Details

sample139.0ms

Algorithm

intervals

Results

33.0ms	58×	body	1280	valid
33.0ms	337×	body	80	nan
20.0ms	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

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: 21.1b

localize16.0ms

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)))

rewrite28.0ms

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))
10.0ms	(cos (- y (/ (* z t) 3.0)))

series159.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (* z t) 3.0)
88.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
18.0ms	(/ a (* b 3.0))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

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

prune305.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 16.5b

localize22.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (/ (* z t) 3.0))
15.1b	(cbrt (/ (* z t) 3.0))
15.1b	(cbrt (/ (* z t) 3.0))
22.3b	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite10.0ms

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:

2.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series357.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (/ (* z t) 3.0))
89.0ms	(cbrt (/ (* z t) 3.0))
89.0ms	(cbrt (/ (* z t) 3.0))
86.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify122.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (28.0ms)

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

prune436.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 16.4b

localize30.0ms

Local error

Found 4 expressions with local error:

15.0b	(cbrt (* z t))
15.1b	(cbrt (/ (* z t) 3.0))
15.1b	(cbrt (/ (* z t) 3.0))
22.7b	(cos (- y (* (* (* (cbrt (* z t)) (cbrt (/ 1 3.0))) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`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`
3×	`pow1/3`
2×	`cbrt-div` `cos-sum` `div-inv`
1×	`cos-diff` `sub-neg`

Counts

4 → 51

Calls

4 calls:

1.0ms	(cbrt (* z t))
2.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cos (- y (* (* (* (cbrt (* z t)) (cbrt (/ 1 3.0))) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(cbrt (* z t))
113.0ms	(cbrt (/ (* z t) 3.0))
92.0ms	(cbrt (/ (* z t) 3.0))
91.0ms	(cos (- y (* (* (* (cbrt (* z t)) (cbrt (/ 1 3.0))) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify128.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	182	546
1	377	496
2	1032	472
3	4559	467
4	5003	467

prune466.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.2b

localize26.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (/ (* z t) 3.0))
15.1b	(cbrt (/ (* z t) 3.0))
15.1b	(cbrt (/ (* z t) 3.0))
22.3b	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

rewrite12.0ms

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))
2.0ms	(cbrt (/ (* z t) 3.0))
2.0ms	(cbrt (/ (* z t) 3.0))
3.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (/ (* z t) 3.0))
90.0ms	(cbrt (/ (* z t) 3.0))
91.0ms	(cbrt (/ (* z t) 3.0))
105.0ms	(cos (- y (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0)))))

simplify121.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (27.0ms)

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

prune406.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 16.2b

regimes2.6s

Accuracy

45.9% (2.4b remaining)

Error of 18.8b against oracle of 16.3b and baseline of 20.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	42
1	58	42

end0.0ms

sample4.0s

Algorithm

intervals

Results

899.0ms	9137×	body	80	nan
884.0ms	1543×	body	1280	valid
575.0ms	5533×	body	80	valid
407.0ms	975×	body	640	valid
323.0ms	369×	body	2560	valid
148.0ms	475×	body	320	valid
49.0ms	219×	body	160	valid