Details

sample63.0ms

Algorithm

intervals

Results

35.0ms	261×	body	80	valid
2.0ms	4×	body	640	valid
1.0ms	3×	body	320	valid
1.0ms	3×	body	160	valid
1.0ms	1×	body	1280	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	50	16
1	93	16
2	200	16
3	517	15
4	1893	15
5	5001	15

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* K (+ m n)) 2.0) M)
0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)
0.2b	(/ (* K (+ m n)) 2.0)
36.2b	(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-cube-cbrt`
6×	`unpow-prod-down` `add-log-exp`
5×	`pow1`
4×	`times-frac`
3×	`pow-unpow` `associate-/r*` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `cos-sum` `associate-*r/` `div-exp` `associate-/l/` `distribute-lft-out--`
1×	`cos-diff` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `flip3-+` `diff-log` `pow-exp` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

9.0ms	(- (/ (* K (+ m n)) 2.0) M)
32.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
6.0ms	(/ (* K (+ m n)) 2.0)
15.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

series92.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- (/ (* K (+ m n)) 2.0) M)
43.0ms	(pow (- (/ (+ m n) 2.0) M) 2.0)
9.0ms	(/ (* K (+ m n)) 2.0)
26.0ms	(cos (- (/ (* K (+ m n)) 2.0) M))

simplify43.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	399	517
1	1537	472
2	5003	472

prune978.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b	(pow (- (/ (+ m n) 2.0) M) 2.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`unpow-prod-down`
5×	`*-un-lft-identity`
3×	`add-cube-cbrt` `pow-unpow`
2×	`pow1` `add-exp-log` `difference-of-squares`
1×	`pow-to-exp` `pow-pow` `times-frac` `pow-exp` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

34.0ms

(pow (- (/ (+ m n) 2.0) M) 2.0)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(pow (- (/ (+ m n) 2.0) M) 2.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	156	164
1	433	159
2	1446	158
3	5001	155

prune279.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize25.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
36.0b	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 43

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
37.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

series37.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
37.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

simplify73.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	82	309
1	139	279
2	219	273
3	308	273
4	458	273
5	812	273
6	2301	273
7	5001	273

prune782.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.8b

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
36.0b	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`cos-sum`
1×	`cos-diff` `sub-neg`

Counts

4 → 43

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
35.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

series40.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
40.0ms	(cos (- (* (/ K (* (cbrt 2.0) (cbrt 2.0))) (/ (+ m n) (cbrt 2.0))) M))

simplify74.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	82	321
1	139	291
2	219	285
3	308	285
4	458	285
5	812	285
6	2301	285
7	5001	285

prune793.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.8b

regimes577.0ms

Accuracy

0% (0.2b remaining)

Error of 1.3b against oracle of 1.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	8076×	body	80	valid
101.0ms	126×	body	1280	valid
83.0ms	144×	body	640	valid
43.0ms	103×	body	320	valid
15.0ms	43×	body	160	valid
7.0ms	6×	body	2560	valid