Details

sample160.0ms

Algorithm

intervals

Results

38.0ms	295×	body	80	nan
37.0ms	58×	body	1280	valid
24.0ms	165×	body	80	valid
14.0ms	29×	body	640	valid
11.0ms	12×	body	2560	valid
5.0ms	15×	body	320	valid
2.0ms	9×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
0.4b	(/ a (* b 3.0))
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series160.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ (* z t) 3.0)
21.0ms	(/ a (* b 3.0))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune319.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 19.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ a (* b 3.0))
29.6b	(cos (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 56

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
1.0ms	(cos (/ (* z t) 3.0))
1.0ms	(sin (/ (* z t) 3.0))

series63.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
18.0ms	(/ a (* b 3.0))
9.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	235	265
1	911	221
2	4042	221
3	5001	221

prune424.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 19.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ a (* b 3.0))
29.6b	(cos (/ (* z t) 3.0))
30.2b	(sin (/ z (/ 3.0 t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 56

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
1.0ms	(cos (/ (* z t) 3.0))
8.0ms	(sin (/ z (/ 3.0 t)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
19.0ms	(/ a (* b 3.0))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ z (/ 3.0 t)))

simplify82.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	237	265
1	934	221
2	4183	221
3	5001	221

prune468.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 18.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
0.4b	(/ a (* b 3.0))
29.9b	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
30.2b	(sin (/ z (/ 3.0 t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
17×	`add-cbrt-cube`
6×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `times-frac` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 56

Calls

4 calls:

8.0ms	(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
3.0ms	(/ a (* b 3.0))
5.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
6.0ms	(sin (/ z (/ 3.0 t)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
25.0ms	(/ a (* b 3.0))
57.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
15.0ms	(sin (/ z (/ 3.0 t)))

simplify34.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	287	391
1	1212	317
2	5001	316

prune359.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 18.8b

regimes4.0s

Accuracy

55.7% (1.7b remaining)

Error of 18.4b against oracle of 16.7b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	35
1	55	35

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.2s	9323×	body	80	nan
1.0s	1614×	body	1280	valid
753.0ms	5557×	body	80	valid
449.0ms	934×	body	640	valid
364.0ms	384×	body	2560	valid
157.0ms	443×	body	320	valid
52.0ms	200×	body	160	valid