Details

sample267.0ms

Algorithm

intervals

Results

103.0ms	104×	body	1280	valid
80.0ms	92×	body	640	valid
33.0ms	236×	body	80	valid
18.0ms	42×	body	320	valid
5.0ms	21×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
9	2822
8	1840
7	1071
6	615
5	341
4	202
3	85
2	44
1	24
0	14

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (- l))))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.2b	(- (exp l) (exp (- l)))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 99

Calls

3 calls:

59.0ms	(* J (- (exp l) (exp (- l))))
97.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
13.0ms	(- (exp l) (exp (- l)))

series256.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(* J (- (exp l) (exp (- l))))
120.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
57.0ms	(- (exp l) (exp (- l)))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
3	2611
2	911
1	368
0	168

prune1.6s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`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`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `fma-udef`
1×	`flip3-+` `flip-+`

Counts

4 → 91

Calls

4 calls:

44.0ms	(* l (+ (* 1/3 (* l l)) 2))
6.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
20.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
24.0ms	(* 1/3 (* l l))

series553.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* l (+ (* 1/3 (* l l)) 2))
196.0ms	(* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2))))
211.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
37.0ms	(* 1/3 (* l l))

simplify3.8s

Counts

103 → 103

Iterations

Iter	Nodes
3	7508
2	1395
1	437
0	165

prune1.6s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b	(* l (* l l))
0.1b	(* 1/60 J)
0.1b	(* (+ (* (* (* l (* l l)) (* l l)) (* 1/60 J)) (* (fma (* l l) 1/3 2) (* J l))) (cos (/ K 2)))
3.6b	(* (* (* l (* l l)) (* l l)) (* 1/60 J))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

87×	`pow1`
78×	`add-cbrt-cube` `add-exp-log`
56×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-sqr-sqrt`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`associate-*l/`
1×	`pow2` `flip3-+` `pow-plus` `cube-unmult` `pow-sqr` `flip-+`

Counts

4 → 126

Calls

4 calls:

28.0ms	(* l (* l l))
10.0ms	(* 1/60 J)
882.0ms	(* (+ (* (* (* l (* l l)) (* l l)) (* 1/60 J)) (* (fma (* l l) 1/3 2) (* J l))) (cos (/ K 2)))
224.0ms	(* (* (* l (* l l)) (* l l)) (* 1/60 J))

series286.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* l (* l l))
16.0ms	(* 1/60 J)
166.0ms	(* (+ (* (* (* l (* l l)) (* l l)) (* 1/60 J)) (* (fma (* l l) 1/3 2) (* J l))) (cos (/ K 2)))
61.0ms	(* (* (* l (* l l)) (* l l)) (* 1/60 J))

simplify5.6s

Counts

138 → 138

Iterations

Iter	Nodes
3	9647
2	1590
1	479
0	186

prune2.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

107×	`pow1`
50×	`pow-prod-up`
37×	`add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`pow2` `pow-plus` `associate-l` `pow-sqr`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
5×	`cube-unmult`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 120

Calls

4 calls:

51.0ms	(* (* l (* l l)) (* l l))
17.0ms	(* l (* l l))
16.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
7.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (* l (* l l)) (* l l))
57.0ms	(* l (* l l))
222.0ms	(* J (* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2))))
103.0ms	(* (fma (fma (* l l) 1/3 2) l (* (* (* l (* l l)) (* l l)) 1/60)) (cos (/ K 2)))

simplify2.0s

Counts

132 → 132

Iterations

Iter	Nodes
3	5126
2	1095
1	384
0	163

prune2.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes397.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	29
1	29
0	20

end0.0ms

sample9.7s

Algorithm

intervals

Results

3.5s	2636×	body	1280	valid
2.5s	2633×	body	640	valid
1.6s	8449×	body	80	valid
1.2s	1474×	body	320	valid
301.0ms	739×	body	160	valid