Details

sample91.0ms

Algorithm

intervals

Results

29.0ms	174×	body	80	valid
21.0ms	30×	body	1280	valid
13.0ms	28×	body	640	valid
5.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid

simplify21.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

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:

63.0ms	(+ (+ x (sin y)) (* z (cos y)))
11.0ms	(+ x (sin y))
15.0ms	(* z (cos y))

series171.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(+ (+ x (sin y)) (* z (cos y)))
49.0ms	(+ x (sin y))
57.0ms	(* z (cos y))

simplify966.0ms

Counts: 52 → 52

prune131.0ms

Pruning

6 alts after pruning (5 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))

rewrite30.0ms

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:

21.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
113.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))
128.0ms	(cbrt (cos y))

simplify786.0ms

Counts: 85 → 85

prune335.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (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:

45.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (pow (cos y) 2))

series409.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
131.0ms	(cbrt (cos y))
210.0ms	(cbrt (pow (cos y) 2))

simplify2.5s

Counts: 78 → 78

prune343.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(log (exp (cbrt (cos y))))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite27.0ms

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:

13.0ms	(log (exp (cbrt (cos y))))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
4.0ms	(cbrt (pow (cos y) 2))

series527.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(log (exp (cbrt (cos y))))
28.0ms	(pow (cos y) 2)
133.0ms	(cbrt (cos y))
232.0ms	(cbrt (pow (cos y) 2))

simplify854.0ms

Counts: 75 → 75

prune275.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify22.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

876.0ms	830×	body	640	valid
791.0ms	961×	body	1280	valid
726.0ms	5642×	body	80	valid
112.0ms	377×	body	320	valid
38.0ms	190×	body	160	valid