Details

sample321.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
13.0ms	147×	body	80	valid
12.0ms	38×	body	640	valid
6.0ms	256×	pre	80	true
4.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify12.0ms

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

localize13.0ms

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))

rewrite17.0ms

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:

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

series175.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
36.0ms	(* e (sin v))
53.0ms	(* 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

prune156.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))
4.4b	(log (exp (* e (cos v))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`times-frac` `associate-/r*` `log-pow` `add-log-exp`
4×	`distribute-lft-out`
3×	`log-prod` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `flip3-+` `rem-log-exp` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 77

Calls

4 calls:

9.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
3.0ms	(* e (sin v))
5.0ms	(* e (cos v))
1.0ms	(log (exp (* e (cos v))))

series187.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(/ (* e (sin v)) (+ 1.0 (log (exp (* e (cos v))))))
35.0ms	(* e (sin v))
36.0ms	(* e (cos v))
34.0ms	(log (exp (* e (cos v))))

simplify41.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	312	543
1	1394	463
2	5001	447

prune217.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ (* e (cos v)) 1.0) (* 1 (sin v)))
0.1b	(* e (cos v))
0.3b	(/ e (/ (+ (* e (cos v)) 1.0) (* 1 (sin v))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
25×	`add-sqr-sqrt`
24×	`add-exp-log`
23×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-cbrt-cube`
10×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`pow1` `prod-exp`
3×	`associate-r` `associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`flip3-+` `pow-prod-down` `associate-/r/` `*-commutative` `flip-+` `unswap-sqr`

Counts

3 → 91

Calls

3 calls:

12.0ms	(/ (+ (* e (cos v)) 1.0) (* 1 (sin v)))
3.0ms	(* e (cos v))
8.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (* 1 (sin v))))

series183.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (+ (* e (cos v)) 1.0) (* 1 (sin v)))
34.0ms	(* e (cos v))
83.0ms	(/ e (/ (+ (* e (cos v)) 1.0) (* 1 (sin v))))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	477	901
1	2118	798
2	5001	793

prune224.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/2))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))
4.4b	(log (exp (* e (cos v))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
19×	`add-sqr-sqrt`
13×	`add-cbrt-cube`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`associate-r` `prod-exp`
9×	`pow1`
5×	`cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`log-prod` `sqrt-prod` `log-pow` `*-commutative`
2×	`pow-to-exp` `pow-prod-down` `pow-exp` `sqr-pow`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 79

Calls

4 calls:

3.0ms	(* e (cos v))
6.0ms	(* (sin v) (pow e 1/2))
12.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
1.0ms	(log (exp (* e (cos v))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* e (cos v))
52.0ms	(* (sin v) (pow e 1/2))
46.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))
35.0ms	(log (exp (* e (cos v))))

simplify46.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	315	469
1	1291	382
2	5001	359

prune252.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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	14	8
1	14	8

end0.0ms

sample2.0s

Algorithm

intervals

Results

736.0ms	1548×	body	1280	valid
397.0ms	1261×	body	640	valid
323.0ms	4281×	body	80	valid
150.0ms	8000×	pre	80	true
129.0ms	587×	body	320	valid
53.0ms	323×	body	160	valid