Details

sample156.0ms

Algorithm

intervals

Results

59.0ms	75×	body	1280	valid
33.0ms	81×	body	640	valid
26.0ms	299×	body	80	valid
13.0ms	51×	body	320	valid
3.0ms	19×	body	160	valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3163
6	1067
5	416
4	202
3	85
2	44
1	24
0	14

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
4.9b	(- (exp l) (exp (- l)))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity`
27×	`prod-diff`
26×	`add-cube-cbrt`
11×	`distribute-rgt-in` `pow1` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
8×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `fma-neg` `flip--`
2×	`associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `diff-log` `flip-+` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

75.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
100.0ms	(* J (- (exp l) (exp (- l))))
125.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
17.0ms	(- (exp l) (exp (- l)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

313.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
70.0ms	(* J (- (exp l) (exp (- l))))
123.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
63.0ms	(- (exp l) (exp (- l)))

simplify2.0s

Counts

126 → 126

Iterations

Iter	Nodes
done	5000
2	1283
1	484
0	203

prune816.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b	(* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3)))))
0.0b	(* l (+ 2 (* (* l l) 1/3)))
0.1b	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3))))) (cos (/ K 2)))
0.2b	(* (* l l) 1/3)

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
12×	`associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `fma-udef`
1×	`flip3-+` `flip-+`

Counts

4 → 91

Calls

4 calls:

15.0ms	(* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3)))))
20.0ms	(* l (+ 2 (* (* l l) 1/3)))
19.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3))))) (cos (/ K 2)))
25.0ms	(* (* l l) 1/3)

series572.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3)))))
136.0ms	(* l (+ 2 (* (* l l) 1/3)))
220.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* (* l l) 1/3))))) (cos (/ K 2)))
31.0ms	(* (* l l) 1/3)

simplify2.0s

Counts

103 → 103

Iterations

Iter	Nodes
done	5003
2	1666
1	476
0	167

prune734.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
12×	`fma-udef`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-+l+` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `flip-+`

Counts

4 → 90

Calls

4 calls:

19.0ms	(+ (* J (* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2))))) U)
7.0ms	(* l (fma (* l l) 1/3 2))
24.0ms	(* J (* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2)))))
15.0ms	(* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2))))

series1.1s

Counts

4 → 12

Calls

4 calls:

416.0ms	(+ (* J (* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2))))) U)
121.0ms	(* l (fma (* l l) 1/3 2))
330.0ms	(* J (* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2)))))
193.0ms	(* (cos (/ K 2)) (fma 1/60 (pow l 5) (* l (fma (* l l) 1/3 2))))

simplify1.7s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1326
1	433
0	176

prune803.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (* l l) 1/3) (* (* l l) 1/3))
0.2b	(* (* l l) 1/3)
0.2b	(* (* l l) 1/3)
0.2b	(* (* l l) 1/3)

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-r`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 129

Calls

4 calls:

140.0ms	(* (* (* l l) 1/3) (* (* l l) 1/3))
28.0ms	(* (* l l) 1/3)
23.0ms	(* (* l l) 1/3)
24.0ms	(* (* l l) 1/3)

series183.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (* (* l l) 1/3) (* (* l l) 1/3))
33.0ms	(* (* l l) 1/3)
37.0ms	(* (* l l) 1/3)
42.0ms	(* (* l l) 1/3)

simplify3.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5001
3	3080
2	710
1	199
0	76

prune704.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes417.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample7.5s

Algorithm

intervals

Results

2.9s	2664×	body	1280	valid
1.6s	8315×	body	80	valid
1.5s	2558×	body	640	valid
790.0ms	1337×	body	320	valid
170.0ms	764×	body	160	valid