Details

sample46.0ms

Algorithm

intervals

Results

15.0ms	38×	body	1280	valid
9.0ms	170×	body	80	valid
8.0ms	32×	body	640	valid
1.0ms	8×	body	320	valid
1.0ms	8×	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

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.2b	(* z (cos y))

rewrite50.0ms

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:

7.0ms	(+ x (sin y))
33.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series106.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (sin y))
39.0ms	(+ (+ x (sin y)) (* z (cos y)))
40.0ms	(* z (cos y))

simplify80.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune126.0ms

Pruning

6 alts after pruning (5 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))

rewrite19.0ms

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:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series483.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
107.0ms	(cbrt (cos y))
105.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))

simplify111.0ms

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

prune248.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

23.0ms	(* z (pow (pow (cos y) 2) 1/3))
41.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series261.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* z (pow (pow (cos y) 2) 1/3))
37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
20.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	320	575
1	1409	501
2	5001	468

prune286.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

59.0ms	(* (* z (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3)))
3.0ms	(pow (cos y) 2)
3.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (* z (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3)))
17.0ms	(pow (cos y) 2)
20.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	291	523
1	1164	420
2	5001	416

prune303.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes146.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

409.0ms	1003×	body	1280	valid
282.0ms	5529×	body	80	valid
214.0ms	847×	body	640	valid
65.0ms	401×	body	320	valid
25.0ms	220×	body	160	valid