Details

sample64.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
15.0ms	144×	body	80	valid
11.0ms	39×	body	640	valid
4.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

4.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
47.0ms	(* x (cos y))

simplify75.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune142.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))

rewrite13.0ms

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:

9.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series466.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (99.0ms)

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

prune267.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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

Counts

4 → 90

Calls

4 calls:

12.0ms	(* x (pow (pow (cos y) 2) 1/3))
17.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series260.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (pow (pow (cos y) 2) 1/3))
39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))

simplify50.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune305.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.6b	(log (exp (pow (cos y) 2)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

31.0ms	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
4.0ms	(log (exp (pow (cos y) 2)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x (pow (log (exp (pow (cos y) 2))) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))
18.0ms	(log (exp (pow (cos y) 2)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	262	464
1	1122	378
2	5001	343

prune285.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes181.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.9s

Algorithm

intervals

Results

698.0ms	1468×	body	1280	valid
386.0ms	4333×	body	80	valid
379.0ms	1268×	body	640	valid
130.0ms	624×	body	320	valid
53.0ms	307×	body	160	valid