Details

sample119.0ms

Algorithm

intervals

Results

40.0ms	45×	body	1280	valid
26.0ms	45×	body	640	valid
15.0ms	123×	body	80	valid
12.0ms	31×	body	320	valid
3.0ms	12×	body	160	valid

simplify24.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 3 expressions with local error:

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

rewrite55.0ms

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:

18.0ms	(+ (* x (sin y)) (* z (cos y)))
19.0ms	(* x (sin y))
17.0ms	(* z (cos y))

series197.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(+ (* x (sin y)) (* z (cos y)))
41.0ms	(* x (sin y))
50.0ms	(* z (cos y))

simplify1.4s

Counts: 56 → 56

prune240.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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))

rewrite20.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series701.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
185.0ms	(cbrt (cos y))
133.0ms	(cbrt (cos y))

simplify1.2s

Counts: 85 → 85

prune361.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

47.0ms	(* z (pow (pow (cos y) 2) 1/3))
87.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series392.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* z (pow (pow (cos y) 2) 1/3))
65.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
146.0ms	(cbrt (cos y))

simplify734.0ms

Counts: 102 → 102

prune540.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `unswap-sqr`
9×	`pow-exp` `add-cbrt-cube`
7×	`pow1` `associate-r` `sqr-pow`
5×	`pow-to-exp`
4×	`cbrt-unprod` `unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 94

Calls

4 calls:

52.0ms	(* z (* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y))))
40.0ms	(* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y))))
11.0ms	(* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
146.0ms	(cbrt (cos y))

simplify708.0ms

Counts: 106 → 106

prune493.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes248.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.2s

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.3s	1520×	body	1280	valid
1.2s	1200×	body	640	valid
719.0ms	4363×	body	80	valid
187.0ms	598×	body	320	valid
68.0ms	319×	body	160	valid