Details

sample46.0ms

Algorithm

intervals

Results

17.0ms	44×	body	1280	valid
9.0ms	169×	body	80	valid
7.0ms	29×	body	640	valid
1.0ms	7×	body	320	valid
1.0ms	7×	body	160	valid

simplify24.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.2b	(* z (sin y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

47.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(* z (sin y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (+ x (cos y)) (* z (sin y)))
33.0ms	(* z (sin y))

simplify81.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (77.0ms)

Iter	Nodes	Cost
0	179	287
1	653	257
2	3467	256
3	5001	249

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))

rewrite34.0ms

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:

20.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
111.0ms	(cbrt (* z (sin y)))
109.0ms	(cbrt (* z (sin y)))
109.0ms	(cbrt (* z (sin y)))

simplify95.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (89.0ms)

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

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

rewrite20.0ms

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:

14.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series396.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
108.0ms	(cbrt (sin y))
89.0ms	(cbrt (sin y))
88.0ms	(cbrt (sin y))

simplify91.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune261.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))
6.9b	(cbrt (* z (sin y)))

rewrite17.0ms

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

series458.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (* z (sin y)))
113.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))
112.0ms	(cbrt (* z (sin y)))

simplify69.0ms

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

prune234.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.3b 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	14	14
1	14	14

end0.0ms

sample1.3s

Algorithm

intervals

Results

398.0ms	996×	body	1280	valid
289.0ms	5556×	body	80	valid
212.0ms	846×	body	640	valid
72.0ms	397×	body	320	valid
24.0ms	205×	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