Details

sample233.0ms

Algorithm

intervals

Results

92.0ms	61×	body	2560	valid
65.0ms	73×	body	1280	valid
24.0ms	30×	body	640	valid
12.0ms	69×	body	80	valid
6.0ms	2×	body	5120	valid
5.0ms	11×	body	320	valid
3.0ms	10×	body	160	valid

simplify100.0ms

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: 44.7b

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
2.5b	(* (* (+ (* y 2.0) 1.0) z) t)
33.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
34.1b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite39.0ms

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

series160.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
42.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
38.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
36.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (50.0ms)

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

prune455.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 40.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
1.5b	(* (* (+ (* a 2.0) 1.0) b) t)
33.0b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

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

series154.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (* x 1) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
46.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
36.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	298	466
1	1213	381
2	5001	374

prune322.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 38.9b

localize6.0ms

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

prune111.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 38.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
3.3b	(* (+ (* a 2.0) 1.0) (* b t))
33.0b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

7.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
17.0ms	(* (+ (* a 2.0) 1.0) (* b t))
2.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

series168.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* (* x 1) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
46.0ms	(* (+ (* a 2.0) 1.0) (* b t))
41.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify126.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	289	468
1	1111	383
2	4167	379
3	5001	379

prune184.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 38.9b

regimes1.7s

Accuracy

-12.2% (4.9b remaining)

Error of 45.2b against oracle of 40.4b and baseline of 44.7b

bsearch276.0ms

Steps

Iters	Range		Point
5	2.196246566706951e+139	4.937411877834677e+139	2.2184311219338817e+139
7	-3.00883773964047e-256	-7.36793018594105e-258	-1.1779311528106351e-256

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	27
1	56	27
2	56	27

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.7s	1896×	body	2560	valid
1.9s	2240×	body	1280	valid
749.0ms	1226×	body	640	valid
318.0ms	1854×	body	80	valid
237.0ms	523×	body	320	valid
119.0ms	41×	body	5120	valid
85.0ms	220×	body	160	valid