Details

sample46.0ms

Algorithm

intervals

Results

16.0ms	41×	body	1280	valid
8.0ms	167×	body	80	valid
8.0ms	34×	body	640	valid
2.0ms	10×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

6.0ms	(+ x (sin y))
31.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series96.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ x (sin y))
35.0ms	(+ (+ x (sin y)) (* z (cos y)))
39.0ms	(* z (cos y))

simplify76.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune124.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite18.0ms

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series451.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
93.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune237.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 66

Calls

4 calls:

29.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series306.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
15.0ms	(pow (cos y) 2)
158.0ms	(cbrt (pow (cos y) 2))
94.0ms	(cbrt (cos y))

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	233	421
1	1069	364
2	5001	345

prune226.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
54×	`prod-exp`
19×	`add-cbrt-cube`
17×	`pow-exp`
14×	`cbrt-unprod`
12×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `1-exp`
9×	`pow-to-exp`
7×	`associate-r`
6×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `unpow2` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

30.0ms	(* z (* 1 (pow (pow (cos y) 2) 1/3)))
93.0ms	(* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series230.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* z (* 1 (pow (pow (cos y) 2) 1/3)))
32.0ms	(* (* z (* 1 (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))
15.0ms	(pow (cos y) 2)
97.0ms	(cbrt (cos y))

simplify45.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	339	604
1	1414	527
2	5002	495

prune232.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	25	11
2	25	11

end0.0ms

sample1.2s

Algorithm

intervals

Results

382.0ms	969×	body	1280	valid
279.0ms	5561×	body	80	valid
207.0ms	865×	body	640	valid
75.0ms	402×	body	320	valid
22.0ms	203×	body	160	valid