Details

sample92.0ms

Algorithm

intervals

Results

31.0ms	46×	body	1280	valid
18.0ms	45×	body	640	valid
13.0ms	144×	body	80	valid
5.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune33.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 47

Calls

3 calls:

8.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* x (sin y))
7.0ms	(* z (cos y))

series211.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ (* x (sin y)) (* z (cos y)))
55.0ms	(* x (sin y))
47.0ms	(* z (cos y))

simplify1.9s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3257
2	685
1	194
0	81

prune388.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

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))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series659.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
152.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))
111.0ms	(cbrt (cos y))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune589.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
9×	`associate-r`
8×	`add-cbrt-cube`
7×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

55.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
15.0ms	(* (cos y) (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
167.0ms	(cbrt (cos y))
33.0ms	(* (cos y) (cos y))
268.0ms	(cbrt (* (cos y) (cos y)))

simplify1.5s

Counts

82 → 82

Iterations

Iter	Nodes
done	5002
2	1973
1	292
0	110

prune554.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (log (exp (* (cos y) (cos y)))))
0.6b	(log (exp (* (cos y) (cos y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod`
6×	`add-cbrt-cube` `add-exp-log` `log-pow` `add-log-exp`
4×	`log-prod`
3×	`swap-sqr` `associate-r` `associate-l`
2×	`sqr-cos` `exp-prod` `exp-to-pow` `pow1/3`
1×	`pow2` `pow-plus` `rem-log-exp` `exp-sum` `pow-prod-down` `prod-exp` `pow-sqr` `cos-mult` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt (cos y))
8.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (log (exp (* (cos y) (cos y)))))
8.0ms	(log (exp (* (cos y) (cos y))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (cos y))
31.0ms	(* (cos y) (cos y))
237.0ms	(cbrt (log (exp (* (cos y) (cos y)))))
24.0ms	(log (exp (* (cos y) (cos y))))

simplify1.2s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1447
1	217
0	100

prune533.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.3s	1527×	body	1280	valid
666.0ms	4239×	body	80	valid
647.0ms	1291×	body	640	valid
475.0ms	321×	body	160	valid
178.0ms	622×	body	320	valid