Details

sample76.0ms

Algorithm

intervals

Results

22.0ms	32×	body	1280	valid
18.0ms	177×	body	80	valid
10.0ms	23×	body	640	valid
5.0ms	14×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

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:

54.0ms	(+ (+ x (sin y)) (* z (cos y)))
31.0ms	(+ x (sin y))
13.0ms	(* z (cos y))

series383.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ x (sin y)) (* z (cos y)))
32.0ms	(+ x (sin y))
308.0ms	(* z (cos y))

simplify48.0ms

Counts: 52 → 52

prune167.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))

rewrite25.0ms

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:

17.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series604.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
114.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))
122.0ms	(cbrt (cos y))

simplify53.0ms

Counts: 85 → 85

prune324.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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×	`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 → 66

Calls

4 calls:

46.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (cos y))
5.0ms	(pow (cos y) 2)

series422.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
215.0ms	(cbrt (pow (cos y) 2))
138.0ms	(cbrt (cos y))
30.0ms	(pow (cos y) 2)

simplify143.0ms

Counts: 78 → 78

prune263.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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×	`add-cbrt-cube` `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 → 63

Calls

4 calls:

4.0ms	(log (exp (cbrt (cos y))))
3.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))
4.0ms	(pow (cos y) 2)

series434.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(log (exp (cbrt (cos y))))
178.0ms	(cbrt (pow (cos y) 2))
125.0ms	(cbrt (cos y))
25.0ms	(pow (cos y) 2)

simplify43.0ms

Counts: 75 → 75

prune366.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify94.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

995.0ms	5580×	body	80	valid
769.0ms	1003×	body	1280	valid
367.0ms	830×	body	640	valid
98.0ms	375×	body	320	valid
39.0ms	212×	body	160	valid