Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	191×	body	80	valid
9.0ms	24×	body	1280	valid
7.0ms	27×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

38.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (+ x (sin y)) (* z (cos y)))
42.0ms	(* z (cos y))

simplify1.1s

Counts

45 → 45

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	66	379
1	159	359
2	505	317
3	2062	317
done	5000	317

prune111.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (cos y) z (+ x (sin y)))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (cos y) z (+ x (sin y)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(fma (cos y) z (+ x (sin y)))

simplify780.0ms

Counts

13 → 13

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	22	135
1	32	135
2	65	117
3	260	117
4	1360	117
done	5000	117

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series472.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune271.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

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:

41.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
27.0ms	(* z (pow (pow (cos y) 2) 1/3))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
100.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))

simplify2.5s

Counts

110 → 110

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	873	842
3	3638	778
done	5000	769

prune314.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

404.0ms	975×	body	1280	valid
305.0ms	5600×	body	80	valid
199.0ms	808×	body	640	valid
70.0ms	410×	body	320	valid
24.0ms	205×	body	160	valid
2.0ms	2×	body	2560	valid