Details

sample37.0ms

Algorithm

intervals

Results

23.0ms

274×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
6	898
5	413
4	196
3	80
2	38
1	19
0	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
9.5b	(/ x (* (- y z) (- y t)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

63×	`prod-diff`
49×	`add-sqr-sqrt`
47×	`*-un-lft-identity`
41×	`add-cube-cbrt`
32×	`associate-/r/`
31×	`flip3--` `flip--`
20×	`frac-times`
12×	`times-frac`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `associate-l/` `associate-r/` `add-exp-log`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `insert-posit16` `log1p-expm1-u` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `associate-/r` `frac-2neg` `diff-log` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

3 → 152

Calls

3 calls:

30.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
29.0ms	(* (- y z) (- y t))
13.0ms	(/ x (* (- y z) (- y t)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
43.0ms	(* (- y z) (- y t))
86.0ms	(/ x (* (- y z) (- y t)))

simplify635.0ms

Counts

161 → 161

Iterations

Iter	Nodes
done	2002
1	800
0	314

prune636.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- y z))
0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
2.2b	(/ (/ x (- y z)) (- y t))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

753×	`times-frac`
715×	`add-sqr-sqrt`
708×	`*-un-lft-identity`
402×	`add-cube-cbrt`
333×	`prod-diff`
155×	`difference-of-squares`
153×	`distribute-lft-out--`
52×	`associate-/r/`
27×	`flip3--` `flip--`
26×	`div-inv`
24×	`associate-/l*`
10×	`associate-/r*` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 546

Calls

3 calls:

11.0ms	(/ x (- y z))
41.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
25.0ms	(/ (/ x (- y z)) (- y t))

series204.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ x (- y z))
92.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
72.0ms	(/ (/ x (- y z)) (- y t))

simplify793.0ms

Counts

555 → 555

Iterations

Iter	Nodes
done	2000
0	851

prune2.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1 (/ (- y z) x)) (- y t)))
0.0b	(/ (- y z) x)
0.5b	(/ 1 (/ (- y z) x))
2.2b	(/ (/ 1 (/ (- y z) x)) (- y t))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

3525×	`times-frac`
2555×	`add-sqr-sqrt`
2538×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
948×	`prod-diff`
460×	`difference-of-squares`
455×	`distribute-lft-out--`
94×	`div-inv`
70×	`associate-/l*`
36×	`add-exp-log`
30×	`associate-/r/`
27×	`associate-/r*`
22×	`div-exp`
20×	`add-cbrt-cube`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
3×	`clear-num` `frac-2neg` `fma-neg` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

4 → 1520

Calls

4 calls:

35.0ms	(- 1.0 (/ (/ 1 (/ (- y z) x)) (- y t)))
12.0ms	(/ (- y z) x)
11.0ms	(/ 1 (/ (- y z) x))
24.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

series378.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(- 1.0 (/ (/ 1 (/ (- y z) x)) (- y t)))
40.0ms	(/ (- y z) x)
87.0ms	(/ 1 (/ (- y z) x))
167.0ms	(/ (/ 1 (/ (- y z) x)) (- y t))

simplify1.9s

Counts

1532 → 1532

Iterations

Iter	Nodes
done	2205
0	2205

prune7.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- y z))
2.5b	(/ (- (/ x (- y t))) (- y z))
2.6b	(* (/ x (- y t)) (/ 1 (- y z)))
35.5b	(fma (- (/ x (- y t))) (/ 1 (- y z)) (* (/ x (- y t)) (/ 1 (- y z))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

462×	`times-frac`
396×	`add-sqr-sqrt`
381×	`*-un-lft-identity`
193×	`add-cube-cbrt`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
93×	`distribute-lft-out--` `difference-of-squares`
49×	`associate-/l*`
32×	`add-exp-log` `associate-/r/`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
16×	`flip3--` `div-inv` `flip--`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `neg-mul-1` `unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp`
2×	`clear-num` `frac-2neg`
1×	`neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `distribute-frac-neg` `un-div-inv` `*-commutative` `fma-udef` `pow-flip` `distribute-neg-frac` `inv-pow` `associate-/l/`

Counts

4 → 432

Calls

4 calls:

9.0ms	(/ 1 (- y z))
28.0ms	(/ (- (/ x (- y t))) (- y z))
31.0ms	(* (/ x (- y t)) (/ 1 (- y z)))
0.0ms	(fma (- (/ x (- y t))) (/ 1 (- y z)) (* (/ x (- y t)) (/ 1 (- y z))))

series362.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ 1 (- y z))
109.0ms	(/ (- (/ x (- y t))) (- y z))
82.0ms	(* (/ x (- y t)) (/ 1 (- y z)))
123.0ms	(fma (- (/ x (- y t))) (/ 1 (- y z)) (* (/ x (- y t)) (/ 1 (- y z))))

simplify854.0ms

Counts

444 → 444

Iterations

Iter	Nodes
done	2002
1	1616
0	593

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes293.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8443×

body

valid