Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

273×

body

valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b	(+ (- t z) 1.0)
0.0b	(/ (+ (- t z) 1.0) a)
11.2b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite367.0ms

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

Counts

4 → 209

Calls

4 calls:

115.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
30.0ms	(+ (- t z) 1.0)
99.0ms	(/ (+ (- t z) 1.0) a)
108.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series363.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
20.0ms	(+ (- t z) 1.0)
41.0ms	(/ (+ (- t z) 1.0) a)
181.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify936.0ms

Counts: 221 → 221

prune529.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
3.7b	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

440×	`times-frac`
399×	`*-un-lft-identity`
295×	`cbrt-prod`
264×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
59×	`distribute-lft-out--`
54×	`distribute-lft-out`
32×	`difference-of-squares`
28×	`associate-/r*`
10×	`div-inv`
9×	`add-exp-log`
8×	`cbrt-div` `associate-/l*`
6×	`add-cbrt-cube`
4×	`pow1` `flip3--` `flip--` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`associate-/l/`
1×	`frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 322

Calls

4 calls:

4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
4.0ms	(cbrt (- y z))
65.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

series871.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (- y z))
166.0ms	(cbrt (- y z))
164.0ms	(cbrt (- y z))
372.0ms	(/ (cbrt (- y z)) (/ (cbrt (+ (- t z) 1.0)) a))

simplify1.2s

Counts: 334 → 334

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))
1.2b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite274.0ms

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

Counts

4 → 131

Calls

4 calls:

31.0ms	(+ (- t z) 1.0)
6.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
69.0ms	(/ (- y z) (+ (- t z) 1.0))
160.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series446.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (- t z) 1.0)
156.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
88.0ms	(/ (- y z) (+ (- t z) 1.0))
180.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify586.0ms

Counts: 143 → 143

prune428.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- t z) 1.0)
0.0b	(- x (/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a)))
0.0b	(/ (pow (+ (- t z) 1.0) 1) a)
11.2b	(/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a))

rewrite574.0ms

Algorithm

rewrite-expression-head

Rules

351×	`times-frac`
331×	`*-un-lft-identity`
230×	`add-sqr-sqrt`
150×	`add-cube-cbrt`
111×	`unpow-prod-down`
56×	`distribute-lft-out--`
46×	`distribute-lft-out`
37×	`difference-of-squares`
34×	`associate-/r*`
23×	`sqr-pow`
19×	`add-exp-log`
14×	`associate-/l*`
11×	`add-cbrt-cube` `add-log-exp`
10×	`div-exp`
8×	`div-inv`
4×	`pow1` `cbrt-undiv`
2×	`pow-to-exp` `sub-neg` `associate-+l+` `flip3--` `frac-2neg` `diff-log` `div-sub` `pow-exp` `clear-num` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `associate-+l-` `flip3-+` `associate-/r/` `flip-+` `associate--r-`

Counts

4 → 300

Calls

4 calls:

58.0ms	(+ (- t z) 1.0)
222.0ms	(- x (/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a)))
140.0ms	(/ (pow (+ (- t z) 1.0) 1) a)
127.0ms	(/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a))

series371.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(+ (- t z) 1.0)
133.0ms	(- x (/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a)))
43.0ms	(/ (pow (+ (- t z) 1.0) 1) a)
177.0ms	(/ (- y z) (/ (pow (+ (- t z) 1.0) 1) a))

simplify1.3s

Counts: 312 → 312

prune853.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.2s

Algorithm

intervals

Results

562.0ms	8459×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid