Details

sample86.0ms

Algorithm

intervals

Results

27.0ms	50×	body	1280	valid
15.0ms	43×	body	640	valid
13.0ms	12×	body	160	valid
10.0ms	128×	body	80	valid
5.0ms	23×	body	320	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.2b	(* z (cos y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

11.0ms	(+ (* x (sin y)) (* z (cos y)))
10.0ms	(* x (sin y))
14.0ms	(* z (cos y))

series201.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x (sin y)) (* z (cos y)))
41.0ms	(* x (sin y))
54.0ms	(* z (cos y))

simplify3.0s

Counts

56 → 56

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	82	458
1	186	430
2	458	396
3	1054	396
4	2739	396
done	5000	396

prune309.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series648.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
166.0ms	(cbrt (cos y))
127.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))

simplify6.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune358.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

19.0ms	(pow (pow (cos y) 2) 1/3)
67.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
4.0ms	(pow (cos y) 2)

series507.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(pow (pow (cos y) 2) 1/3)
49.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
139.0ms	(cbrt (cos y))
18.0ms	(pow (cos y) 2)

simplify4.6s

Counts

91 → 91

Iterations

Useful iterations: done (4.6s)

Iter	Nodes	Cost
0	124	906
1	295	739
2	899	655
3	4068	590
done	5000	582

prune420.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)
0.8b	(log (exp (pow (cos y) 2)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-pow`
8×	`pow1` `exp-prod` `add-cbrt-cube`
7×	`prod-exp`
6×	`cbrt-prod` `unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 72

Calls

4 calls:

80.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)
8.0ms	(log (exp (pow (cos y) 2)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
124.0ms	(cbrt (cos y))
20.0ms	(pow (cos y) 2)
23.0ms	(log (exp (pow (cos y) 2)))

simplify3.6s

Counts

84 → 84

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	123	855
1	255	641
2	760	562
3	3212	510
done	5001	502

prune407.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	20	19
done	20	19

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1527×	body	1280	valid
834.0ms	4226×	body	80	valid
681.0ms	1265×	body	640	valid
481.0ms	334×	body	160	valid
311.0ms	648×	body	320	valid