Details

sample77.0ms

Algorithm

intervals

Results

25.0ms	188×	body	80	valid
18.0ms	28×	body	1280	valid
12.0ms	27×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify20.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

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))

rewrite128.0ms

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:

15.0ms	(+ x (sin y))
91.0ms	(+ (+ x (sin y)) (* z (cos y)))
19.0ms	(* z (cos y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ x (sin y))
54.0ms	(+ (+ x (sin y)) (* z (cos y)))
61.0ms	(* z (cos y))

simplify1.0s

Counts: 52 → 52

prune217.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite37.0ms

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:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series819.0ms

Counts

4 → 12

Calls

4 calls:

317.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
171.0ms	(cbrt (cos y))
192.0ms	(cbrt (cos y))
139.0ms	(cbrt (cos y))

simplify933.0ms

Counts: 85 → 85

prune465.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

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:

35.0ms	(* z (pow (pow (cos y) 2) 1/3))
80.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series391.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* z (pow (pow (cos y) 2) 1/3))
58.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
152.0ms	(cbrt (cos y))

simplify685.0ms

Counts: 102 → 102

prune450.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

41.0ms	(* (pow (pow (cos y) 2) 1/3) z)
86.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series322.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (pow (pow (cos y) 2) 1/3) z)
41.0ms	(* (* (pow (pow (cos y) 2) 1/3) z) (cbrt (cos y)))
29.0ms	(pow (cos y) 2)
117.0ms	(cbrt (cos y))

simplify565.0ms

Counts: 102 → 102

prune387.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify34.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.1s	5595×	body	80	valid
997.0ms	1004×	body	1280	valid
353.0ms	793×	body	640	valid
122.0ms	389×	body	320	valid
50.0ms	219×	body	160	valid