Details

sample51.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
10.0ms	40×	body	640	valid
8.0ms	149×	body	80	valid
2.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	15	4
2	15	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

8.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series149.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ (* x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))
39.0ms	(* x (sin y))

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	197	270
1	757	245
2	2524	245
3	5001	244

prune174.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (cos y) z (* x (sin y)))
0.1b	(* x (sin y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (cos y) z (* x (sin y)))
4.0ms	(* x (sin y))

series118.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma (cos y) z (* x (sin y)))
38.0ms	(* x (sin y))

simplify40.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	101	155
1	347	136
2	1297	135
3	5002	134

prune114.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite12.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series452.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))

simplify106.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	128	471
1	500	419
2	3232	387
3	5002	381

prune301.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.6b	(expm1 (cbrt (cos y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`log1p-expm1-u`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`expm1-log1p` `expm1-udef`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(expm1 (cbrt (cos y)))

series507.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (cos y))
102.0ms	(cbrt (cos y))
100.0ms	(cbrt (cos y))
203.0ms	(expm1 (cbrt (cos y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	98	255
1	306	233
2	1049	227
3	5001	227

prune227.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	14
1	18	14

end0.0ms

sample1.5s

Algorithm

intervals

Results

629.0ms	1521×	body	1280	valid
313.0ms	1252×	body	640	valid
244.0ms	4336×	body	80	valid
111.0ms	623×	body	320	valid
31.0ms	268×	body	160	valid