Details

sample85.0ms

Algorithm

intervals

Results

42.0ms	50×	body	1280	valid
14.0ms	43×	body	640	valid
10.0ms	128×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	12×	body	160	valid

simplify2.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.2b	(* z (cos y))

rewrite30.0ms

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:

10.0ms	(+ (* x (sin y)) (* z (cos y)))
9.0ms	(* x (sin y))
9.0ms	(* z (cos y))

series179.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* x (sin y)) (* z (cos y)))
43.0ms	(* x (sin y))
48.0ms	(* z (cos y))

simplify66.0ms

Counts: 56 → 56

prune152.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

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

series501.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
110.0ms	(cbrt (cos y))
106.0ms	(cbrt (cos y))
112.0ms	(cbrt (cos y))

simplify103.0ms

Counts: 85 → 85

prune280.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

6.0ms	(pow (pow (cos y) 2) 1/3)
47.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
4.0ms	(pow (cos y) 2)

series362.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(pow (pow (cos y) 2) 1/3)
40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
117.0ms	(cbrt (cos y))
19.0ms	(pow (cos y) 2)

simplify46.0ms

Counts: 91 → 91

prune286.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(pow (cos y) 2)
0.8b	(log (exp (pow (cos y) 2)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-pow`
8×	`pow1` `exp-prod` `add-cbrt-cube`
7×	`prod-exp`
6×	`cbrt-prod` `unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 72

Calls

4 calls:

65.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
3.0ms	(pow (cos y) 2)
7.0ms	(log (exp (pow (cos y) 2)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* z (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
113.0ms	(cbrt (cos y))
19.0ms	(pow (cos y) 2)
19.0ms	(log (exp (pow (cos y) 2)))

simplify38.0ms

Counts: 84 → 84

prune313.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.1s

Algorithm

intervals

Results

938.0ms	1265×	body	640	valid
933.0ms	1527×	body	1280	valid
503.0ms	648×	body	320	valid
374.0ms	4226×	body	80	valid
51.0ms	334×	body	160	valid