Details

sample159.0ms

Algorithm

intervals

Results

64.0ms	61×	body	2560	valid
47.0ms	76×	body	1280	valid
13.0ms	35×	body	640	valid
4.0ms	57×	body	80	valid
4.0ms	17×	body	320	valid
3.0ms	1×	body	5120	valid
2.0ms	9×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 47.2b

localize26.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* (+ (* a 2.0) 1.0) b) t)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
34.5b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) 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:

39.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
37.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
32.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (48.0ms)

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

prune403.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
0.2b	(* (+ (* y 2.0) 1.0) z)
2.7b	(* (* (+ (* y 2.0) 1.0) z) t)
36.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3-+` `times-frac` `div-exp` `associate-/r*` `flip-+`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

41.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
27.0ms	(* (+ (* y 2.0) 1.0) z)
39.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
4.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series147.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)
39.0ms	(* (+ (* y 2.0) 1.0) z)
36.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
31.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	376	540
1	1924	436
2	5002	431

prune398.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 40.5b

localize3.0ms

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

prune103.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 40.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 16.0 (* z (fma y 2.0 1.0)))
0.9b	(/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t))
2.3b	(/ (/ 16.0 (* z (fma y 2.0 1.0))) t)
36.2b	(cos (/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

231×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log`
32×	`add-cbrt-cube`
30×	`div-exp`
29×	`associate-/r*`
23×	`div-inv`
16×	`cbrt-undiv`
13×	`associate-/l*`
5×	`pow1` `prod-exp`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod`
1×	`pow-flip` `associate-/r/` `associate-/l/` `inv-pow`

Counts

4 → 216

Calls

4 calls:

7.0ms	(/ 16.0 (* z (fma y 2.0 1.0)))
23.0ms	(/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t))
14.0ms	(/ (/ 16.0 (* z (fma y 2.0 1.0))) t)
14.0ms	(cos (/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 16.0 (* z (fma y 2.0 1.0)))
48.0ms	(/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t))
53.0ms	(/ (/ 16.0 (* z (fma y 2.0 1.0))) t)
24.0ms	(cos (/ 1 (/ (/ 16.0 (* z (fma y 2.0 1.0))) t)))

simplify107.0ms

Algorithm

egg-herbie

Counts

228 → 228

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	896	2049
1	4532	1770
2	5002	1759

prune673.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 40.1b

regimes2.0s

Accuracy

0% (4.9b remaining)

Error of 45.1b against oracle of 40.2b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	0
1	8	0

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.0s	1867×	body	2560	valid
1.3s	2280×	body	1280	valid
441.0ms	1209×	body	640	valid
352.0ms	564×	body	320	valid
148.0ms	1786×	body	80	valid
88.0ms	36×	body	5120	valid
44.0ms	258×	body	160	valid