Details

sample177.0ms

Algorithm

intervals

Results

67.0ms	59×	body	2560	valid
55.0ms	87×	body	1280	valid
16.0ms	30×	body	640	valid
5.0ms	2×	body	5120	valid
5.0ms	56×	body	80	valid
3.0ms	11×	body	320	valid
2.0ms	11×	body	160	valid

simplify127.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.4b

localize33.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
2.4b	(* (* (+ (* y 2.0) 1.0) z) t)
34.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
37.3b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite37.0ms

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:

15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* 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))

series175.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
44.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (61.0ms)

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

prune453.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 42.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.3b	(* (+ (* a 2.0) 1.0) b)
2.2b	(* (* (+ (* a 2.0) 1.0) b) t)
34.2b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
10.0ms	(* (+ (* a 2.0) 1.0) b)
16.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
46.0ms	(* (+ (* a 2.0) 1.0) b)
45.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
43.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	331	633
1	1459	498
2	5001	467

prune472.0ms

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 40.2b

localize8.0ms

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

prune137.0ms

Pruning

33 alts after pruning (32 fresh and 1 done)

Merged error: 40.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
2.6b	(* (+ (* a 2.0) 1.0) (* b t))
34.3b	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `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-+` `flip-+`

Counts

3 → 51

Calls

3 calls:

7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* 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))

series165.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0)))
49.0ms	(* (+ (* a 2.0) 1.0) (* b t))
39.0ms	(cos (/ (* (+ (* a 2.0) 1.0) (* b t)) 16.0))

simplify136.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	288	526
1	1264	409
2	4866	381
3	5001	381

prune213.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 40.2b

regimes2.1s

Accuracy

0% (4.4b remaining)

Error of 44.4b against oracle of 40.0b and baseline of 44.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.2s	1886×	body	2560	valid
1.4s	2271×	body	1280	valid
457.0ms	1124×	body	640	valid
174.0ms	1876×	body	80	valid
156.0ms	538×	body	320	valid
100.0ms	38×	body	5120	valid
57.0ms	267×	body	160	valid