Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
10.0ms	181×	body	80	valid
6.0ms	24×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	5×	body	160	valid

simplify7.0ms

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

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

rewrite25.0ms

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:

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

series106.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (+ x (sin y)) (* z (cos y)))
25.0ms	(+ x (sin y))
42.0ms	(* z (cos y))

simplify82.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune166.0ms

Pruning

6 alts after pruning (5 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))

series464.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
101.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))

simplify114.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (102.0ms)

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

prune302.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

12.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series253.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(* z (pow (pow (cos y) 2) 1/3))
36.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
105.0ms	(cbrt (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	330	613
1	1441	531
2	5001	498

prune328.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

71×	`add-exp-log`
55×	`prod-exp`
27×	`add-cbrt-cube` `cbrt-unprod`
21×	`associate-r`
17×	`unpow-prod-down`
15×	`pow-to-exp` `pow-exp`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`unpow1/3`
8×	`sqrt-prod`
7×	`pow1`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `sqr-pow`
2×	`associate-l` `*-commutative` `unpow2`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 115

Calls

4 calls:

44.0ms	(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
19.0ms	(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series314.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* (* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3)) (cbrt (cos y)))
91.0ms	(* (* z (pow (fabs (cos y)) 1/3)) (pow (sqrt (pow (cos y) 2)) 1/3))
16.0ms	(pow (cos y) 2)
107.0ms	(cbrt (cos y))

simplify68.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	473	1226
1	2291	1011
2	5001	840

prune443.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.1b 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	23	15
1	23	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

413.0ms	1000×	body	1280	valid
275.0ms	5572×	body	80	valid
206.0ms	805×	body	640	valid
80.0ms	418×	body	320	valid
24.0ms	205×	body	160	valid