Details

sample84.0ms

Algorithm

intervals

Results

34.0ms	57×	body	1280	valid
15.0ms	37×	body	640	valid
12.0ms	133×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	14×	body	160	valid

simplify1.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (sin 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	(* z (cos y))
10.0ms	(* x (sin y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(+ (* x (sin y)) (* z (cos y)))
52.0ms	(* z (cos y))
49.0ms	(* x (sin y))

simplify167.0ms

Counts: 56 → 56

prune159.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))

rewrite21.0ms

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:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series649.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
161.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))
109.0ms	(cbrt (cos y))

simplify70.0ms

Counts: 85 → 85

prune375.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)

rewrite52.0ms

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:

42.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))
4.0ms	(pow (cos y) 2)

series448.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
257.0ms	(cbrt (pow (cos y) 2))
121.0ms	(cbrt (cos y))
18.0ms	(pow (cos y) 2)

simplify147.0ms

Counts: 78 → 78

prune318.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)

rewrite20.0ms

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))
2.0ms	(cbrt (cos y))
9.0ms	(pow (cos y) 2)

series596.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(log (exp (cbrt (cos y))))
257.0ms	(cbrt (pow (cos y) 2))
152.0ms	(cbrt (cos y))
19.0ms	(pow (cos y) 2)

simplify55.0ms

Counts: 75 → 75

prune447.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

2.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify128.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.0s	1560×	body	1280	valid
724.0ms	1232×	body	640	valid
624.0ms	4303×	body	80	valid
292.0ms	586×	body	320	valid
74.0ms	319×	body	160	valid