Details

sample160.0ms

Algorithm

intervals

Results

71.0ms	68×	body	2560	valid
39.0ms	71×	body	1280	valid
19.0ms	42×	body	640	valid
4.0ms	55×	body	80	valid
2.0ms	8×	body	320	valid
2.0ms	12×	body	160	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.4b

localize23.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
3.4b	(* (* (+ (* a 2.0) 1.0) b) t)
35.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
36.1b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
7.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series138.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
36.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
32.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
31.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify52.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune420.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 43.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.1b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.4b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`associate-*l/`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`flip3-+` `flip-+` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

24.0ms	(* (+ (* y 2.0) 1.0) z)
8.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series165.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (+ (* y 2.0) 1.0) z)
62.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
37.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
33.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	296	552
1	1322	461
2	5002	458

prune428.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 41.0b

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify4.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune184.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

Merged error: 41.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
3.9b	(* (* t z) (fma 2.0 y 1.0))
35.4b	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

8.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
16.0ms	(* (* t z) (fma 2.0 y 1.0))
4.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

series131.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* x (cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0)))
49.0ms	(* (* t z) (fma 2.0 y 1.0))
22.0ms	(cos (/ (* (* t z) (fma 2.0 y 1.0)) 16.0))

simplify120.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	222	390
1	1026	326
2	4815	326
3	5001	326

prune179.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 40.6b

regimes1.9s

Accuracy

0% (4.6b remaining)

Error of 43.9b against oracle of 39.4b and baseline of 43.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	1787×	body	2560	valid
1.3s	2228×	body	1280	valid
425.0ms	1191×	body	640	valid
156.0ms	1917×	body	80	valid
139.0ms	560×	body	320	valid
99.0ms	41×	body	5120	valid
54.0ms	276×	body	160	valid