Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
12.0ms	173×	body	80	valid
9.0ms	27×	body	640	valid
4.0ms	20×	body	320	valid
1.0ms	8×	body	160	valid

simplify27.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

14.0ms	(+ x (sin y))
66.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series151.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (sin y))
57.0ms	(+ (+ x (sin y)) (* z (cos y)))
58.0ms	(* z (cos y))

simplify1.3s

Counts: 52 → 52

prune180.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series758.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
175.0ms	(cbrt (cos y))
147.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))

simplify1.1s

Counts: 85 → 85

prune447.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite118.0ms

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`
9×	`pow-exp` `add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 88

Calls

4 calls:

41.0ms	(* z (pow (pow (cos y) 2) (/ 1 3)))
65.0ms	(* (* z (pow (pow (cos y) 2) (/ 1 3))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series360.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* z (pow (pow (cos y) 2) (/ 1 3)))
62.0ms	(* (* z (pow (pow (cos y) 2) (/ 1 3))) (cbrt (cos y)))
31.0ms	(pow (cos y) 2)
133.0ms	(cbrt (cos y))

simplify817.0ms

Counts: 100 → 100

prune510.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))

rewrite134.0ms

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:

54.0ms	(* z (* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y))))
63.0ms	(* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series264.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y))))
8.0ms	(* (pow (pow (cos y) 2) (/ 1 3)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
171.0ms	(cbrt (cos y))

simplify690.0ms

Counts: 106 → 106

prune482.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0s

end0.0ms

sample3.1s

Algorithm

intervals

Results

917.0ms	973×	body	1280	valid
899.0ms	805×	body	640	valid
653.0ms	5643×	body	80	valid
155.0ms	386×	body	320	valid
40.0ms	192×	body	160	valid
1.0ms	1×	body	2560	valid