Details

sample109.0ms

Algorithm

intervals

Results

23.0ms	53×	body	1280	valid
19.0ms	287×	body	80	nan
16.0ms	18×	body	2560	valid
12.0ms	177×	body	80	valid
7.0ms	24×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	8×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 19.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.5b	(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

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:

4.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (* z t) 3.0)
19.0ms	(/ a (* b 3.0))
95.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
37.0ms	(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

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

prune353.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 17.4b

localize21.0ms

Local error

Found 4 expressions with local error:

15.2b	(cbrt (/ (* z t) 3.0))
15.2b	(cbrt (/ (* z t) 3.0))
15.2b	(cbrt (/ (* z t) 3.0))
23.5b	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(cbrt (/ (* z t) 3.0))
98.0ms	(cbrt (/ (* z t) 3.0))
97.0ms	(cbrt (/ (* z t) 3.0))
90.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify135.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	163	579
1	328	531
2	903	507
3	4295	501
4	5002	501

prune451.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 17.1b

localize34.0ms

Local error

Found 4 expressions with local error:

15.2b	(cbrt (/ (* z t) 3.0))
15.2b	(cbrt (/ (* z t) 3.0))
28.7b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
29.0b	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite16.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow1/3` `div-inv`
1×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 48

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))))
4.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series338.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(cbrt (/ (* z t) 3.0))
100.0ms	(cbrt (/ (* z t) 3.0))
61.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
75.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	160	552
1	327	472
2	753	456
3	1930	417
4	5001	416

prune708.0ms

Pruning

31 alts after pruning (31 fresh and 0 done)

Merged error: 17.0b

localize44.0ms

Local error

Found 4 expressions with local error:

28.7b	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
29.0b	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
29.0b	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
29.0b	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite18.0ms

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`
3×	`neg-sub0` `sin-neg` `sin-diff`

Counts

4 → 34

Calls

4 calls:

4.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
5.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
4.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
5.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
69.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
72.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))
78.0ms	(sin (- (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify341.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (10.0ms)

Iter	Nodes	Cost
0	65	661
1	130	552
2	245	552
3	465	447
4	2772	447
5	5002	447

prune337.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 17.0b

regimes3.0s

Accuracy

55% (1.7b remaining)

Error of 17.7b against oracle of 16.0b and baseline of 19.8b

bsearch3.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	80
1	63	80
2	63	80

end0.0ms

sample3.1s

Algorithm

intervals

Results

690.0ms	1555×	body	1280	valid
624.0ms	9181×	body	80	nan
384.0ms	5629×	body	80	valid
294.0ms	955×	body	640	valid
269.0ms	377×	body	2560	valid
97.0ms	437×	body	320	valid
33.0ms	214×	body	160	valid