Details

sample101.0ms

Algorithm

intervals

Results

20.0ms	310×	body	80	nan
19.0ms	51×	body	1280	valid
11.0ms	17×	body	2560	valid
10.0ms	169×	body	80	valid
10.0ms	39×	body	640	valid
2.0ms	8×	body	320	valid
1.0ms	4×	body	160	valid

simplify14.0ms

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: 22.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.2b	(cos (- y (/ (* z t) 3.0)))

rewrite39.0ms

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:

3.0ms	(/ a (* b 3.0))
3.0ms	(/ (* z t) 3.0)
15.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
14.0ms	(cos (- y (/ (* z t) 3.0)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
17.0ms	(/ (* z t) 3.0)
93.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
39.0ms	(cos (- y (/ (* z t) 3.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (59.0ms)

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

prune439.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 17.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
28.4b	(cos (/ (* z t) 3.0))
28.8b	(sin (/ (* z t) 3.0))

rewrite36.0ms

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:

15.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
16.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series237.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
97.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (46.0ms)

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

prune430.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.8b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
28.4b	(cos (/ (* z t) 3.0))
28.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite49.0ms

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:

14.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
26.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
95.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
10.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	366	756
1	1546	597
2	5001	592

prune448.0ms

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 17.8b

localize36.0ms

Local error

Found 4 expressions with local error:

28.4b	(cos (/ (* z t) 3.0))
28.7b	(sin (* 0.3333333333333333 (* t z)))
28.7b	(sin (* 0.3333333333333333 (* t z)))
28.7b	(sin (* 0.3333333333333333 (* t z)))

rewrite14.0ms

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:

1.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(sin (* 0.3333333333333333 (* t z)))

series63.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (* 0.3333333333333333 (* t z)))
19.0ms	(sin (* 0.3333333333333333 (* t z)))
17.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify115.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	39	222
1	53	194
2	65	194
3	74	194
4	102	194
5	176	194
6	695	194
7	2267	194
8	5001	194

prune316.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.8b

regimes2.8s

Accuracy

59.3% (1.6b remaining)

Error of 17.8b against oracle of 16.2b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	46
1	60	46
2	60	46

end0.0ms

sample2.9s

Algorithm

intervals

Results

639.0ms	1628×	body	1280	valid
608.0ms	9145×	body	80	nan
345.0ms	5529×	body	80	valid
275.0ms	950×	body	640	valid
248.0ms	372×	body	2560	valid
79.0ms	402×	body	320	valid
29.0ms	192×	body	160	valid