Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	31×	body	1280	valid
12.0ms	180×	body	80	valid
8.0ms	26×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (sin y))
40.0ms	(fma (cos y) z (+ x (sin y)))

simplify59.0ms

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

prune274.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
0.5b	(cbrt (+ x (sin y)))
0.5b	(cbrt (+ x (sin y)))
0.5b	(cbrt (+ x (sin y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 103

Calls

4 calls:

23.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
2.0ms	(cbrt (+ x (sin y)))
3.0ms	(cbrt (+ x (sin y)))
2.0ms	(cbrt (+ x (sin y)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (cbrt (+ x (sin y))) (cbrt (+ x (sin y))))
57.0ms	(cbrt (+ x (sin y)))
58.0ms	(cbrt (+ x (sin y)))
55.0ms	(cbrt (+ x (sin y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	353	1062
1	1350	1002
2	5001	932

prune380.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (sin y)))
0.5b	(cbrt (+ x (sin y)))
0.6b	(cbrt (cbrt (+ x (sin y))))
0.6b	(cbrt (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `frac-times` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-r/` `associate-l/`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (+ x (sin y)))
4.0ms	(cbrt (+ x (sin y)))
5.0ms	(cbrt (cbrt (+ x (sin y))))
13.0ms	(cbrt (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(cbrt (+ x (sin y)))
56.0ms	(cbrt (+ x (sin y)))
54.0ms	(cbrt (cbrt (+ x (sin y))))
54.0ms	(cbrt (* (cbrt (+ x (sin y))) (cbrt (+ x (sin y)))))

simplify41.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	450	876
1	1440	829
2	5001	816

prune356.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (cos y) z (+ x (sin y))))
0.0b	(fma (cos y) z (+ x (sin y)))
0.0b	(fma (cos y) z (+ x (sin y)))
0.3b	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
0.0ms	(fma (cos y) z (+ x (sin y)))
0.0ms	(fma (cos y) z (+ x (sin y)))
7.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(sqrt (fma (cos y) z (+ x (sin y))))
39.0ms	(fma (cos y) z (+ x (sin y)))
37.0ms	(fma (cos y) z (+ x (sin y)))
41.0ms	(* (sqrt (fma (cos y) z (+ x (sin y)))) (sqrt (fma (cos y) z (+ x (sin y)))))

simplify142.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	186	668
1	643	577
2	3624	548
3	5001	525

prune211.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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

sample1.2s

Algorithm

intervals

Results

424.0ms	1020×	body	1280	valid
281.0ms	5536×	body	80	valid
211.0ms	837×	body	640	valid
68.0ms	408×	body	320	valid
23.0ms	199×	body	160	valid