Details

sample120.0ms

Algorithm

intervals

Results

41.0ms	46×	body	1280	valid
26.0ms	45×	body	640	valid
18.0ms	144×	body	80	valid
6.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

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×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

15.0ms	(- (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
14.0ms	(* z (sin y))

series234.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (* x (cos y)) (* z (sin y)))
65.0ms	(* x (cos y))
75.0ms	(* z (sin y))

simplify1.8s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	2577
2	566
1	180
0	80

prune372.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(* (cbrt x) (cbrt x))

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:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(* (cbrt x) (cbrt x))

series1.2s

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt x)
252.0ms	(cbrt x)
280.0ms	(cbrt x)
328.0ms	(* (cbrt x) (cbrt x))

simplify1.4s

Counts

85 → 85

Iterations

Iter	Nodes
done	5001
2	723
1	138
0	61

prune517.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))
0.6b	(cbrt (* x (cos y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

32.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
3.0ms	(cbrt (* x (cos y)))
4.0ms	(cbrt (* x (cos y)))
3.0ms	(cbrt (* x (cos y)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (* x (cos y))) (cbrt (* x (cos y))))
212.0ms	(cbrt (* x (cos y)))
165.0ms	(cbrt (* x (cos y)))
194.0ms	(cbrt (* x (cos y)))

simplify1.3s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	863
1	201
0	81

prune502.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
0.2b	(* (* z (sin y)) (* z (sin y)))
33.0b	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

rewrite289.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

8.0ms	(* z (sin y))
123.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
52.0ms	(* (* z (sin y)) (* z (sin y)))
99.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

series320.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* z (sin y))
111.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
89.0ms	(* (* z (sin y)) (* z (sin y)))
72.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

simplify2.3s

Counts

148 → 148

Iterations

Iter	Nodes
done	5000
2	1922
1	334
0	114

prune481.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes439.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1527×	body	1280	valid
849.0ms	4233×	body	80	valid
781.0ms	1289×	body	640	valid
258.0ms	628×	body	320	valid
75.0ms	323×	body	160	valid