1.0) a)
69.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series412.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- t z) 1.0)
168.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
48.0ms	(/ (+ (- t z) 1.0) a)
178.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.9s

Counts

221 → 221

Iterations

Iter	Nodes
done	5000
2	2625
1	808
0	277

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- t z) 1.0)
0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
28×	`add-cube-cbrt`
24×	`distribute-lft-out`
23×	`distribute-lft-out--`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
6×	`pow1`
5×	`associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`flip3-+` `associate-r` `flip-+`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `sub-neg` `flip3--` `diff-log` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative` `associate-+l-`

Counts

4 → 131

Calls

4 calls:

33.0ms	(+ (- t z) 1.0)
8.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
58.0ms	(/ (- y z) (+ (- t z) 1.0))
94.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series459.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (- t z) 1.0)
138.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
88.0ms	(/ (- y z) (+ (- t z) 1.0))
208.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	1479
1	466
0	181

prune713.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize40.0ms

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)))
0.8b	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite366.0ms

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:

8.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
110.0ms	(/ (+ (- t z) 1.0) (- y z))
72.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
156.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series560.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(- x (* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a))
83.0ms	(/ (+ (- t z) 1.0) (- y z))
172.0ms	(/ 1 (/ (+ (- t z) 1.0) (- y z)))
167.0ms	(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify2.6s

Counts

350 → 350

Iterations

Iter	Nodes
done	5001
2	3011
1	1008
0	357

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(/ (+ (- t z) 1.0) a)
4.3b	(/ y (/ (+ (- t z) 1.0) a))
6.5b	(/ z (/ (+ (- t z) 1.0) a))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

296×	`*-un-lft-identity`
264×	`times-frac`
136×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`distribute-lft-out`
44×	`associate-/r*`
32×	`distribute-lft-out--`
18×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
12×	`div-inv`
8×	`cbrt-undiv` `div-exp`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp` `associate-/l/`
2×	`flip3-+` `div-sub` `associate-/r/` `associate-+l-` `flip-+`

Counts

4 → 264

Calls

4 calls:

64.0ms	(/ (+ (- t z) 1.0) a)
93.0ms	(/ (+ (- t z) 1.0) a)
61.0ms	(/ y (/ (+ (- t z) 1.0) a))
55.0ms	(/ z (/ (+ (- t z) 1.0) a))

series449.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ (+ (- t z) 1.0) a)
47.0ms	(/ (+ (- t z) 1.0) a)
201.0ms	(/ y (/ (+ (- t z) 1.0) a))
159.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify1.6s

Counts

276 → 276

Iterations

Iter	Nodes
done	5002
2	2466
1	769
0	291

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes353.0ms

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	18
1	18
0	14

end0.0ms

sample980.0ms

Algorithm

intervals

Results

463.0ms	8473×	body	80	valid
0.0ms	1×	body	640	valid