Details

sample154.0ms

Algorithm

intervals

Results

40.0ms	279×	body	80	nan
35.0ms	57×	body	1280	valid
23.0ms	183×	body	80	valid
15.0ms	33×	body	640	valid
9.0ms	10×	body	2560	valid
3.0ms	8×	body	320	valid
1.0ms	5×	body	160	valid

simplify12.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ a (* b 3.0))
23.1b	(cos (- y (/ (* z t) 3.0)))

rewrite26.0ms

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:

3.0ms	(/ (* z t) 3.0)
11.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
92.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
37.0ms	(cos (- y (/ (* z t) 3.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

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

prune322.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.8b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

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

series241.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ a (* b 3.0))
194.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms	(cos (/ (* z t) 3.0))
19.0ms	(sin (/ (* z t) 3.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	433	695
1	1951	580
2	5001	577

prune399.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 15.7b

localize30.0ms

Local error

Found 4 expressions with local error:

27.7b	(cos (/ (* z t) 3.0))
27.7b	(cos (/ (* z t) 3.0))
27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

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

series44.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos (/ (* z t) 3.0))
10.0ms	(cos (/ (* z t) 3.0))
9.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	186
1	52	158
2	63	158
3	72	158
4	100	158
5	174	158
6	693	158
7	2258	158
8	5001	158

prune338.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 15.7b

localize40.0ms

Local error

Found 4 expressions with local error:

27.7b	(cos (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))
27.9b	(sin (/ (* z t) 3.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

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

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify104.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	190
1	52	162
2	63	162
3	72	162
4	100	162
5	174	162
6	693	162
7	2258	162
8	5001	162

prune284.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 15.7b

regimes2.0s

Accuracy

57.1% (1.5b remaining)

Error of 17.9b against oracle of 16.4b and baseline of 19.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	50
1	59	50

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.2s	9136×	body	80	nan
996.0ms	1547×	body	1280	valid
731.0ms	5567×	body	80	valid
448.0ms	961×	body	640	valid
374.0ms	396×	body	2560	valid
148.0ms	424×	body	320	valid
55.0ms	217×	body	160	valid