Details

sample82.0ms

Algorithm

intervals

Results

24.0ms	34×	body	1280	valid
15.0ms	167×	body	80	valid
15.0ms	32×	body	640	valid
9.0ms	15×	body	320	valid
2.0ms	8×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (+ x (sin y)) (* z (cos y)))
34.0ms	(* z (cos y))

simplify81.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	159	210
1	639	185
2	2791	185
3	5001	185

prune112.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (+ x (sin y)) (* z (cos y)))
38.0ms	(* z (cos y))

simplify71.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	159	210
1	639	185
2	2791	185
3	5001	185

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite12.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune301.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

8.0ms	(* z (pow (pow (cos y) 2) 1/3))
10.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series244.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* z (pow (pow (cos y) 2) 1/3))
34.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	330	610
1	1447	529
2	5001	498

prune326.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes134.0ms

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	15	5
1	15	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

420.0ms	1002×	body	1280	valid
300.0ms	5602×	body	80	valid
202.0ms	819×	body	640	valid
66.0ms	386×	body	320	valid
24.0ms	191×	body	160	valid