Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

273×

body

valid

simplify152.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	185
11	185
10	183
9	177
8	170
7	155
6	138
5	109
4	77
3	49
2	25
1	17
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.3b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 106

Calls

2 calls:

19.0ms	(/ (- x y) (- z y))
42.0ms	(* (/ (- x y) (- z y)) t)

series169.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- x y) (- z y))
114.0ms	(* (/ (- x y) (- z y)) t)

simplify932.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	1481
1	381
0	147

prune453.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize44.0ms

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))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-div` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

5.0ms	(cbrt (- z y))
3.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))
5.0ms	(cbrt (- x y))

series772.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (- z y))
209.0ms	(cbrt (- x y))
177.0ms	(cbrt (- x y))
199.0ms	(cbrt (- x y))

simplify1.4s

Counts

80 → 80

Iterations

Iter	Nodes
done	5000
3	2181
2	633
1	243
0	118

prune525.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

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)

rewrite482.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
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 → 610

Calls

4 calls:

13.0ms	(/ x (- z y))
13.0ms	(/ y (- z y))
115.0ms	(- (/ x (- z y)) (/ y (- z y)))
281.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series358.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ x (- z y))
62.0ms	(/ y (- z y))
94.0ms	(- (/ x (- z y)) (/ y (- z y)))
161.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.0s

Counts

622 → 622

Iterations

Iter	Nodes
done	5000
2	4350
1	1337
0	593

prune3.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

3261×	`times-frac`
2482×	`add-sqr-sqrt`
2446×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1302×	`prod-diff`
414×	`difference-of-squares`
404×	`distribute-lft-out--`
155×	`div-inv`
150×	`associate-/r/`
66×	`flip3--` `flip--`
24×	`associate-/r*`
21×	`fma-neg`
19×	`add-exp-log`
17×	`associate-l`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `cbrt-undiv` `log1p-expm1-u`
3×	`associate-r` `associate-*l/`
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 → 1530

Calls

4 calls:

12.0ms	(/ x (- z y))
155.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
16.0ms	(/ 1 (/ (- z y) y))
456.0ms	(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

series417.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ x (- z y))
100.0ms	(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
65.0ms	(/ 1 (/ (- z y) y))
206.0ms	(* (- (/ x (- z y)) (/ 1 (/ (- z y) y))) t)

simplify2.3s

Counts

1542 → 1542

Iterations

Iter	Nodes
done	5000
1	3374
0	1452

prune9.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes416.0ms

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

sample753.0ms

Algorithm

intervals

Results

405.0ms

8712×

body

valid