Details

sample104.0ms

Algorithm

intervals

Results

84.0ms

620×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	4021
3	726
2	183
1	56
0	18

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
0.0b	(* (* a a) (- 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.4b	(* (* b b) (+ 3 a))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`prod-diff`
32×	`add-cube-cbrt`
24×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
15×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`associate-*r/`
10×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `flip3-+` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`pow-unpow` `unpow-prod-down` `flip3--` `flip--`
2×	`associate-+r+` `associate-l` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-pow` `fma-def` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `unpow2` `sqr-pow`

Counts

4 → 140

Calls

4 calls:

47.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
51.0ms	(* (* a a) (- 1 a))
22.0ms	(pow (+ (* a a) (* b b)) 2)
44.0ms	(* (* b b) (+ 3 a))

series225.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
70.0ms	(* (* a a) (- 1 a))
41.0ms	(pow (+ (* a a) (* b b)) 2)
41.0ms	(* (* b b) (+ 3 a))

simplify2.8s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	3276
1	828
0	252

prune801.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
0.0b	(* (* a a) (- 1 a))
0.3b	(* (fma a a (* b b)) (fma a a (* b b)))
0.4b	(* (* b b) (+ 3 a))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
34×	`add-cube-cbrt`
25×	`distribute-rgt-in` `distribute-lft-in`
22×	`associate-+l+`
21×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-*r/`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3-+` `frac-add` `flip-+` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `swap-sqr` `*-commutative` `flip--` `unswap-sqr`
2×	`associate-+r+` `fma-udef` `difference-of-squares`
1×	`pow2` `+-commutative` `sum-log` `fma-def` `pow-plus` `pow-sqr` `pow-prod-up` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 149

Calls

4 calls:

23.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
28.0ms	(* (* a a) (- 1 a))
6.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
38.0ms	(* (* b b) (+ 3 a))

series266.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (* (* a a) (- 1 a)) (* (* b b) (+ 3 a)))
79.0ms	(* (* a a) (- 1 a))
58.0ms	(* (fma a a (* b b)) (fma a a (* b b)))
48.0ms	(* (* b b) (+ 3 a))

simplify3.1s

Counts

161 → 161

Iterations

Iter	Nodes
done	5013
2	3262
1	820
0	254

prune904.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (fma a a (* b b))) (* (sqrt (fma a a (* b b))) (fma a a (* b b))))
0.4b	(* (* b b) (+ 3 a))
11.0b	(sqrt (fma a a (* b b)))
11.0b	(sqrt (fma a a (* b b)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1`
14×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt` `pow-prod-up`
11×	`*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`add-cube-cbrt` `sqrt-prod`
7×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `pow-plus` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `associate-r/` `-commutative` `hypot-def`
1×	`flip3-+` `cube-unmult` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

37.0ms	(* (sqrt (fma a a (* b b))) (* (sqrt (fma a a (* b b))) (fma a a (* b b))))
30.0ms	(* (* b b) (+ 3 a))
1.0ms	(sqrt (fma a a (* b b)))
1.0ms	(sqrt (fma a a (* b b)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sqrt (fma a a (* b b))) (* (sqrt (fma a a (* b b))) (fma a a (* b b))))
48.0ms	(* (* b b) (+ 3 a))
62.0ms	(sqrt (fma a a (* b b)))
83.0ms	(sqrt (fma a a (* b b)))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5003
2	1192
1	364
0	133

prune571.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* a a) (- 1 a))
0.1b	(pow (sqrt (fma a a (* b b))) 4)
0.4b	(* (* b b) (+ 3 a))
11.0b	(sqrt (fma a a (* b b)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`prod-diff`
17×	`pow1`
15×	`add-exp-log`
14×	`add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
6×	`unpow-prod-down` `pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-*r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`pow-to-exp` `rem-sqrt-square` `flip3-+` `flip3--` `pow-exp` `flip-+` `fma-udef` `hypot-def` `sqrt-pow2` `flip--` `distribute-lft-out` `distribute-lft-out--` `sqr-pow`

Counts

4 → 119

Calls

4 calls:

57.0ms	(* (* a a) (- 1 a))
5.0ms	(pow (sqrt (fma a a (* b b))) 4)
44.0ms	(* (* b b) (+ 3 a))
2.0ms	(sqrt (fma a a (* b b)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* a a) (- 1 a))
74.0ms	(pow (sqrt (fma a a (* b b))) 4)
52.0ms	(* (* b b) (+ 3 a))
58.0ms	(sqrt (fma a a (* b b)))

simplify1.6s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2096
1	667
0	215

prune604.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	28
1	28
0	19

end0.0ms

sample3.7s

Algorithm

intervals

Results

3.3s

20337×

body

valid