Details

sample57.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
16.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	16×	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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.1b	(* z (sin 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 (cos y)) (* z (sin y)))
3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series163.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (* x (cos y)) (* z (sin y)))
45.0ms	(* x (cos y))
41.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

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

prune147.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite14.0ms

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:

10.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series507.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
108.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))
112.0ms	(cbrt (cos y))

simplify108.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

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

prune274.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos y) 2) 1/3)
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

3.0ms	(pow (pow (cos y) 2) 1/3)
18.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow (pow (cos y) 2) 1/3)
40.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify48.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	312	474
1	1319	403
2	5001	386

prune277.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(exp (log (pow (cos y) 2)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))
1.9b	(log (pow (cos y) 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`exp-sum`
7×	`add-exp-log`
5×	`pow1`
4×	`exp-prod` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `rem-log-exp` `unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `log-pow`
1×	`pow-pow` `pow1/3` `rem-exp-log`

Counts

4 → 68

Calls

4 calls:

3.0ms	(exp (log (pow (cos y) 2)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(log (pow (cos y) 2))

series272.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (log (pow (cos y) 2)))
25.0ms	(pow (cos y) 2)
113.0ms	(cbrt (cos y))
115.0ms	(log (pow (cos y) 2))

simplify94.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	182	326
1	595	278
2	2407	258
3	5001	250

prune254.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes127.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	12
1	20	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

615.0ms	1513×	body	1280	valid
340.0ms	1288×	body	640	valid
237.0ms	4291×	body	80	valid
99.0ms	592×	body	320	valid
37.0ms	316×	body	160	valid