Details

sample40.0ms

Algorithm

intervals

Results

13.0ms	31×	body	1280	valid
10.0ms	188×	body	80	valid
5.0ms	22×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	20	9
done	20	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

3.0ms	(+ x (sin y))
4.0ms	(* z (cos y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (sin y))
41.0ms	(* z (cos y))

simplify2.0s

Counts

36 → 36

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	56	232
1	128	225
2	306	201
3	610	201
4	1080	201
5	3049	201
done	5001	201

prune92.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite11.0ms

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:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series441.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify1.6s

Counts

85 → 85

Iterations

Useful iterations: 3 (306.0ms)

Iter	Nodes	Cost
0	64	686
1	125	619
2	471	521
3	2248	499
done	5001	499

prune235.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

13.0ms	(* z (pow (pow (cos y) 2) 1/3))
19.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series243.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(* z (pow (pow (cos y) 2) 1/3))
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify679.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	133	1081
1	324	889
2	1298	792
done	5001	792

prune314.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-exp-log`
55×	`prod-exp`
46×	`pow-exp`
24×	`pow-to-exp`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`add-cbrt-cube`
6×	`pow1` `pow-unpow`
4×	`add-log-exp` `sqr-pow`
3×	`cbrt-prod` `cbrt-unprod` `unpow2`
2×	`pow-pow`
1×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 100

Calls

4 calls:

25.0ms	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
1.0ms	(pow (cos y) 2)
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series235.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2)))
17.0ms	(pow (cos y) 2)
16.0ms	(pow (cos y) 2)
103.0ms	(cbrt (cos y))

simplify903.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	128	1504
1	338	1217
2	1306	783
done	5000	783

prune292.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

428.0ms	994×	body	1280	valid
299.0ms	5657×	body	80	valid
198.0ms	758×	body	640	valid
78.0ms	383×	body	320	valid
26.0ms	208×	body	160	valid