Details

sample62.0ms

Algorithm

intervals

Results

26.0ms	62×	body	1280	valid
10.0ms	126×	body	80	valid
9.0ms	37×	body	640	valid
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma x (sin y) (* z (cos y)))
0.1b	(* z (cos y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma x (sin y) (* z (cos y)))
3.0ms	(* z (cos y))

series120.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(fma x (sin y) (* z (cos y)))
37.0ms	(* z (cos y))

simplify53.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	85	150
1	280	130
2	715	130
3	1541	130
4	5001	130

prune99.0ms

Filtered

36 candidates to 28 candidates (77.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

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))

rewrite11.0ms

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))

series482.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
110.0ms	(cbrt (cos y))
104.0ms	(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

prune296.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite29.0ms

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)
18.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series330.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(pow (pow (cos y) 2) 1/3)
37.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
103.0ms	(cbrt (cos y))

simplify62.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	323	514
1	1358	436
2	5001	413

prune293.0ms

Filtered

99 candidates to 60 candidates (60.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize20.0ms

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))

series167.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* z (* (pow (pow (cos y) 2) 1/3) (cbrt (cos y))))
12.0ms	(* (pow (pow (cos y) 2) 1/3) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
101.0ms	(cbrt (cos y))

simplify49.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (40.0ms)

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

prune351.0ms

Filtered

117 candidates to 76 candidates (65.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.6s

Algorithm

intervals

Results

628.0ms	1521×	body	1280	valid
328.0ms	1211×	body	640	valid
242.0ms	4328×	body	80	valid
113.0ms	619×	body	320	valid
38.0ms	321×	body	160	valid