Details

sample114.0ms

Algorithm

intervals

Results

77.0ms

482×

body

valid

simplify6.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4451
5	2432
4	920
3	256
2	87
1	33
0	18

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
0.1b	(* (fma b c a) c)
9.2b	(* i (* (fma b c a) c))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma t z (* y x))
12.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
12.0ms	(* (fma b c a) c)
29.0ms	(* i (* (fma b c a) c))

series1.0s

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma t z (* y x))
833.0ms	(- (fma t z (* y x)) (* i (* (fma b c a) c)))
54.0ms	(* (fma b c a) c)
72.0ms	(* i (* (fma b c a) c))

simplify1.3s

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	900
1	256
0	120

prune755.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* y x))
0.0b	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
0.5b	(* i (fma b c a))
3.7b	(* (* i (fma b c a)) c)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma t z (* y x))
8.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
11.0ms	(* i (fma b c a))
21.0ms	(* (* i (fma b c a)) c)

series1.1s

Counts

4 → 12

Calls

4 calls:

58.0ms	(fma t z (* y x))
871.0ms	(- (fma t z (* y x)) (* (* i (fma b c a)) c))
60.0ms	(* i (fma b c a))
70.0ms	(* (* i (fma b c a)) c)

simplify1.3s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
2	1037
1	279
0	126

prune681.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x y (* z t))
0.0b	(- (fma x y (* z t)) (* (* i (fma b c a)) c))
0.5b	(* i (fma b c a))
3.7b	(* (* i (fma b c a)) c)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`*-commutative`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `associate--l+` `flip--` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

0.0ms	(fma x y (* z t))
5.0ms	(- (fma x y (* z t)) (* (* i (fma b c a)) c))
6.0ms	(* i (fma b c a))
27.0ms	(* (* i (fma b c a)) c)

series995.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(fma x y (* z t))
797.0ms	(- (fma x y (* z t)) (* (* i (fma b c a)) c))
53.0ms	(* i (fma b c a))
77.0ms	(* (* i (fma b c a)) c)

simplify1.4s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
2	1037
1	279
0	126

prune779.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt i)
0.6b	(cbrt i)
0.8b	(* (cbrt i) (fma b c a))
3.7b	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
14×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`cbrt-prod` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 85

Calls

4 calls:

1.0ms	(cbrt i)
1.0ms	(cbrt i)
7.0ms	(* (cbrt i) (fma b c a))
91.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

series998.0ms

Counts

4 → 12

Calls

4 calls:

343.0ms	(cbrt i)
275.0ms	(cbrt i)
241.0ms	(* (cbrt i) (fma b c a))
139.0ms	(* (* (* (cbrt i) (cbrt i)) (* (cbrt i) (fma b c a))) c)

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1252
1	319
0	127

prune633.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.5b

regimes1.2s

Accuracy

91.1% (0.4b remaining)

Error of 1.4b against oracle of 1.0b and baseline of 5.5b

bsearch220.0ms

Steps

Iters	Range		Point
8	7.55362498159122e-86	1.1117759607050217e-81	8.953908897767966e-84
9	-1.9506504822440394e+18	-452555645248.59534	-1.4294081773215552e+18

simplify6.0ms

Iterations

Iter	Nodes
done	39
1	39
0	28

end0.0ms

sample3.8s

Algorithm

intervals

Results

2.9s

15084×

body

valid