Details

sample60.0ms

Algorithm

intervals

Results

21.0ms	47×	body	1280	valid
12.0ms	35×	body	640	valid
9.0ms	134×	body	80	valid
4.0ms	22×	body	320	valid
3.0ms	18×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune2.0ms

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	(* z (sin y))
0.2b	(* x (cos y))

rewrite10.0ms

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`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
3.0ms	(* z (sin y))
3.0ms	(* x (cos y))

series142.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (* x (cos y)) (* z (sin y)))
39.0ms	(* z (sin y))
35.0ms	(* x (cos y))

simplify60.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune135.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (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))

series434.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
93.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify98.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (93.0ms)

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

prune247.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
3.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
1.0ms	(cbrt (cbrt (cos y)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))
112.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
93.0ms	(cbrt (cbrt (cos y)))

simplify219.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (215.0ms)

Iter	Nodes	Cost
0	103	302
1	262	272
2	833	261
3	4533	261
4	5002	256

prune224.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cbrt (cos y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))
1.0ms	(cbrt (cbrt (cos y)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (cos y))
94.0ms	(cbrt (cbrt (cos y)))
95.0ms	(cbrt (cbrt (cos y)))
97.0ms	(cbrt (cbrt (cos y)))

simplify166.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (161.0ms)

Iter	Nodes	Cost
0	77	352
1	207	326
2	663	318
3	3549	318
4	5002	308

prune231.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes116.0ms

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	20	20
1	20	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

686.0ms	1507×	body	1280	valid
376.0ms	1273×	body	640	valid
314.0ms	4291×	body	80	valid
123.0ms	612×	body	320	valid
49.0ms	317×	body	160	valid