Details

sample164.0ms

Algorithm

intervals

Results

72.0ms	64×	body	2560	valid
44.0ms	74×	body	1280	valid
12.0ms	32×	body	640	valid
9.0ms	58×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	12×	body	160	valid

simplify102.0ms

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: 46.5b

localize24.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
1.9b	(* (* (+ (* a 2.0) 1.0) b) t)
34.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite40.0ms

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:

16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
19.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (51.0ms)

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

prune428.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (* y 2.0) 1.0) z)
0.2b	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite33.0ms

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:

11.0ms	(* (+ (* y 2.0) 1.0) z)
3.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
45.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (40.0ms)

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

prune471.0ms

Pruning

40 alts after pruning (40 fresh and 0 done)

Merged error: 40.0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune154.0ms

Pruning

40 alts after pruning (39 fresh and 1 done)

Merged error: 40.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
0.4b	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.7b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

0.0ms	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
0.0ms	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series247.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(expm1 (log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))))
104.0ms	(log1p (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
46.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	237	452
1	1082	379
2	5001	376

prune261.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 40.0b

regimes2.4s

Accuracy

0% (4.3b remaining)

Error of 44.1b against oracle of 39.8b and baseline of 44.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.1s	1849×	body	2560	valid
1.3s	2255×	body	1280	valid
433.0ms	1152×	body	640	valid
174.0ms	1924×	body	80	valid
150.0ms	535×	body	320	valid
86.0ms	33×	body	5120	valid
53.0ms	252×	body	160	valid