Details

sample351.0ms

Algorithm

intervals

Results

107.0ms	83×	body	1280	valid
88.0ms	98×	body	640	valid
62.0ms	46×	body	320	valid
53.0ms	280×	body	80	valid
8.0ms	21×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
8	2007
7	1093
6	610
5	337
4	198
3	83
2	42
1	24
0	14

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.3b

localize54.0ms

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)))

rewrite175.0ms

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:

56.0ms	(* J (- (exp l) (exp (- l))))
44.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
48.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
24.0ms	(- (exp l) (exp (- l)))

series483.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* J (- (exp l) (exp (- l))))
259.0ms	(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
103.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
58.0ms	(- (exp l) (exp (- l)))

simplify1.8s

Counts

126 → 126

Iterations

Iter	Nodes
3	3845
2	1184
1	465
0	203

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b	(* l (+ (* l (* l 1/3)) 2))
0.1b	(* l (* l 1/3))
0.1b	(* (* J (fma 1/60 (pow l 5) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
0.3b	(* l 1/3)

rewrite119.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 88

Calls

4 calls:

56.0ms	(* l (+ (* l (* l 1/3)) 2))
24.0ms	(* l (* l 1/3))
32.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
6.0ms	(* l 1/3)

series463.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* l (+ (* l (* l 1/3)) 2))
50.0ms	(* l (* l 1/3))
257.0ms	(* (* J (fma 1/60 (pow l 5) (* l (+ (* l (* l 1/3)) 2)))) (cos (/ K 2)))
20.0ms	(* l 1/3)

simplify3.2s

Counts

100 → 100

Iterations

Iter	Nodes
3	6353
2	1287
1	377
0	151

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(* l (fma l (* l 1/3) 2))
0.1b	(* J (* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))))
0.1b	(* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))))
0.3b	(* l 1/3)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(* l (fma l (* l 1/3) 2))
31.0ms	(* J (* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))))
14.0ms	(* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))))
11.0ms	(* l 1/3)

series759.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* l (fma l (* l 1/3) 2))
330.0ms	(* J (* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2)))))
260.0ms	(* (cos (/ K 2)) (fma (pow l 5) 1/60 (* l (fma l (* l 1/3) 2))))
30.0ms	(* l 1/3)

simplify2.3s

Counts

104 → 104

Iterations

Iter	Nodes
3	4391
2	1126
1	386
0	171

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize89.0ms

Local error

Found 4 expressions with local error:

0.3b	(* l 1/3)
0.3b	(* l 1/3)
0.4b	(* (* l (sqrt (+ (* l (* l 1/3)) 2))) (sqrt (+ (* l (* l 1/3)) 2)))
0.5b	(* l (sqrt (+ (* l (* l 1/3)) 2)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
14×	`sqrt-div`
13×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `associate-*r/`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 101

Calls

4 calls:

11.0ms	(* l 1/3)
10.0ms	(* l 1/3)
154.0ms	(* (* l (sqrt (+ (* l (* l 1/3)) 2))) (sqrt (+ (* l (* l 1/3)) 2)))
51.0ms	(* l (sqrt (+ (* l (* l 1/3)) 2)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* l 1/3)
16.0ms	(* l 1/3)
115.0ms	(* (* l (sqrt (+ (* l (* l 1/3)) 2))) (sqrt (+ (* l (* l 1/3)) 2)))
189.0ms	(* l (sqrt (+ (* l (* l 1/3)) 2)))

simplify2.0s

Counts

113 → 113

Iterations

Iter	Nodes
3	3589
2	1084
1	364
0	145

prune2.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes763.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	23
1	23
0	18

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.7s	2721×	body	1280	valid
2.4s	2530×	body	640	valid
1.6s	8389×	body	80	valid
859.0ms	1429×	body	320	valid
636.0ms	734×	body	160	valid