Details

sample154.0ms

Algorithm

intervals

Results

61.0ms	53×	body	2560	valid
46.0ms	79×	body	1280	valid
13.0ms	37×	body	640	valid
5.0ms	20×	body	320	valid
5.0ms	59×	body	80	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	14
1	99	14
2	222	14
3	402	14
4	676	14
5	928	14
6	1116	14
7	1206	14
8	1368	14
9	1380	14
10	1380	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize29.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.0b	(* (* (+ (* y 2.0) 1.0) z) t)
34.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite35.0ms

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×	`add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 54

Calls

4 calls:

15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
1.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
40.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
34.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	371	438
1	1835	354
2	5001	354

prune530.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 42.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
37.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
23×	`add-cbrt-cube`
14×	`pow1`
11×	`prod-exp`
9×	`cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`associate-r` `pow-prod-down`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `1-exp` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

7.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
16.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
47.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
40.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	414	640
1	1984	510
2	5001	510

prune341.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.0b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune114.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
0.2b	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
2.2b	(* (+ (* a 2.0) 1.0) (* b t))
37.4b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
23×	`add-cbrt-cube`
14×	`pow1`
11×	`prod-exp`
9×	`cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down`
4×	`associate-r` `associate-l` `associate-*l/` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `1-exp` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 71

Calls

4 calls:

6.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
9.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
13.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series191.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
45.0ms	(/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)
44.0ms	(* (+ (* a 2.0) 1.0) (* b t))
34.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	406	642
1	1813	512
2	5002	512

prune216.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 39.9b

regimes2.0s

Accuracy

-10.8% (5.1b remaining)

Error of 44.8b against oracle of 39.7b and baseline of 44.3b

bsearch313.0ms

Steps

Iters	Range		Point
7	429339.5933175126	12398998.066176346	939077.0840669031
9	-6.835067609568925e+102	-1.703279309856661e+96	-1.1599561062431082e+97

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	27
1	59	27
2	59	27

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.0s	1879×	body	2560	valid
1.3s	2245×	body	1280	valid
434.0ms	1142×	body	640	valid
158.0ms	1902×	body	80	valid
151.0ms	556×	body	320	valid
102.0ms	41×	body	5120	valid
41.0ms	235×	body	160	valid