Details

sample78.0ms

Algorithm

intervals

Results

21.0ms	271×	body	80	valid
21.0ms	288×	body	80	nan

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	73	14
4	96	14
5	130	14
6	193	14
7	445	14
8	1118	14
9	4485	14
done	5001	14

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (/ (/ 1.0 x) 9.0))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 269

Calls

4 calls:

41.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
10.0ms	(/ y (* 3.0 (sqrt x)))
20.0ms	(/ (/ 1.0 x) 9.0)
20.0ms	(* 3.0 (sqrt x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- 1.0 (/ (/ 1.0 x) 9.0))
102.0ms	(/ y (* 3.0 (sqrt x)))
32.0ms	(/ (/ 1.0 x) 9.0)
59.0ms	(* 3.0 (sqrt x))

simplify974.0ms

Counts

281 → 281

Iterations

Useful iterations: done (961.0ms)

Iter	Nodes	Cost
0	593	8950
1	1581	8227
done	5000	6524

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 157

Calls

3 calls:

179.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
19.0ms	(/ y (* 3.0 (sqrt x)))
18.0ms	(* 3.0 (sqrt x))

series200.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
94.0ms	(/ y (* 3.0 (sqrt x)))
44.0ms	(* 3.0 (sqrt x))

simplify2.8s

Counts

166 → 166

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	322	4337
1	855	3730
2	3912	2985
done	5000	2984

prune700.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

423×	`times-frac`
242×	`add-sqr-sqrt`
238×	`add-cube-cbrt` `*-un-lft-identity`
130×	`sqrt-prod`
39×	`associate-/l*`
24×	`div-inv`
21×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`unswap-sqr`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 366

Calls

4 calls:

30.0ms	(* 3.0 (sqrt x))
13.0ms	(/ (/ 1.0 x) (sqrt 9.0))
14.0ms	(/ (/ 1.0 x) (sqrt 9.0))
14.0ms	(/ (/ 1.0 x) (sqrt 9.0))

series367.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 3.0 (sqrt x))
115.0ms	(/ (/ 1.0 x) (sqrt 9.0))
69.0ms	(/ (/ 1.0 x) (sqrt 9.0))
114.0ms	(/ (/ 1.0 x) (sqrt 9.0))

simplify1.5s

Counts

378 → 378

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	253	5364
1	605	4858
2	2689	4770
done	5002	4769

prune2.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (sqrt x))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))
0.3b	(/ (/ 1.0 x) (sqrt 9.0))
0.3b	(/ 1.0 (* x (sqrt 9.0)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

285×	`times-frac`
167×	`add-sqr-sqrt`
163×	`add-cube-cbrt` `*-un-lft-identity`
88×	`sqrt-prod`
29×	`associate-/l*`
21×	`add-exp-log` `add-cbrt-cube`
17×	`div-inv`
13×	`associate-/r*`
8×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 275

Calls

4 calls:

16.0ms	(* 3.0 (sqrt x))
21.0ms	(/ (/ 1.0 x) (sqrt 9.0))
13.0ms	(/ (/ 1.0 x) (sqrt 9.0))
10.0ms	(/ 1.0 (* x (sqrt 9.0)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 3.0 (sqrt x))
68.0ms	(/ (/ 1.0 x) (sqrt 9.0))
66.0ms	(/ (/ 1.0 x) (sqrt 9.0))
101.0ms	(/ 1.0 (* x (sqrt 9.0)))

simplify2.0s

Counts

287 → 287

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	281	3875
1	681	3517
2	3318	3437
done	5002	3434

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify18.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	45
1	38	45
2	39	45
done	39	45

end0.0ms

sample2.5s

Algorithm

intervals

Results

998.0ms	8819×	body	80	nan
800.0ms	8572×	body	80	valid