Details

sample45.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
8.0ms	168×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	9×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `fma-def`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`sum-log`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `flip-+` `distribute-lft-out`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

3.0ms	(+ x (sin y))
21.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(* z (cos y))

series107.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (sin y))
40.0ms	(+ (+ x (sin y)) (* z (cos y)))
38.0ms	(* z (cos y))

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	84	495
1	209	462
2	549	420
3	1756	420
done	5001	420

prune182.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

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:

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

series500.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
108.0ms	(cbrt (cos y))
113.0ms	(cbrt (cos y))
112.0ms	(cbrt (cos y))

simplify1.9s

Counts

93 → 93

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	363	551
3	1342	529
done	5000	523

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 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))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite37.0ms

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

Counts

4 → 98

Calls

4 calls:

15.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series273.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* z (pow (pow (cos y) 2) 1/3))
37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
114.0ms	(cbrt (cos y))

simplify2.4s

Counts

110 → 110

Iterations

Useful iterations: 3 (973.0ms)

Iter	Nodes	Cost
0	141	1143
1	323	945
2	941	845
3	3908	780
done	5001	780

prune374.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (pow (cos y) 2)))
0.2b	(* (* z (pow (expm1 (log1p (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
7×	`pow1` `prod-exp`
6×	`cbrt-prod` `associate-r`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`pow-to-exp` `pow-exp`
1×	`expm1-log1p` `pow-pow` `unpow1/3` `pow1/3` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `expm1-udef` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

0.0ms	(expm1 (log1p (pow (cos y) 2)))
10.0ms	(* (* z (pow (expm1 (log1p (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series453.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(expm1 (log1p (pow (cos y) 2)))
167.0ms	(* (* z (pow (expm1 (log1p (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
19.0ms	(pow (cos y) 2)
119.0ms	(cbrt (cos y))

simplify2.7s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	109	816
1	244	623
2	805	559
3	3571	509
done	5001	509

prune289.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes162.0ms

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

406.0ms	971×	body	1280	valid
307.0ms	5549×	body	80	valid
224.0ms	873×	body	640	valid
76.0ms	406×	body	320	valid
25.0ms	201×	body	160	valid