Details

sample102.0ms

Algorithm

intervals

Results

19.0ms	48×	body	1280	valid
17.0ms	301×	body	80	nan
11.0ms	17×	body	2560	valid
11.0ms	176×	body	80	valid
10.0ms	23×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	10×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	33	10
1	58	10
2	82	10
3	99	10
4	107	10
5	109	10
6	109	10

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.3b	(cos (- y (/ (* z t) 3.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

5.0ms	(/ (* z t) 3.0)
5.0ms	(/ a (* b 3.0))
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
9.0ms	(cos (- y (/ (* z t) 3.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
20.0ms	(/ a (* b 3.0))
106.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
42.0ms	(cos (- y (/ (* z t) 3.0)))

simplify81.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	685	1511
1	2361	1261
2	5001	1258

prune499.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 15.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.8b	(cos (/ (* z t) 3.0))
29.1b	(sin (/ (* z t) 3.0))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

9.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
10.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (/ (* z t) 3.0))

series250.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
103.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	362	756
1	1523	597
2	5002	592

prune481.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 15.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
2.3b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.9b	(cos (* 0.3333333333333333 (* t z)))
29.1b	(sin (/ (* z t) 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-r` `associate-l` `-commutative`
1×	`cos-mult` `sin-mult`

Counts

4 → 68

Calls

4 calls:

10.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
10.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
2.0ms	(sin (/ (* z t) 3.0))

series261.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
105.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms	(cos (* 0.3333333333333333 (* t z)))
18.0ms	(sin (/ (* z t) 3.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	366	756
1	1552	597
2	5001	592

prune506.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.1b

localize43.0ms

Local error

Found 4 expressions with local error:

28.9b	(cos (* 0.3333333333333333 (* t z)))
28.9b	(cos (* 0.3333333333333333 (* t z)))
28.9b	(cos (* 0.3333333333333333 (* t z)))
29.1b	(sin (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
3.0ms	(sin (/ (* z t) 3.0))

series51.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (* 0.3333333333333333 (* t z)))
11.0ms	(cos (* 0.3333333333333333 (* t z)))
11.0ms	(cos (* 0.3333333333333333 (* t z)))
18.0ms	(sin (/ (* z t) 3.0))

simplify121.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	39	218
1	55	190
2	66	190
3	75	190
4	103	190
5	177	190
6	696	190
7	2268	190
8	5001	190

prune345.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 15.0b

regimes3.3s

Accuracy

57.3% (1.7b remaining)

Error of 17.9b against oracle of 16.2b and baseline of 20.2b

bsearch4.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	58
1	64	58
2	64	58

end0.0ms

sample2.9s

Algorithm

intervals

Results

666.0ms	1607×	body	1280	valid
535.0ms	8986×	body	80	nan
341.0ms	5557×	body	80	valid
268.0ms	931×	body	640	valid
260.0ms	371×	body	2560	valid
93.0ms	426×	body	320	valid
35.0ms	200×	body	160	valid