Details

sample53.0ms

Algorithm

intervals

Results

18.0ms	46×	body	1280	valid
12.0ms	49×	body	640	valid
7.0ms	134×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	7×	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

localize9.0ms

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))

rewrite33.0ms

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:

14.0ms	(+ (* x (cos y)) (* z (sin y)))
8.0ms	(* x (cos y))
9.0ms	(* z (sin y))

series131.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (* x (cos y)) (* z (sin y)))
33.0ms	(* x (cos y))
35.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (68.0ms)

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

prune170.0ms

Pruning

10 alts after pruning (10 fresh and 0 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))

rewrite21.0ms

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:

16.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify105.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

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

prune293.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (* (cbrt (cos y)) (cbrt (cos y)))))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(expm1 (log1p (* (cbrt (cos y)) (cbrt (cos y)))))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series720.0ms

Counts

4 → 12

Calls

4 calls:

426.0ms	(expm1 (log1p (* (cbrt (cos y)) (cbrt (cos y)))))
103.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify211.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (207.0ms)

Iter	Nodes	Cost
0	90	301
1	242	258
2	837	244
3	4774	242
4	5001	239

prune249.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (cbrt (cos y)))
7.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
91.0ms	(cbrt (cbrt (cos y)))
107.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify221.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (216.0ms)

Iter	Nodes	Cost
0	112	336
1	284	306
2	880	295
3	4875	295
4	5001	294

prune292.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes119.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	24
1	25	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

614.0ms	1491×	body	1280	valid
303.0ms	1256×	body	640	valid
220.0ms	4304×	body	80	valid
98.0ms	610×	body	320	valid
38.0ms	339×	body	160	valid