Details

sample283.0ms

Algorithm

intervals

Results

113.0ms	83×	body	1280	valid
67.0ms	98×	body	640	valid
43.0ms	280×	body	80	valid
22.0ms	46×	body	320	valid
6.0ms	21×	body	160	valid

simplify1.8s

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

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.3b	(- (exp l) (exp (- l)))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

36.0ms	(* J (- (exp l) (exp (- l))))
47.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
49.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
22.0ms	(- (exp l) (exp (- l)))

series540.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* J (- (exp l) (exp (- l))))
324.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
110.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
41.0ms	(- (exp l) (exp (- l)))

simplify2.6s

Counts

87 → 87

Iterations

Iter	Nodes
3	3883
2	974
1	365
0	147

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 1/60 (pow l 5))
0.1b	(* (* l 1/3) l)
0.1b	(* (* J (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5)))) (cos (/ K 2)))
0.3b	(* l 1/3)

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt` `add-cbrt-cube`
16×	`pow1` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp`
8×	`associate-l` `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:

17.0ms	(* 1/60 (pow l 5))
30.0ms	(* (* l 1/3) l)
101.0ms	(* (* J (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5)))) (cos (/ K 2)))
6.0ms	(* l 1/3)

series367.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 1/60 (pow l 5))
35.0ms	(* (* l 1/3) l)
224.0ms	(* (* J (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5)))) (cos (/ K 2)))
34.0ms	(* l 1/3)

simplify4.6s

Counts

97 → 97

Iterations

Iter	Nodes
3	8404
2	1548
1	421
0	161

prune1.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.1b	(* J (* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2))))
0.1b	(* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2)))
0.1b	(* (* l 1/3) l)
0.3b	(* l 1/3)

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`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:

69.0ms	(* J (* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2))))
72.0ms	(* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2)))
29.0ms	(* (* l 1/3) l)
11.0ms	(* l 1/3)

series401.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(* J (* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2))))
128.0ms	(* (+ (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))) (cos (/ K 2)))
31.0ms	(* (* l 1/3) l)
26.0ms	(* l 1/3)

simplify4.1s

Counts

92 → 92

Iterations

Iter	Nodes
3	7119
2	1397
1	396
0	149

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(* l 1/3)
0.3b	(* l 1/3)
0.3b	(* l 1/3)
29.5b	(/ (* (- (* (* l (+ 2 (* (* l 1/3) l))) (* l (+ 2 (* (* l 1/3) l)))) (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5)))) (cos (/ K 2))) (- (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1`
9×	`associate-r` `associate-l`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`associate-/r` `times-frac` `pow-prod-down` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `flip--` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 83

Calls

4 calls:

11.0ms	(* l 1/3)
11.0ms	(* l 1/3)
11.0ms	(* l 1/3)
152.0ms	(/ (* (- (* (* l (+ 2 (* (* l 1/3) l))) (* l (+ 2 (* (* l 1/3) l)))) (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5)))) (cos (/ K 2))) (- (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))))

series312.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* l 1/3)
28.0ms	(* l 1/3)
28.0ms	(* l 1/3)
229.0ms	(/ (* (- (* (* l (+ 2 (* (* l 1/3) l))) (* l (+ 2 (* (* l 1/3) l)))) (* (* 1/60 (pow l 5)) (* 1/60 (pow l 5)))) (cos (/ K 2))) (- (* l (+ 2 (* (* l 1/3) l))) (* 1/60 (pow l 5))))

simplify5.4s

Counts

95 → 95

Iterations

Iter	Nodes
3	9462
2	1398
1	347
0	123

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes428.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	29
1	29
0	20

end0.0ms

sample10.8s

Algorithm

intervals

Results

4.0s	2721×	body	1280	valid
2.2s	2530×	body	640	valid
2.0s	1429×	body	320	valid
1.7s	8389×	body	80	valid
317.0ms	734×	body	160	valid