Details

sample55.0ms

Algorithm

intervals

Results

24.0ms	53×	body	1280	valid
9.0ms	38×	body	640	valid
7.0ms	135×	body	80	valid
4.0ms	21×	body	320	valid
1.0ms	9×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune5.0ms

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	(* z (sin y))
0.1b	(* x (cos 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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

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

series140.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
35.0ms	(* x (cos y))

simplify74.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	195	268
1	748	244
2	2510	244
3	5003	243

prune167.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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×	`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)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series446.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (99.0ms)

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

prune302.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

13.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series302.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))
148.0ms	(cbrt (pow (cos y) 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	244	457
1	1097	397
2	5001	378

prune293.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (pow (cos y) 2))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow2` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
1.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (pow (cos y) 2))

series606.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2))))
159.0ms	(cbrt (pow (cos y) 2))
160.0ms	(cbrt (pow (cos y) 2))
162.0ms	(cbrt (pow (cos y) 2))

simplify61.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	117	473
1	342	419
2	1051	401
3	5001	398

prune310.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.2b 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	17	10
1	17	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

638.0ms	1560×	body	1280	valid
309.0ms	1243×	body	640	valid
236.0ms	4235×	body	80	valid
124.0ms	641×	body	320	valid
38.0ms	321×	body	160	valid