Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	54×	body	1280	valid
12.0ms	50×	body	640	valid
7.0ms	129×	body	80	valid
2.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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:

11.0ms	(- (* x (cos y)) (* z (sin y)))
13.0ms	(* x (cos y))
10.0ms	(* z (sin y))

series132.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (* x (cos y)) (* z (sin y)))
36.0ms	(* x (cos y))
35.0ms	(* z (sin 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

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite22.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
95.0ms	(cbrt (sin y))
98.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune241.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite16.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
11.0ms	(* (cbrt z) (cbrt z))

series721.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt z)
174.0ms	(cbrt z)
181.0ms	(cbrt z)
192.0ms	(* (cbrt z) (cbrt z))

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune256.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
0.6b	(cbrt (cbrt (sin y)))

rewrite13.0ms

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 (sin y))
1.0ms	(cbrt (sin y))
7.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
2.0ms	(cbrt (cbrt (sin y)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (sin y))
94.0ms	(cbrt (sin y))
116.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
93.0ms	(cbrt (cbrt (sin y)))

simplify132.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (128.0ms)

Iter	Nodes	Cost
0	157	314
1	344	284
2	1042	273
3	3743	273
4	5001	268

prune215.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

596.0ms	1465×	body	1280	valid
333.0ms	1291×	body	640	valid
243.0ms	4317×	body	80	valid
107.0ms	613×	body	320	valid
36.0ms	314×	body	160	valid