Details

sample43.0ms

Algorithm

intervals

Results

12.0ms	29×	body	1280	valid
9.0ms	176×	body	80	valid
8.0ms	32×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	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: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

49.0ms	(- (+ x (cos y)) (* z (sin y)))
6.0ms	(+ x (cos y))
9.0ms	(* z (sin y))

series104.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (+ x (cos y)) (* z (sin y)))
22.0ms	(+ x (cos y))
39.0ms	(* z (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (88.0ms)

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

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

18.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
115.0ms	(cbrt (* z (sin y)))
115.0ms	(cbrt (* z (sin y)))
121.0ms	(cbrt (* z (sin y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	195	499
1	648	448
2	3129	396
3	5002	368

prune470.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
4.0ms	(cbrt (* z (sin y)))
8.0ms	(cbrt (* z (sin y)))

series503.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt z)
95.0ms	(cbrt (sin y))
113.0ms	(cbrt (* z (sin y)))
114.0ms	(cbrt (* z (sin y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	164	272
1	354	250
2	1116	232
3	5001	220

prune416.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))
8.2b	(cbrt (* z (sin y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series465.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))
116.0ms	(cbrt (* z (sin y)))
115.0ms	(cbrt (* z (sin y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (17.0ms)

Iter	Nodes	Cost
0	81	324
1	167	296
2	501	260
3	2120	244
4	5001	244

prune585.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

448.0ms	878×	body	640	valid
402.0ms	939×	body	1280	valid
318.0ms	5596×	body	80	valid
70.0ms	392×	body	320	valid
24.0ms	195×	body	160	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