Details

sample162.0ms

Algorithm

intervals

Results

66.0ms	57×	body	2560	valid
42.0ms	68×	body	1280	valid
17.0ms	44×	body	640	valid
5.0ms	20×	body	320	valid
5.0ms	58×	body	80	valid
3.0ms	1×	body	5120	valid
2.0ms	8×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 46.7b

localize25.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
2.5b	(* (* (+ (* a 2.0) 1.0) b) t)
32.9b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite25.0ms

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:

9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
9.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
3.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series168.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
41.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (52.0ms)

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

prune442.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.4b

localize14.0ms

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)))
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
35.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite28.0ms

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:

10.0ms	(* (+ (* y 2.0) 1.0) z)
4.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
9.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
3.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series199.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (+ (* y 2.0) 1.0) z)
75.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
43.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (41.0ms)

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

prune438.0ms

Pruning

41 alts after pruning (41 fresh and 0 done)

Merged error: 39.8b

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

prune152.0ms

Pruning

41 alts after pruning (40 fresh and 1 done)

Merged error: 39.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
1.0b	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
1.6b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
35.5b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log`
19×	`add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow1/3`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt t)
13.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
13.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
3.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series503.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
75.0ms	(* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t))
186.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
59.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	335	734
1	1521	569
2	5001	510

prune305.0ms

Pruning

54 alts after pruning (53 fresh and 1 done)

Merged error: 39.6b

regimes3.1s

Accuracy

0% (4.8b remaining)

Error of 44.4b against oracle of 39.6b and baseline of 44.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	3
1	13	3
2	13	3

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.0s	1783×	body	2560	valid
1.4s	2262×	body	1280	valid
490.0ms	1223×	body	640	valid
168.0ms	1889×	body	80	valid
147.0ms	533×	body	320	valid
111.0ms	44×	body	5120	valid
50.0ms	266×	body	160	valid