Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	35×	body	1280	valid
9.0ms	181×	body	80	valid
5.0ms	20×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify7.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

3.0ms	(+ x (sin y))
15.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (sin y))
42.0ms	(+ (+ x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))

simplify71.0ms

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

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

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:

5.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series926.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(* (cbrt z) (cbrt z))
364.0ms	(cbrt z)
181.0ms	(cbrt z)
186.0ms	(cbrt z)

simplify95.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (cbrt z))
3.0ms	(cbrt (* (cbrt z) (cbrt z)))
3.0ms	(pow (cbrt (cbrt z)) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt z)
256.0ms	(cbrt (cbrt z))
290.0ms	(cbrt (* (cbrt z) (cbrt z)))
306.0ms	(pow (cbrt (cbrt z)) 4)

simplify82.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	191	315
1	598	284
2	2094	264
3	5001	257

prune256.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.9b	(pow (cbrt (cbrt z)) 4)
0.9b	(pow (cbrt (cbrt z)) 4)
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
27×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-unpow`
7×	`pow1` `add-exp-log`
6×	`pow-pow`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

2.0ms	(cbrt (* (cbrt z) (cbrt z)))
2.0ms	(pow (cbrt (cbrt z)) 4)
2.0ms	(pow (cbrt (cbrt z)) 4)
3.0ms	(pow (cbrt (cbrt z)) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (* (cbrt z) (cbrt z)))
316.0ms	(pow (cbrt (cbrt z)) 4)
308.0ms	(pow (cbrt (cbrt z)) 4)
313.0ms	(pow (cbrt (cbrt z)) 4)

simplify73.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	149	492
1	456	454
2	1605	431
3	5002	431

prune404.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.0b 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	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

385.0ms	948×	body	1280	valid
302.0ms	5557×	body	80	valid
225.0ms	873×	body	640	valid
64.0ms	387×	body	320	valid
29.0ms	235×	body	160	valid