Details

sample121.0ms

Algorithm

intervals

Results

43.0ms	47×	body	1280	valid
24.0ms	40×	body	640	valid
18.0ms	138×	body	80	valid
10.0ms	24×	body	320	valid
2.0ms	7×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

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))

rewrite69.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

18.0ms	(- (* x (cos y)) (* z (sin y)))
9.0ms	(* x (cos y))
39.0ms	(* z (sin y))

series242.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(- (* x (cos y)) (* z (sin y)))
65.0ms	(* x (cos y))
77.0ms	(* z (sin y))

simplify2.7s

Counts

65 → 65

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	92	527
1	203	495
2	637	460
3	3516	459
done	5000	453

prune270.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(* (cbrt (cos y)) (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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

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

series659.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (cos y))
156.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))
210.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	68	726
1	152	651
2	643	551
done	5001	537

prune455.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 87

Calls

4 calls:

6.0ms	(pow (pow (cos y) 2) 1/3)
71.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series525.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(pow (pow (cos y) 2) 1/3)
76.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
30.0ms	(pow (cos y) 2)
147.0ms	(cbrt (cos y))

simplify1.3s

Counts

99 → 99

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	132	964
1	364	802
2	1726	712
done	5000	679

prune501.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
1.0b	(* (cbrt 1/3) (cbrt 1/3))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
25×	`add-sqr-sqrt`
22×	`cbrt-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`prod-exp`
14×	`pow1`
12×	`associate-r`
10×	`pow-exp`
7×	`pow1/3` `associate-l` `add-cbrt-cube`
6×	`swap-sqr`
4×	`expm1-log1p-u` `pow-to-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`unpow-prod-down` `pow-unpow` `pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-pow` `pow-plus` `unpow2` `sqr-pow`

Counts

4 → 103

Calls

4 calls:

136.0ms	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
18.0ms	(* (cbrt 1/3) (cbrt 1/3))

series798.0ms

Counts

4 → 10

Calls

4 calls:

609.0ms	(* (* x (pow (pow (pow (cos y) 2) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
32.0ms	(pow (cos y) 2)
157.0ms	(cbrt (cos y))
0.0ms	(* (cbrt 1/3) (cbrt 1/3))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	149	1293
1	409	1134
2	2469	1005
done	5001	928

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	20	24
done	20	24

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	1531×	body	1280	valid
708.0ms	1259×	body	640	valid
599.0ms	4296×	body	80	valid
539.0ms	330×	body	160	valid
293.0ms	584×	body	320	valid