Details

sample145.0ms

Algorithm

intervals

Results

35.0ms	337×	body	80	nan
34.0ms	58×	body	1280	valid
19.0ms	176×	body	80	valid
10.0ms	24×	body	640	valid
7.0ms	8×	body	2560	valid
4.0ms	12×	body	320	valid
3.0ms	13×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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: 21.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
22.2b	(cos (- y (/ (* z t) 3.0)))

rewrite38.0ms

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

series186.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z t) 3.0)
102.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.0ms	(/ a (* b 3.0))
39.0ms	(cos (- y (/ (* z t) 3.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (61.0ms)

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

prune495.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
0.4b	(/ t (cbrt 3.0))
0.5b	(/ a (* b 3.0))
22.3b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

12.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
3.0ms	(/ t (cbrt 3.0))
3.0ms	(/ a (* b 3.0))
5.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series392.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
60.0ms	(/ t (cbrt 3.0))
27.0ms	(/ a (* b 3.0))
111.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	464	1091
1	1609	979
2	5001	976

prune641.0ms

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 16.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (cbrt 3.0))
0.4b	(expm1 (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
0.5b	(/ a (* b 3.0))
22.3b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
12×	`cbrt-prod`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`cos-sum` `log1p-expm1-u`
4×	`pow1` `expm1-log1p-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-diff`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`cos-diff` `sub-neg` `expm1-log1p` `prod-exp` `cbrt-unprod` `expm1-udef`

Counts

4 → 90

Calls

4 calls:

7.0ms	(/ t (cbrt 3.0))
0.0ms	(expm1 (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
3.0ms	(/ a (* b 3.0))
5.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series374.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ t (cbrt 3.0))
177.0ms	(expm1 (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
21.0ms	(/ a (* b 3.0))
116.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	347	837
1	964	773
2	3716	771
3	5001	754

prune652.0ms

Pruning

30 alts after pruning (30 fresh and 0 done)

Merged error: 16.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (cbrt 3.0))
0.5b	(/ a (* b 3.0))
0.5b	(log1p (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
22.3b	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`times-frac`
12×	`cbrt-prod`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`associate-/r*`
6×	`associate-/l*`
5×	`expm1-log1p-u` `cos-sum`
4×	`pow1` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `prod-diff`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`cos-diff` `sub-neg` `log1p-udef` `log1p-expm1` `prod-exp` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

3.0ms	(/ t (cbrt 3.0))
3.0ms	(/ a (* b 3.0))
0.0ms	(log1p (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
5.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(/ t (cbrt 3.0))
21.0ms	(/ a (* b 3.0))
183.0ms	(log1p (cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
116.0ms	(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify95.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	338	838
1	939	772
2	3593	770
3	5002	753

prune495.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 14.2b

regimes3.4s

Accuracy

61.4% (2.4b remaining)

Error of 17.1b against oracle of 14.7b and baseline of 20.8b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	29
1	51	29

end0.0ms

sample4.2s

Algorithm

intervals

Results

937.0ms	1543×	body	1280	valid
935.0ms	9137×	body	80	nan
611.0ms	5533×	body	80	valid
431.0ms	975×	body	640	valid
337.0ms	369×	body	2560	valid
160.0ms	475×	body	320	valid
50.0ms	219×	body	160	valid