Details

sample289.0ms

Algorithm

intervals

Results

85.0ms	269×	body	80	valid
83.0ms	90×	body	1280	valid
67.0ms	92×	body	640	valid
18.0ms	38×	body	320	valid
7.0ms	23×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
9	2396
8	1697
7	948
6	527
5	277
4	181
3	78
2	39
1	23
0	14

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.2b	(* J (- (exp l) (exp (- l))))
4.2b	(- (exp l) (exp (- l)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
3×	`sub-neg` `flip3--` `insert-posit16` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

47.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
60.0ms	(* J (- (exp l) (exp (- l))))
20.0ms	(- (exp l) (exp (- l)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

154.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
100.0ms	(* J (- (exp l) (exp (- l))))
49.0ms	(- (exp l) (exp (- l)))

simplify1.4s

Counts

72 → 72

Iterations

Iter	Nodes
3	3033
2	735
1	275
0	114

prune795.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow l 5) 1/60)
0.1b	(* l (* l 1/3))
0.1b	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
0.4b	(* l 1/3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`pow1`
14×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-r` `prod-exp`
8×	`cbrt-unprod`
7×	`pow-prod-down`
4×	`unpow-prod-down` `*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`associate-l/` `associate-r/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 85

Calls

4 calls:

8.0ms	(* (pow l 5) 1/60)
21.0ms	(* l (* l 1/3))
75.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
7.0ms	(* l 1/3)

series386.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (pow l 5) 1/60)
45.0ms	(* l (* l 1/3))
258.0ms	(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
17.0ms	(* l 1/3)

simplify7.4s

Counts

97 → 97

Iterations

Iter	Nodes
3	9319
2	1625
1	416
0	158

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b	(* l (* l 1/3))
0.1b	(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
0.1b	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))))
0.4b	(* l 1/3)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`associate-l/` `-commutative` `insert-posit16` `add-log-exp`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

26.0ms	(* l (* l 1/3))
48.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
40.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))))
6.0ms	(* l 1/3)

series460.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* l (* l 1/3))
136.0ms	(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
245.0ms	(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))))
30.0ms	(* l 1/3)

simplify3.7s

Counts

92 → 92

Iterations

Iter	Nodes
3	7590
2	1397
1	386
0	147

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.4b	(* l 1/3)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
17.0ms	(* l 1/3)

series479.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt (cos (/ K 2)))
116.0ms	(cbrt (cos (/ K 2)))
185.0ms	(cbrt (cos (/ K 2)))
16.0ms	(* l 1/3)

simplify2.1s

Counts

67 → 67

Iterations

Iter	Nodes
6	3332
5	1614
4	753
3	384
2	188
1	110
0	62

prune961.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes992.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	20

end0.0ms

sample10.2s

Algorithm

intervals

Results

4.0s	2662×	body	1280	valid
2.3s	2546×	body	640	valid
1.7s	8446×	body	80	valid
1.4s	1389×	body	320	valid
268.0ms	735×	body	160	valid