Details

sample38.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
9.0ms	186×	body	80	valid
3.0ms	11×	body	640	valid
2.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

15.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(+ x (sin y))
3.0ms	(* z (cos y))

series104.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ x (sin y)) (* z (cos y)))
24.0ms	(+ x (sin y))
38.0ms	(* z (cos y))

simplify67.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune117.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

6 alts after pruning (6 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×	`add-cbrt-cube` `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 → 73

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))

series445.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
94.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune243.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* 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×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

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))

series239.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* z (pow (pow (cos y) 2) 1/3))
34.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
93.0ms	(cbrt (cos y))

simplify43.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	320	572
1	1417	499
2	5002	468

prune270.0ms

Filtered

102 candidates to 62 candidates (60.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

87.0ms	(* (* (* z (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))
1.0ms	(pow (cos y) 2)
1.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series167.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (* z (sqrt (pow (pow (cos y) 2) 1/3))) (sqrt (pow (pow (cos y) 2) 1/3))) (cbrt (cos y)))
16.0ms	(pow (cos y) 2)
16.0ms	(pow (cos y) 2)
94.0ms	(cbrt (cos y))

simplify41.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	247	505
1	1228	386
2	5002	378

prune272.0ms

Filtered

83 candidates to 51 candidates (61.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes94.0ms

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	21	16
1	21	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

409.0ms	1018×	body	1280	valid
283.0ms	5619×	body	80	valid
190.0ms	774×	body	640	valid
65.0ms	402×	body	320	valid
30.0ms	187×	body	160	valid