Details

sample47.0ms

Algorithm

intervals

Results

15.0ms	190×	body	80	valid
13.0ms	27×	body	1280	valid
6.0ms	22×	body	640	valid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.1b	(fma (cos y) z (+ x (sin y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

3.0ms	(+ x (sin y))
0.0ms	(fma (cos y) z (+ x (sin y)))

series68.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ x (sin y))
43.0ms	(fma (cos y) z (+ x (sin y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	98	137
1	220	120
2	612	120
3	2378	120
4	5001	120

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

3.0ms	(+ x (sin y))
19.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
42.0ms	(+ (+ x (sin y)) (* z (cos y)))
36.0ms	(* z (cos y))

simplify74.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242

prune155.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* (* z (sqrt (cos y))) (sqrt (cos y)))
0.1b	(* z (sqrt (cos y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
15.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))
5.0ms	(* z (sqrt (cos y)))

series113.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (cos y))
14.0ms	(sqrt (cos y))
38.0ms	(* (* z (sqrt (cos y))) (sqrt (cos y)))
47.0ms	(* z (sqrt (cos y)))

simplify78.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	164	392
1	722	346
2	2844	340
3	5002	340

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x (sin y)) (cbrt (pow (* z (cos y)) 3)))
0.1b	(* z (cos y))
0.1b	(pow (* z (cos y)) 3)
38.5b	(cbrt (pow (* z (cos y)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
8×	`cbrt-prod`
4×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `distribute-lft-out`
3×	`pow-unpow` `associate-r` `associate-l` `sum-log`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+l+` `flip3-+` `pow1/3` `*-commutative` `rem-cbrt-cube` `flip-+` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

25.0ms	(+ (+ x (sin y)) (cbrt (pow (* z (cos y)) 3)))
4.0ms	(* z (cos y))
3.0ms	(pow (* z (cos y)) 3)
2.0ms	(cbrt (pow (* z (cos y)) 3))

series201.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (+ x (sin y)) (cbrt (pow (* z (cos y)) 3)))
35.0ms	(* z (cos y))
66.0ms	(pow (* z (cos y)) 3)
44.0ms	(cbrt (pow (* z (cos y)) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	251	433
1	1191	389
2	5001	384

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes65.0ms

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	8	4
1	8	4

end0.0ms

sample1.5s

Algorithm

intervals

Results

465.0ms	976×	body	1280	valid
452.0ms	5569×	body	80	valid
250.0ms	832×	body	640	valid
85.0ms	412×	body	320	valid
32.0ms	211×	body	160	valid