Details

sample45.0ms

Algorithm

intervals

Results

17.0ms	43×	body	1280	valid
9.0ms	172×	body	80	valid
6.0ms	25×	body	640	valid
2.0ms	12×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

3.0ms	(+ x (sin y))
17.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series106.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
44.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify72.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242

prune155.0ms

Filtered

65 candidates to 50 candidates (76.9%)

Pruning

4 alts after pruning (3 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))

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))

series453.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))

simplify99.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (93.0ms)

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

prune272.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 87

Calls

4 calls:

3.0ms	(pow (pow (cos y) 2) 1/3)
22.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series319.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(pow (pow (cos y) 2) 1/3)
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
99.0ms	(cbrt (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	323	510
1	1357	436
2	5001	412

prune276.0ms

Filtered

99 candidates to 60 candidates (60.6%)

Pruning

5 alts after pruning (3 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) (cbrt (cos y))))
0.2b	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`add-exp-log`
24×	`unpow-prod-down`
16×	`prod-exp`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `unswap-sqr`
10×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `associate-r` `cbrt-unprod` `sqr-pow`
5×	`pow-to-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp`
3×	`pow-unpow`
2×	`unpow1/3` `pow1/3` `pow-prod-down` `*-commutative`
1×	`pow-pow`

Counts

4 → 105

Calls

4 calls:

16.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
14.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series163.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
5.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
23.0ms	(pow (cos y) 2)
100.0ms	(cbrt (cos y))

simplify46.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	339	775
1	1306	686
2	5002	635

prune330.0ms

Filtered

117 candidates to 76 candidates (65.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

386.0ms	957×	body	1280	valid
294.0ms	5641×	body	80	valid
208.0ms	800×	body	640	valid
72.0ms	404×	body	320	valid
23.0ms	197×	body	160	valid
1.0ms	1×	body	2560	valid