Details

sample313.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
9.0ms	34×	body	640	valid
7.0ms	139×	body	80	valid
6.0ms	27×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	10×	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

prune3.0ms

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))

rewrite18.0ms

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:

6.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
3.0ms	(* e (sin v))
5.0ms	(* e (cos v))

series179.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
55.0ms	(* e (cos v))

simplify42.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (8.0ms)

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

prune157.0ms

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

rewrite53.0ms

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:

6.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
35.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
3.0ms	(* e (cos v))
3.0ms	(* e (cos v))

series252.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
86.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
38.0ms	(* e (cos v))
35.0ms	(* e (cos v))

simplify76.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (61.0ms)

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

prune433.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
22×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
16×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 88

Calls

4 calls:

3.0ms	(* e (cos v))
3.0ms	(* e (cos v))
6.0ms	(* e (cos v))
11.0ms	(* (* e (cos v)) (* e (cos v)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* e (cos v))
34.0ms	(* e (cos v))
38.0ms	(* e (cos v))
53.0ms	(* (* e (cos v)) (* e (cos v)))

simplify142.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	138	375
1	679	299
2	3723	288
3	5001	288

prune328.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

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:

3.0ms	(* e (cos v))
7.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
6.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* e (cos v))
68.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
85.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify63.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune312.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

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	30	27
1	30	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

629.0ms	1496×	body	1280	valid
315.0ms	1255×	body	640	valid
223.0ms	4294×	body	80	valid
113.0ms	660×	body	320	valid
100.0ms	8000×	pre	80	true
44.0ms	295×	body	160	valid