Details

sample81.0ms

Algorithm

intervals

Results

30.0ms	49×	body	1280	valid
15.0ms	40×	body	640	valid
12.0ms	134×	body	80	valid
6.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite33.0ms

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×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

10.0ms	(+ (* x (cos y)) (* z (sin y)))
12.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* x (cos y))
49.0ms	(* z (sin y))

simplify2.5s

Counts

63 → 63

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	87	494
1	206	449
2	713	417
3	3984	417
done	5000	417

prune209.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite29.0ms

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:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
125.0ms	(cbrt (cos y))
187.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

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

prune333.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

16.0ms	(* z (sin y))
49.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series291.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* z (sin y))
53.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
139.0ms	(cbrt (cos y))

simplify1.1s

Counts

92 → 92

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	134	813
1	346	717
2	1547	634
done	5000	616

prune496.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
11×	`prod-exp` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1` `cbrt-prod` `log-prod`
5×	`pow-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 90

Calls

4 calls:

91.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
8.0ms	(log (exp (cbrt (cos y))))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series369.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
140.0ms	(log (exp (cbrt (cos y))))
31.0ms	(pow (cos y) 2)
154.0ms	(cbrt (cos y))

simplify2.1s

Counts

102 → 102

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	140	1168
1	367	937
2	1948	827
done	5000	796

prune525.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	20	19
done	20	19

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	1523×	body	1280	valid
722.0ms	1250×	body	640	valid
672.0ms	4330×	body	80	valid
283.0ms	596×	body	320	valid
67.0ms	301×	body	160	valid