Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	50×	body	1280	valid
9.0ms	38×	body	640	valid
7.0ms	143×	body	80	valid
3.0ms	15×	body	320	valid
1.0ms	10×	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))
3.0ms	(* z (sin y))

series147.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify70.0ms

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

prune140.0ms

Pruning

8 alts after pruning (8 fresh and 0 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))

rewrite10.0ms

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:

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

series475.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
103.0ms	(cbrt (cos y))
104.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))

simplify103.0ms

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

prune272.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

17.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(* z (sin y))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series206.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
37.0ms	(* z (sin y))
17.0ms	(pow (cos y) 2)
109.0ms	(cbrt (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	294	422
1	1280	367
2	5001	350

prune263.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
11×	`prod-exp` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1` `cbrt-prod` `log-prod`
5×	`pow-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

26.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
2.0ms	(log (exp (cbrt (cos y))))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series266.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
101.0ms	(log (exp (cbrt (cos y))))
18.0ms	(pow (cos y) 2)
104.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	304	645
1	1290	531
2	5002	506

prune313.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes113.0ms

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	18	10
1	18	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

839.0ms	1585×	body	1280	valid
325.0ms	1228×	body	640	valid
235.0ms	4272×	body	80	valid
107.0ms	607×	body	320	valid
36.0ms	308×	body	160	valid