Details

sample291.0ms

Algorithm

intervals

Results

21.0ms	50×	body	1280	valid
10.0ms	36×	body	640	valid
7.0ms	138×	body	80	valid
4.0ms	256×	pre	80	true
4.0ms	21×	body	320	valid
1.0ms	11×	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

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))

rewrite19.0ms

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))))
4.0ms	(* e (sin v))
6.0ms	(* e (cos v))

series185.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (sin v))
57.0ms	(* 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

prune155.0ms

Pruning

6 alts after pruning (5 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)))

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:

4.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series195.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* e (cos v))
70.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
87.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify64.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 1 (13.0ms)

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

prune321.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/2))
0.3b	(* (sqrt e) (* (sin v) (pow e 1/2)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
11×	`associate-r`
8×	`pow1` `cbrt-unprod`
5×	`div-exp`
4×	`unpow-prod-down` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `pow-to-exp` `times-frac` `pow-exp` `associate-/r` `sqrt-prod` `-commutative`
2×	`pow-prod-down` `associate-/r/` `sqr-pow`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 92

Calls

4 calls:

10.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
4.0ms	(* e (cos v))
6.0ms	(* (sin v) (pow e 1/2))
7.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

series236.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(/ (* (sqrt e) (* (sin v) (pow e 1/2))) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
54.0ms	(* (sin v) (pow e 1/2))
48.0ms	(* (sqrt e) (* (sin v) (pow e 1/2)))

simplify88.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	573	823
1	2895	661
2	5002	647

prune267.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.2b	(* (sin v) (pow e 1/4))
0.3b	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))
0.3b	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-exp-log`
59×	`prod-exp`
22×	`add-cbrt-cube`
20×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow-to-exp` `pow-exp`
13×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
11×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
4×	`*-commutative` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod` `sqr-pow`
2×	`pow-prod-down`

Counts

4 → 105

Calls

4 calls:

4.0ms	(* e (cos v))
6.0ms	(* (sin v) (pow e 1/4))
8.0ms	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))
11.0ms	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))

series229.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* e (cos v))
85.0ms	(* (sin v) (pow e 1/4))
56.0ms	(* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2)))
49.0ms	(* (sqrt e) (* (* (sin v) (pow e 1/4)) (pow e (/ 1/2 2))))

simplify72.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	459	768
1	2094	623
2	5002	519

prune274.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes93.0ms

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

sample1.6s

Algorithm

intervals

Results

615.0ms	1473×	body	1280	valid
329.0ms	1296×	body	640	valid
225.0ms	4321×	body	80	valid
116.0ms	8000×	pre	80	true
107.0ms	599×	body	320	valid
38.0ms	311×	body	160	valid