Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	274×	body	80	valid
8.0ms	258×	body	80	nan

simplify111.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	24	14
2	47	14
3	75	14
4	94	14
5	115	14
6	138	14
7	169	14
8	211	14
done	211	14

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ y (* 3.0 (sqrt x)))
0.4b	(/ 1.0 (* x 9.0))

rewrite73.0ms

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

Counts

4 → 154

Calls

4 calls:

53.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms	(* 3.0 (sqrt x))
6.0ms	(/ y (* 3.0 (sqrt x)))
3.0ms	(/ 1.0 (* x 9.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
41.0ms	(* 3.0 (sqrt x))
57.0ms	(/ y (* 3.0 (sqrt x)))
21.0ms	(/ 1.0 (* x 9.0))

simplify1.1s

Counts

166 → 166

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	309	3815
1	788	3279
2	3092	2669
done	5001	2648

prune390.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

321×	`times-frac`
299×	`add-sqr-sqrt`
242×	`*-un-lft-identity`
221×	`add-cube-cbrt`
178×	`prod-diff`
131×	`associate--l+`
25×	`div-inv` `difference-of-squares`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
11×	`distribute-lft-out--`
9×	`add-log-exp`
7×	`fma-neg`
6×	`pow1` `associate-r`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `associate-/r*` `sqrt-prod` `log1p-expm1-u`
3×	`diff-log` `associate-l`
2×	`sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`associate--l-` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 327

Calls

4 calls:

200.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
6.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))
4.0ms	(/ y (* 3.0 (sqrt x)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
15.0ms	(/ (/ 1.0 x) 9.0)
37.0ms	(* 3.0 (sqrt x))
60.0ms	(/ y (* 3.0 (sqrt x)))

simplify430.0ms

Counts

339 → 339

Iterations

Useful iterations: done (417.0ms)

Iter	Nodes	Cost
0	566	10014
1	1527	9010
done	5001	8868

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
1.0b	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
1.0b	(/ (/ (sqrt 1.0) 1) (* (cbrt 9.0) (cbrt 9.0)))
59.1b	(fma (- (/ (/ (sqrt 1.0) x) (cbrt 9.0))) (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (* (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (/ (/ (sqrt 1.0) x) (cbrt 9.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
34×	`associate-/l*`
31×	`add-exp-log`
30×	`sqrt-prod`
18×	`add-cbrt-cube`
14×	`div-exp`
10×	`cbrt-undiv`
5×	`prod-exp` `div-inv`
4×	`pow1` `expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `associate-/r*`
2×	`1-exp`
1×	`fma-udef` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

5.0ms	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
5.0ms	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
10.0ms	(/ (/ (sqrt 1.0) 1) (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(fma (- (/ (/ (sqrt 1.0) x) (cbrt 9.0))) (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (* (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (/ (/ (sqrt 1.0) x) (cbrt 9.0))))

series357.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0)))
0.0ms	(/ (/ (sqrt 1.0) 1) (* (cbrt 9.0) (cbrt 9.0)))
357.0ms	(fma (- (/ (/ (sqrt 1.0) x) (cbrt 9.0))) (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (* (/ (sqrt 1.0) (* (cbrt 9.0) (cbrt 9.0))) (/ (/ (sqrt 1.0) x) (cbrt 9.0))))

simplify2.4s

Counts

142 → 142

Iterations

Useful iterations: 3 (811.0ms)

Iter	Nodes	Cost
0	183	2253
1	419	2008
2	1060	1636
3	3175	1399
done	5000	1399

prune522.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (sqrt x))
0.2b	(* 3.0 (sqrt x))
0.3b	(/ y (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))))
0.5b	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

57×	`pow1`
28×	`sqrt-pow1`
26×	`add-sqr-sqrt`
22×	`pow-prod-down`
16×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
15×	`add-exp-log` `add-cbrt-cube`
12×	`sqrt-prod`
10×	`pow1/2` `associate-l` `pow-prod-up`
6×	`pow-sqr`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `frac-2neg` `pow-plus` `sqrt-unprod` `clear-num` `associate-/r*` `rem-square-sqrt` `div-inv`

Counts

4 → 122

Calls

4 calls:

4.0ms	(* 3.0 (sqrt x))
4.0ms	(* 3.0 (sqrt x))
17.0ms	(/ y (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))))
20.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* 3.0 (sqrt x))
36.0ms	(* 3.0 (sqrt x))
219.0ms	(/ y (* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x)))))
94.0ms	(* (sqrt (* 3.0 (sqrt x))) (sqrt (* 3.0 (sqrt x))))

simplify856.0ms

Counts

134 → 134

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	182	1586
1	440	1008
2	2184	900
done	5000	887

prune293.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	25	63
1	36	61
2	41	61
3	44	61
4	46	61
done	46	61

end0.0ms

sample1.0s

Algorithm

intervals

Results

488.0ms	8525×	body	80	valid
260.0ms	8510×	body	80	nan