Details

sample317.0ms

Algorithm

intervals

Results

24.0ms	49×	body	1280	valid
13.0ms	44×	body	640	valid
11.0ms	130×	body	80	valid
6.0ms	256×	pre	80	true
5.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune9.0ms

Pruning

2 alts after pruning (2 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))

rewrite26.0ms

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×	`expm1-log1p-u` `times-frac` `prod-exp` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `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 → 65

Calls

3 calls:

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

series170.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
37.0ms	(* e (sin v))
45.0ms	(* e (cos v))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	303	422
1	1415	368
2	5001	362

prune178.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

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

series143.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* e (cos v))
38.0ms	(* e (cos v))
34.0ms	(* e (cos v))
37.0ms	(* e (cos v))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	62	312
1	221	272
2	518	272
3	798	272
4	1903	272
5	5002	272

prune299.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite52.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 162

Calls

4 calls:

6.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
33.0ms	(* (/ 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))

series250.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (sin v) (sqrt (+ 1.0 (* e (cos v)))))
85.0ms	(* (/ e (sqrt (+ 1.0 (* e (cos v))))) (/ (sin v) (sqrt (+ 1.0 (* e (cos v))))))
34.0ms	(* e (cos v))
37.0ms	(* e (cos v))

simplify83.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	650	2002
1	2939	1830
2	5001	1738

prune454.0ms

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

rewrite22.0ms

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×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `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 → 123

Calls

3 calls:

8.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
3.0ms	(* e (cos v))
7.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series191.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
39.0ms	(* e (cos v))
84.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify65.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	530	1326
1	2377	1222
2	5001	1212

prune327.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes65.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

688.0ms	1478×	body	1280	valid
390.0ms	1258×	body	640	valid
375.0ms	4313×	body	80	valid
173.0ms	8000×	pre	80	true
141.0ms	650×	body	320	valid
47.0ms	301×	body	160	valid