Details

sample47.0ms

Algorithm

intervals

Results

16.0ms

273×

body

valid

simplify165.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	148
10	148
9	145
8	141
7	125
6	108
5	90
4	66
3	47
2	25
1	17
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.2b	(* (/ (- x y) (- z y)) t)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 102

Calls

2 calls:

28.0ms	(/ (- x y) (- z y))
61.0ms	(* (/ (- x y) (- z y)) t)

series228.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- x y) (- z y))
153.0ms	(* (/ (- x y) (- z y)) t)

simplify2.4s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
3	3938
2	1087
1	372
0	143

prune518.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (- z y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))

series754.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (- z y))
175.0ms	(cbrt (- x y))
184.0ms	(cbrt (- x y))
217.0ms	(cbrt (- x y))

simplify1.9s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
4	2465
3	978
2	464
1	231
0	114

prune707.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(/ y (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
2.2b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 140

Calls

4 calls:

9.0ms	(/ x (- z y))
9.0ms	(/ y (- z y))
133.0ms	(- (/ x (- z y)) (/ y (- z y)))
335.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series423.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ x (- z y))
49.0ms	(/ y (- z y))
118.0ms	(- (/ x (- z y)) (/ y (- z y)))
224.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.9s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
3	4057
2	1164
1	398
0	187

prune986.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
0.3b	(/ 1 (/ (- z y) y))
2.2b	(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

rewrite611.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
172×	`add-sqr-sqrt`
136×	`*-un-lft-identity`
72×	`add-cube-cbrt`
36×	`difference-of-squares`
26×	`distribute-lft-out--`
24×	`associate-/r*`
19×	`add-exp-log`
17×	`associate-l`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`flip3--` `associate-r` `associate-*l/` `associate-/r/` `flip--`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `frac-sub`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

13.0ms	(/ x (- z y))
122.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
29.0ms	(/ 1 (/ (- z y) y))
430.0ms	(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

series449.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (- z y))
84.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
78.0ms	(/ 1 (/ (- z y) y))
246.0ms	(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

simplify1.6s

Counts

211 → 211

Iterations

Iter	Nodes
done	5036
2	2271
1	730
0	301

prune940.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes539.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	14

end0.0ms

sample908.0ms

Algorithm

intervals

Results

357.0ms

8712×

body

valid