Details

sample111.0ms

Algorithm

intervals

Results

27.0ms	58×	body	1280	valid
21.0ms	295×	body	80	nan
11.0ms	165×	body	80	valid
9.0ms	29×	body	640	valid
8.0ms	12×	body	2560	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify20.0ms

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: 23.7b

localize18.0ms

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)))

rewrite43.0ms

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:

19.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
14.0ms	(cos (- y (/ (* z t) 3.0)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
24.0ms	(/ (* z t) 3.0)
20.0ms	(/ a (* b 3.0))
36.0ms	(cos (- y (/ (* z t) 3.0)))

simplify83.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (67.0ms)

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

prune546.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 18.8b

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))
30.1b	(sin (/ (* z t) 3.0))

rewrite11.0ms

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` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 64

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
1.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series74.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z t) 3.0)
21.0ms	(/ a (* b 3.0))
11.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify99.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	243	293
1	919	249
2	4050	249
3	5001	249

prune593.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 18.8b

localize30.0ms

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)))

rewrite15.0ms

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` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`

Counts

4 → 64

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
1.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ z (/ 3.0 t)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (* z t) 3.0)
24.0ms	(/ a (* b 3.0))
10.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ z (/ 3.0 t)))

simplify98.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	245	293
1	942	249
2	4191	249
3	5001	249

prune596.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 18.7b

localize33.0ms

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)))

rewrite21.0ms

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` `expm1-log1p-u` `times-frac` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 64

Calls

4 calls:

6.0ms	(/ (* 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)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (* z t) (* (cbrt 3.0) (cbrt 3.0)))
19.0ms	(/ a (* b 3.0))
69.0ms	(cos (/ (/ (* z t) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
18.0ms	(sin (/ z (/ 3.0 t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	295	435
1	1220	361
2	5001	360

prune461.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 18.7b

regimes4.4s

Accuracy

53.5% (1.8b remaining)

Error of 18.4b against oracle of 16.6b and baseline of 20.5b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	35
1	55	35

end0.0ms

sample3.3s

Algorithm

intervals

Results

722.0ms	9323×	body	80	nan
709.0ms	1614×	body	1280	valid
399.0ms	5557×	body	80	valid
286.0ms	934×	body	640	valid
283.0ms	384×	body	2560	valid
98.0ms	443×	body	320	valid
31.0ms	200×	body	160	valid