Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	35×	body	1280	valid
8.0ms	174×	body	80	valid
6.0ms	24×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	8×	body	160	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune3.0ms

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-log-exp`
8×	`add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`fma-neg` `prod-diff`
3×	`expm1-log1p-u` `fma-def` `associate-r` `associate-l` `log1p-expm1-u` `distribute-lft-out`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

7.0ms	(+ x (cos y))
51.0ms	(- (+ x (cos y)) (* z (sin y)))
10.0ms	(* z (sin y))

series103.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ x (cos y))
45.0ms	(- (+ x (cos y)) (* z (sin y)))
36.0ms	(* z (sin y))

simplify88.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	223	348
1	754	317
2	3691	316
3	5001	309

prune166.0ms

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) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite15.0ms

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:

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

series708.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt z) (cbrt z))
177.0ms	(cbrt z)
172.0ms	(cbrt z)
170.0ms	(cbrt z)

simplify89.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune285.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt (cbrt z))

series736.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt z)
167.0ms	(cbrt z)
169.0ms	(cbrt z)
233.0ms	(cbrt (cbrt z))

simplify48.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	75	209
1	145	195
2	361	187
3	1382	187
4	5002	187

prune291.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

7.0ms	(cbrt (* (cbrt (cbrt z)) (cbrt (cbrt z))))
1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))

series962.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt (* (cbrt (cbrt z)) (cbrt (cbrt z))))
235.0ms	(cbrt (cbrt z))
236.0ms	(cbrt (cbrt z))
230.0ms	(cbrt (cbrt z))

simplify76.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (72.0ms)

Iter	Nodes	Cost
0	94	339
1	175	311
2	553	303
3	1969	303
4	5001	294

prune310.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes153.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

418.0ms	1010×	body	1280	valid
279.0ms	5553×	body	80	valid
205.0ms	847×	body	640	valid
64.0ms	396×	body	320	valid
22.0ms	193×	body	160	valid
2.0ms	1×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5