Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
9.0ms	38×	body	640	valid
8.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (cos y) z (+ x (sin y)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma (cos y) z (+ x (sin y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	74
1	70	63
2	283	63
3	1390	63
4	5001	63

prune38.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (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 (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series782.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt (fma (cos y) z (+ x (sin y)))) (cbrt (fma (cos y) z (+ x (sin y)))))
192.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
191.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
189.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify47.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	349	1228
1	1568	1141
2	5001	1051

prune321.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))

rewrite3.0ms

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:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
1.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

series945.0ms

Counts

4 → 12

Calls

4 calls:

369.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
190.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
195.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
191.0ms	(cbrt (fma (cos y) z (+ x (sin y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	181	796
1	638	744
2	3397	708
3	5002	704

prune364.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.6b	(cbrt (fma (cos y) z (+ x (sin y))))
0.9b	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
0.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
3.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

series771.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
180.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
184.0ms	(cbrt (fma (cos y) z (+ x (sin y))))
219.0ms	(pow (cbrt (cbrt (fma (cos y) z (+ x (sin y))))) 4)

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	385	963
1	1456	904
2	5002	859

prune338.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes106.0ms

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

403.0ms	981×	body	1280	valid
279.0ms	5550×	body	80	valid
208.0ms	867×	body	640	valid
72.0ms	406×	body	320	valid
23.0ms	195×	body	160	valid
1.0ms	1×	body	2560	valid