Details

sample83.0ms

Algorithm

intervals

Results

23.0ms	28×	body	1280	valid
18.0ms	173×	body	80	valid
14.0ms	27×	body	640	valid
7.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `fma-def`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

14.0ms	(+ x (sin y))
46.0ms	(+ (+ x (sin y)) (* z (cos y)))
10.0ms	(* z (cos y))

series181.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ x (sin y))
77.0ms	(+ (+ x (sin y)) (* z (cos y)))
72.0ms	(* z (cos y))

simplify1.9s

Counts

65 → 65

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	84	495
1	208	462
2	608	420
3	2223	420
done	5001	420

prune261.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series675.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
142.0ms	(cbrt (cos y))
159.0ms	(cbrt (cos y))
169.0ms	(cbrt (cos y))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune365.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

41.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
4.0ms	(cbrt (pow (cos y) 2))

series388.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
126.0ms	(cbrt (cos y))
191.0ms	(cbrt (pow (cos y) 2))

simplify2.9s

Counts

86 → 86

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	112	763
1	238	704
2	720	610
3	3109	590
done	5001	579

prune318.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`pow1` `unpow-prod-down` `exp-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp`

Counts

4 → 71

Calls

4 calls:

4.0ms	(log (exp (cbrt (cos y))))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series444.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log (exp (cbrt (cos y))))
32.0ms	(pow (cos y) 2)
117.0ms	(cbrt (cos y))
185.0ms	(cbrt (pow (cos y) 2))

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	109	612
1	182	516
2	357	453
3	923	441
done	5000	436

prune344.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	5643×	body	80	valid
632.0ms	973×	body	1280	valid
528.0ms	805×	body	640	valid
145.0ms	386×	body	320	valid
35.0ms	192×	body	160	valid
1.0ms	1×	body	2560	valid