Details

sample42.0ms

Algorithm

intervals

Results

13.0ms	193×	body	80	valid
13.0ms	32×	body	1280	valid
5.0ms	19×	body	640	valid
1.0ms	6×	body	320	valid
1.0ms	6×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite16.0ms

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:

4.0ms	(+ x (cos y))
7.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series112.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (cos y))
49.0ms	(- (+ x (cos y)) (* z (sin y)))
38.0ms	(* 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

prune166.0ms

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)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite13.0ms

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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series414.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
97.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify95.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (89.0ms)

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

prune281.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`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 → 52

Calls

4 calls:

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

series411.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sin y))
107.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))

simplify51.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	62	268
1	132	248
2	334	240
3	1067	240
4	5001	240

prune257.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (pow (pow (sin y) 2) 1/3))
0.3b	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
17.2b	(pow (pow (sin y) 2) 1/3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
27×	`unpow-prod-down`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`prod-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow-exp`
11×	`add-cbrt-cube`
7×	`cbrt-unprod`
6×	`pow1` `cbrt-prod` `pow-to-exp` `unswap-sqr` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow1/3` `unpow2`
2×	`*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 105

Calls

4 calls:

8.0ms	(* z (pow (pow (sin y) 2) 1/3))
14.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
4.0ms	(pow (pow (sin y) 2) 1/3)

series345.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* z (pow (pow (sin y) 2) 1/3))
41.0ms	(* (* z (pow (pow (sin y) 2) 1/3)) (cbrt (sin y)))
100.0ms	(cbrt (sin y))
119.0ms	(pow (pow (sin y) 2) 1/3)

simplify49.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	380	684
1	1508	585
2	5002	553

prune314.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes78.0ms

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	18	21
1	18	21

end0.0ms

sample1.2s

Algorithm

intervals

Results

420.0ms	1015×	body	1280	valid
309.0ms	5625×	body	80	valid
201.0ms	800×	body	640	valid
62.0ms	370×	body	320	valid
22.0ms	190×	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