Details

sample371.0ms

Algorithm

intervals

Results

20.0ms	48×	body	1280	valid
13.0ms	49×	body	640	valid
8.0ms	128×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	17×	body	320	valid
2.0ms	14×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

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))

rewrite39.0ms

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:

15.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
9.0ms	(* e (sin v))
10.0ms	(* e (cos v))

series179.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
48.0ms	(* e (sin v))
48.0ms	(* 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

prune167.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

8.0ms	(* e (cos v))
8.0ms	(* e (cos v))
9.0ms	(* e (sin v))
34.0ms	(* (* e (cos v)) (* e (cos v)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* e (cos v))
34.0ms	(* e (cos v))
34.0ms	(* e (sin v))
52.0ms	(* (* e (cos v)) (* e (cos v)))

simplify161.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	186	378
1	860	300
2	4588	289
3	5001	289

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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 (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
33×	`associate-r`
31×	`add-exp-log`
28×	`times-frac`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-l` `add-cbrt-cube`
14×	`cbrt-div`
12×	`pow1`
11×	`cbrt-prod` `prod-exp` `cbrt-unprod`
10×	`associate-/r/`
9×	`unswap-sqr`
7×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
5×	`frac-times`
4×	`pow-prod-down` `*-commutative` `add-log-exp`
3×	`associate-r/` `associate-l/`
2×	`div-inv`

Counts

4 → 123

Calls

4 calls:

8.0ms	(* e (cos v))
8.0ms	(* e (cos v))
8.0ms	(* e (cos v))
80.0ms	(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* e (cos v))
35.0ms	(* e (cos v))
31.0ms	(* e (cos v))
80.0ms	(* (/ e (* (cbrt (+ 1.0 (* e (cos v)))) (cbrt (+ 1.0 (* e (cos v)))))) (/ (sin v) (cbrt (+ 1.0 (* e (cos v))))))

simplify77.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	602	1716
1	2926	1509
2	5002	1398

prune387.0ms

Pruning

8 alts after pruning (7 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)))

rewrite49.0ms

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:

8.0ms	(* e (cos v))
22.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
15.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series176.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* e (cos v))
63.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
80.0ms	(/ 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

prune308.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes74.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	15	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

661.0ms	1596×	body	1280	valid
318.0ms	1262×	body	640	valid
226.0ms	4179×	body	80	valid
113.0ms	643×	body	320	valid
88.0ms	8000×	pre	80	true
42.0ms	320×	body	160	valid