Details

sample61.0ms

Algorithm

intervals

Results

18.0ms	40×	body	1280	valid
17.0ms	46×	body	640	valid
10.0ms	142×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune2.0ms

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

rewrite11.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ (* x (sin y)) (* z (cos y)))
37.0ms	(* x (sin y))
43.0ms	(* z (cos y))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (cos y))
0.2b	(* (sqrt (* x (sin y))) (sqrt (* x (sin y))))
6.8b	(sqrt (* x (sin y)))
6.8b	(sqrt (* x (sin y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

3.0ms	(* z (cos y))
14.0ms	(* (sqrt (* x (sin y))) (sqrt (* x (sin y))))
2.0ms	(sqrt (* x (sin y)))
2.0ms	(sqrt (* x (sin y)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* z (cos y))
40.0ms	(* (sqrt (* x (sin y))) (sqrt (* x (sin y))))
55.0ms	(sqrt (* x (sin y)))
51.0ms	(sqrt (* x (sin y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	266	457
1	1204	378
2	5001	362

prune212.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sin y))
0.1b	(* z (cos y))
0.1b	(* z (cos y))
0.3b	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
28×	`sqrt-pow1`
23×	`pow-prod-down`
22×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r` `associate-l`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1/2` `pow-prod-up`
6×	`pow-sqr`
4×	`swap-sqr` `prod-exp` `sqrt-prod` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 103

Calls

4 calls:

3.0ms	(* x (sin y))
3.0ms	(* z (cos y))
3.0ms	(* z (cos y))
13.0ms	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* x (sin y))
35.0ms	(* z (cos y))
41.0ms	(* z (cos y))
37.0ms	(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	238	389
1	1137	341
2	5001	332

prune234.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (pow z 2) (pow (cos y) 2))
0.1b	(* x (sin y))
0.3b	(pow (cos y) 2)
27.3b	(sqrt (* (pow z 2) (pow (cos y) 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
19×	`add-exp-log`
17×	`unpow-prod-down` `unswap-sqr`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `associate-l` `unpow2` `sqr-pow`
10×	`prod-exp`
8×	`pow1` `add-cbrt-cube`
7×	`pow-to-exp` `pow-exp`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down`
2×	`sqrt-pow1` `*-commutative` `cbrt-unprod`
1×	`pow-pow` `pow1/2` `sqrt-prod`

Counts

4 → 98

Calls

4 calls:

9.0ms	(* (pow z 2) (pow (cos y) 2))
3.0ms	(* x (sin y))
1.0ms	(pow (cos y) 2)
3.0ms	(sqrt (* (pow z 2) (pow (cos y) 2)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (pow z 2) (pow (cos y) 2))
37.0ms	(* x (sin y))
16.0ms	(pow (cos y) 2)
39.0ms	(sqrt (* (pow z 2) (pow (cos y) 2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	286	522
1	1184	436
2	5001	423

prune254.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

57% (12.9b remaining)

Error of 13.0b against oracle of 0.1b and baseline of 30.1b

bsearch256.0ms

Steps

Iters	Range		Point
8	-4.990614210601742e-290	-3.957916901742115e-293	-4.008635328086667e-293
9	-1.3699581405989777e-211	-3.590391089736032e-219	-8.811798188204722e-213
10	-1.0472707424533275e-157	-7.369787736381232e-169	-4.926365677979376e-161
7	-3.986342568864759e+59	-2.3992734897128167e+58	-2.419249552228977e+58

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	45
1	47	45

end0.0ms

sample1.8s

Algorithm

intervals

Results

714.0ms	1559×	body	1280	valid
355.0ms	1186×	body	640	valid
313.0ms	4288×	body	80	valid
129.0ms	646×	body	320	valid
47.0ms	321×	body	160	valid