Details

sample41.0ms

Algorithm

intervals

Results

14.0ms	34×	body	1280	valid
10.0ms	180×	body	80	valid
5.0ms	19×	body	640	valid
2.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(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)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (sin y))
43.0ms	(fma (cos y) z (+ x (sin y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 1 (5.0ms)

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

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite24.0ms

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))
17.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series104.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
43.0ms	(+ (+ x (sin y)) (* z (cos y)))
36.0ms	(* z (cos y))

simplify79.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (7.0ms)

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

prune175.0ms

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 (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite14.0ms

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:

8.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
127.0ms	(cbrt (* z (cos y)))
124.0ms	(cbrt (* z (cos y)))
120.0ms	(cbrt (* z (cos y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	179	463
1	700	412
2	3661	382
3	5001	357

prune250.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
0.6b	(cbrt z)
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1/3` `associate-l`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 59

Calls

4 calls:

12.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
0.0ms	(cbrt z)
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series579.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(* (cbrt z) (* (cbrt (cos y)) (cbrt (* z (cos y)))))
175.0ms	(cbrt z)
127.0ms	(cbrt (* z (cos y)))
122.0ms	(cbrt (* z (cos y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	220	446
1	728	410
2	3246	388
3	5001	369

prune281.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample1.3s

Algorithm

intervals

Results

425.0ms	1011×	body	1280	valid
315.0ms	5568×	body	80	valid
199.0ms	781×	body	640	valid
77.0ms	404×	body	320	valid
34.0ms	236×	body	160	valid