Details

sample98.0ms

Algorithm

intervals

Results

21.0ms	54×	body	1280	valid
17.0ms	301×	body	80	nan
13.0ms	172×	body	80	valid
9.0ms	14×	body	2560	valid
7.0ms	28×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	7×	body	160	valid

simplify15.0ms

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: 20.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite30.0ms

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:

4.0ms	(/ a (* b 3.0))
10.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(/ (* z t) 3.0)
8.0ms	(cos (- y (/ (* z t) 3.0)))

series174.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
97.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.0ms	(/ (* z t) 3.0)
34.0ms	(cos (- y (/ (* z t) 3.0)))

simplify73.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (60.0ms)

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

prune440.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 17.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* z t) 3.0)
0.4b	(/ (* z t) 3.0)
30.0b	(cos (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))

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` `associate-/r*`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ (* z t) 3.0)
5.0ms	(/ (* z t) 3.0)
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series65.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* z t) 3.0)
17.0ms	(/ (* z t) 3.0)
10.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	142	292
1	563	248
2	2551	248
3	5001	248

prune469.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 17.0b

localize33.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (/ (* z t) 3.0))
13.6b	(cbrt (/ (* z t) 3.0))
30.1b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
30.1b	(sin (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 54

Calls

4 calls:

3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
4.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))

series278.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (/ (* z t) 3.0))
92.0ms	(cbrt (/ (* z t) 3.0))
65.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
22.0ms	(sin (/ (* z t) 3.0))

simplify190.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	141	462
1	265	416
2	579	400
3	1464	396
4	4795	384
5	5001	384

prune565.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 16.9b

localize38.0ms

Local error

Found 4 expressions with local error:

13.6b	(cbrt (/ (* z t) 3.0))
13.6b	(cbrt (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))
30.2b	(cos (* (* (cbrt (/ (* z t) 3.0)) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))) (cbrt (/ (* z t) 3.0))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 54

Calls

4 calls:

5.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))
5.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))) (cbrt (/ (* z t) 3.0))))

series497.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (/ (* z t) 3.0))
93.0ms	(cbrt (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))
291.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (* (cbrt (/ z (sqrt 3.0))) (cbrt (/ t (sqrt 3.0))))) (cbrt (/ (* z t) 3.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	194	527
1	488	473
2	1781	457
3	5001	453

prune532.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 16.8b

regimes4.3s

Accuracy

48.3% (2.1b remaining)

Error of 17.6b against oracle of 15.5b and baseline of 19.6b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	57
1	65	57

end0.0ms

sample2.8s

Algorithm

intervals

Results

620.0ms	1553×	body	1280	valid
526.0ms	8985×	body	80	nan
357.0ms	5669×	body	80	valid
268.0ms	974×	body	640	valid
244.0ms	365×	body	2560	valid
79.0ms	381×	body	320	valid
28.0ms	205×	body	160	valid