Details

sample308.0ms

Algorithm

intervals

Results

18.0ms	44×	body	1280	valid
9.0ms	151×	body	80	valid
8.0ms	34×	body	640	valid
4.0ms	256×	pre	80	true
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

26.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (sin v))
11.0ms	(* e (cos v))

series159.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
35.0ms	(* e (sin v))
42.0ms	(* e (cos v))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	295	396
1	1372	344
2	5001	344

prune155.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
66×	`times-frac`
49×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
30×	`associate-r` `associate-l`
22×	`add-exp-log` `add-cbrt-cube`
11×	`unswap-sqr`
10×	`pow1`
6×	`sqrt-div` `prod-exp` `associate-/r*` `associate-/r/` `cbrt-unprod`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`flip3-+` `pow-prod-down` `-commutative` `flip-+` `div-inv` `associate-/l`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 154

Calls

4 calls:

14.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
9.0ms	(* e (cos v))
10.0ms	(* e (cos v))
57.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

series234.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
35.0ms	(* e (cos v))
31.0ms	(* e (cos v))
80.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))

simplify79.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	636	1951
1	2873	1785
2	5002	1709

prune418.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
12×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp`
3×	`associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

9.0ms	(* e (cos v))
23.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
14.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* e (cos v))
65.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
76.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify70.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	518	1298
1	2327	1224
2	5001	1224

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ e (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
18×	`associate-l`
12×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
6×	`associate-r`
4×	`associate-/r/`
3×	`prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `*-commutative` `flip-+` `div-inv`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 81

Calls

3 calls:

9.0ms	(/ e (+ 1.0 (* e (cos v))))
9.0ms	(* e (cos v))
26.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

series163.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ e (+ 1.0 (* e (cos v))))
36.0ms	(* e (cos v))
79.0ms	(* (/ e (+ 1.0 (* e (cos v)))) (sin v))

simplify49.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	389	667
1	1630	603
2	5002	600

prune199.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	6
1	12	6

end0.0ms

sample1.7s

Algorithm

intervals

Results

631.0ms	1524×	body	1280	valid
319.0ms	1252×	body	640	valid
231.0ms	4269×	body	80	valid
109.0ms	615×	body	320	valid
96.0ms	8000×	pre	80	true
41.0ms	340×	body	160	valid