Details

sample134.0ms

Algorithm

intervals

Results

30.0ms	290×	body	80	nan
29.0ms	51×	body	1280	valid
19.0ms	185×	body	80	valid
10.0ms	24×	body	640	valid
10.0ms	11×	body	2560	valid
5.0ms	16×	body	320	valid
1.0ms	6×	body	160	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.4b	(/ (* z t) 3.0)
24.4b	(cos (- y (/ (* z t) 3.0)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

5.0ms	(/ a (* b 3.0))
19.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(/ (* z t) 3.0)
14.0ms	(cos (- y (/ (* z t) 3.0)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ a (* b 3.0))
88.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms	(/ (* z t) 3.0)
35.0ms	(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune346.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 16.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
0.4b	(/ z (sqrt 3.0))
0.4b	(/ t (sqrt 3.0))
24.3b	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`cos-sum` `frac-2neg` `clear-num`
1×	`cos-diff` `frac-times` `sub-neg` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 161

Calls

4 calls:

23.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
3.0ms	(/ z (sqrt 3.0))
3.0ms	(/ t (sqrt 3.0))
4.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))
55.0ms	(/ z (sqrt 3.0))
235.0ms	(/ t (sqrt 3.0))
163.0ms	(cos (- y (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	478	1167
1	2151	1077
2	5002	1023

prune659.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 15.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt 3.0))
0.4b	(/ t (sqrt 3.0))
30.3b	(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
30.9b	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
12×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
4×	`pow1` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

4 → 92

Calls

4 calls:

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

series273.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ t (sqrt 3.0))
55.0ms	(/ t (sqrt 3.0))
90.0ms	(sin (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))
72.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	142	596
1	393	550
2	1626	528
3	5001	528

prune622.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 15.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ t (sqrt 3.0)))
0.6b	(cbrt (/ t (sqrt 3.0)))
30.8b	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
30.9b	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
36×	`times-frac`
30×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 76

Calls

4 calls:

2.0ms	(cbrt (/ t (sqrt 3.0)))
2.0ms	(cbrt (/ t (sqrt 3.0)))
28.0ms	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
2.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

series820.0ms

Counts

4 → 12

Calls

4 calls:

315.0ms	(cbrt (/ t (sqrt 3.0)))
317.0ms	(cbrt (/ t (sqrt 3.0)))
109.0ms	(sin (* (/ z (sqrt 3.0)) (* (* (cbrt (/ t (sqrt 3.0))) (cbrt (/ t (sqrt 3.0)))) (cbrt (/ t (sqrt 3.0))))))
79.0ms	(cos (* (/ z (sqrt 3.0)) (/ t (sqrt 3.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	191	804
1	398	742
2	1387	721
3	5001	697

prune519.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 15.6b

regimes3.5s

Accuracy

58.7% (1.7b remaining)

Error of 17.6b against oracle of 15.9b and baseline of 20.0b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	45
1	63	45

end0.0ms

sample4.1s

Algorithm

intervals

Results

929.0ms	1560×	body	1280	valid
909.0ms	9139×	body	80	nan
591.0ms	5614×	body	80	valid
393.0ms	899×	body	640	valid
351.0ms	388×	body	2560	valid
149.0ms	463×	body	320	valid
43.0ms	182×	body	160	valid