Details

sample159.0ms

Algorithm

intervals

Results

56.0ms	49×	body	2560	valid
49.0ms	71×	body	1280	valid
17.0ms	42×	body	640	valid
7.0ms	76×	body	80	valid
3.0ms	10×	body	320	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify99.0ms

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: 42.4b

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
3.6b	(* (* (+ (* a 2.0) 1.0) b) t)
30.6b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
33.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) 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:

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

series158.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
35.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms	(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

prune453.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 37.5b

localize20.0ms

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)))
1.5b	(* (* (+ (* y 2.0) 1.0) z) t)
30.6b	(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:

10.0ms	(* (+ (* 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:

38.0ms	(* (+ (* y 2.0) 1.0) z)
70.0ms	(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (37.0ms)

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

prune497.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 36.3b

localize7.0ms

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

prune163.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 36.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
3.6b	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
31.0b	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt t)
28.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
2.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

series602.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
186.0ms	(cbrt t)
177.0ms	(* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t))))
55.0ms	(cos (/ (* (* (fma y 2.0 1.0) (* z (* (cbrt t) (cbrt t)))) (cbrt t)) 16.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	243	456
1	949	372
2	5001	346

prune340.0ms

Pruning

46 alts after pruning (45 fresh and 1 done)

Merged error: 36.1b

regimes3.3s

Accuracy

0% (4.7b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.1s	1858×	body	2560	valid
1.4s	2264×	body	1280	valid
454.0ms	1118×	body	640	valid
180.0ms	1900×	body	80	valid
161.0ms	562×	body	320	valid
116.0ms	43×	body	5120	valid
50.0ms	255×	body	160	valid