Details

sample65.0ms

Algorithm

intervals

Results

18.0ms	285×	body	80	nan
17.0ms	267×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4385
8	1130
7	455
6	200
5	134
4	98
3	73
2	47
1	24
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.3b	(/ 1.0 (* x 9.0))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
56×	`prod-diff`
42×	`add-cube-cbrt`
30×	`times-frac`
23×	`associate--l+`
16×	`add-cbrt-cube` `add-exp-log`
11×	`distribute-lft-out--`
10×	`div-inv`
9×	`add-log-exp` `difference-of-squares`
6×	`pow1` `associate-r` `associate-/l*`
5×	`fma-neg`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3--` `frac-sub` `flip--` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative`

Counts

4 → 154

Calls

4 calls:

107.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
12.0ms	(/ y (* 3.0 (sqrt x)))
19.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1.0 (* x 9.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
86.0ms	(/ y (* 3.0 (sqrt x)))
42.0ms	(* 3.0 (sqrt x))
20.0ms	(/ 1.0 (* x 9.0))

simplify2.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	4174
1	812
0	309

prune968.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 0.1111111111111111 x))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
39×	`prod-diff`
31×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r`
5×	`pow1` `add-log-exp`
4×	`sqrt-prod` `div-inv`
3×	`expm1-log1p-u` `fma-neg` `associate-l` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `-commutative` `flip--` `distribute-lft-out--`

Counts

3 → 106

Calls

3 calls:

12.0ms	(- 1.0 (/ 0.1111111111111111 x))
7.0ms	(/ y (* 3.0 (sqrt x)))
12.0ms	(* 3.0 (sqrt x))

series177.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- 1.0 (/ 0.1111111111111111 x))
82.0ms	(/ y (* 3.0 (sqrt x)))
50.0ms	(* 3.0 (sqrt x))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	2649
1	660
0	267

prune620.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(/ (/ y 3.0) (sqrt x))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

819×	`times-frac`
705×	`add-sqr-sqrt`
694×	`*-un-lft-identity`
523×	`add-cube-cbrt`
431×	`prod-diff`
239×	`sqrt-prod`
88×	`difference-of-squares`
86×	`distribute-lft-out--`
47×	`div-inv`
23×	`associate--l+`
16×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `fma-neg` `div-exp`
3×	`expm1-log1p-u` `pow1` `diff-log` `log1p-expm1-u`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 600

Calls

3 calls:

189.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
6.0ms	(/ 1.0 (* x 9.0))
10.0ms	(/ (/ y 3.0) (sqrt x))

series172.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
36.0ms	(/ 1.0 (* x 9.0))
78.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.5s

Counts

609 → 609

Iterations

Iter	Nodes
done	5000
1	2398
0	899

prune3.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 1.0 9.0) (/ 1 x))
0.4b	(* (/ 1.0 9.0) (/ 1 x))
59.9b	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
50×	`times-frac` `add-exp-log`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`associate-r`
30×	`add-cbrt-cube`
29×	`associate-l`
17×	`prod-exp`
16×	`div-exp`
14×	`unswap-sqr`
10×	`pow1`
9×	`cbrt-unprod`
8×	`cbrt-undiv`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `sqrt-prod` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `*-commutative`
2×	`frac-times` `associate-l/` `associate-r/` `un-div-inv`
1×	`fma-udef`

Counts

4 → 152

Calls

4 calls:

8.0ms	(* 3.0 (sqrt x))
24.0ms	(* (/ 1.0 9.0) (/ 1 x))
18.0ms	(* (/ 1.0 9.0) (/ 1 x))
0.0ms	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 3.0 (sqrt x))
19.0ms	(* (/ 1.0 9.0) (/ 1 x))
34.0ms	(* (/ 1.0 9.0) (/ 1 x))
60.0ms	(fma (- (/ 1.0 9.0)) (/ 1 x) (* (/ 1.0 9.0) (/ 1 x)))

simplify1.6s

Counts

164 → 164

Iterations

Iter	Nodes
done	5002
2	2645
1	512
0	186

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes207.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample1.9s

Algorithm

intervals

Results

690.0ms	8665×	body	80	nan
609.0ms	8534×	body	80	valid