Details

sample37.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize19.0ms

Local error

Found 1 expressions with local error:

8.8b	(/ (+ x y) (- 1.0 (/ y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
29×	`times-frac`
13×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`associate-/r*`
5×	`distribute-lft-out--`
4×	`associate-/l*`
3×	`add-cbrt-cube` `add-exp-log`
2×	`associate-/r/` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `flip3--` `div-exp` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 52

Calls

1 calls:

31.0ms

(/ (+ x y) (- 1.0 (/ y z)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/ (+ x y) (- 1.0 (/ y z)))

simplify2.1s

Counts

55 → 55

Iterations

Iter	Nodes
done	5002
3	3469
2	712
1	214
0	97

prune266.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.5b

localize25.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (- 1.0 (/ y z)))
8.4b	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
45×	`times-frac`
41×	`*-un-lft-identity`
24×	`associate-r` `add-cube-cbrt`
15×	`add-exp-log`
14×	`difference-of-squares`
9×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`associate-/r*`
5×	`pow1`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `cbrt-undiv` `rec-exp` `flip3-+` `flip3--` `1-exp` `associate-*l/` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `distribute-lft-out` `inv-pow`

Counts

2 → 101

Calls

2 calls:

21.0ms	(/ 1 (- 1.0 (/ y z)))
81.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series133.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ 1 (- 1.0 (/ y z)))
66.0ms	(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	3263
1	377
0	147

prune594.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.5b

localize54.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
58×	`times-frac`
49×	`add-exp-log`
45×	`cbrt-prod`
42×	`associate-r`
27×	`add-cube-cbrt`
20×	`cbrt-div` `prod-exp`
18×	`add-cbrt-cube`
15×	`div-exp` `associate-l`
14×	`difference-of-squares`
10×	`flip3--` `associate-/r/` `flip--`
9×	`distribute-lft-out` `unswap-sqr`
8×	`cbrt-unprod`
7×	`cbrt-undiv` `distribute-lft-out--`
6×	`pow1`
5×	`frac-times`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

266.0ms	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
8.0ms	(cbrt (- 1.0 (/ y z)))
11.0ms	(cbrt (- 1.0 (/ y z)))
8.0ms	(cbrt (- 1.0 (/ y z)))

series1.4s

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (/ 1 (* (cbrt (- 1.0 (/ y z))) (cbrt (- 1.0 (/ y z))))) (/ (+ x y) (cbrt (- 1.0 (/ y z)))))
396.0ms	(cbrt (- 1.0 (/ y z)))
463.0ms	(cbrt (- 1.0 (/ y z)))
397.0ms	(cbrt (- 1.0 (/ y z)))

simplify2.4s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4558
1	716
0	224

prune862.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 7.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 1 (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (/ (+ x y) (cbrt (- 1.0 (/ y z))))))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))
9.1b	(cbrt (- 1.0 (/ y z)))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

141×	`add-exp-log`
68×	`prod-exp`
53×	`add-sqr-sqrt`
50×	`div-exp`
36×	`cbrt-prod`
35×	`*-un-lft-identity`
33×	`times-frac` `associate-l`
32×	`add-cbrt-cube`
23×	`add-cube-cbrt`
18×	`cbrt-unprod`
17×	`rec-exp` `1-exp`
13×	`cbrt-undiv`
12×	`difference-of-squares`
9×	`pow1`
8×	`cbrt-div`
6×	`distribute-lft-out--`
5×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
2×	`associate-/r/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 153

Calls

4 calls:

195.0ms	(* (/ 1 (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (/ (+ x y) (cbrt (- 1.0 (/ y z))))))
13.0ms	(cbrt (- 1.0 (/ y z)))
11.0ms	(cbrt (- 1.0 (/ y z)))
8.0ms	(cbrt (- 1.0 (/ y z)))

series1.6s

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (/ 1 (cbrt (- 1.0 (/ y z)))) (* (/ 1 (cbrt (- 1.0 (/ y z)))) (/ (+ x y) (cbrt (- 1.0 (/ y z))))))
443.0ms	(cbrt (- 1.0 (/ y z)))
518.0ms	(cbrt (- 1.0 (/ y z)))
405.0ms	(cbrt (- 1.0 (/ y z)))

simplify3.9s

Counts

165 → 165

Iterations

Iter	Nodes
done	5000
2	4540
1	708
0	215

prune965.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 7.5b

regimes361.0ms

Accuracy

0% (1.8b remaining)

Error of 7.4b against oracle of 5.6b and baseline of 7.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	8

end0.0ms

sample861.0ms

Algorithm

intervals

Results

436.0ms	7995×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid