Details

sample139.0ms

Algorithm

intervals

Results

115.0ms

661×

body

valid

simplify945.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	2160
3	649
2	198
1	56
0	19

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.1b	(* (* a a) (+ 1 a))
0.3b	(pow (+ (* a a) (* b b)) 2)
0.5b	(* (* b b) (- 1 (* 3 a)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

73.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
34.0ms	(* (* a a) (+ 1 a))
9.0ms	(pow (+ (* a a) (* b b)) 2)
24.0ms	(* (* b b) (- 1 (* 3 a)))

series350.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
76.0ms	(* (* a a) (+ 1 a))
42.0ms	(pow (+ (* a a) (* b b)) 2)
88.0ms	(* (* b b) (- 1 (* 3 a)))

simplify16.2s

Counts

118 → 118

Iterations

Iter	Nodes
3	8278
2	1890
1	542
0	191

prune610.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* 3 a))
0.1b	(* (* a a) (+ 1 a))
0.2b	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.5b	(* (* b b) (- 1 (* 3 a)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

5.0ms	(- 1 (* 3 a))
38.0ms	(* (* a a) (+ 1 a))
0.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
40.0ms	(* (* b b) (- 1 (* 3 a)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- 1 (* 3 a))
65.0ms	(* (* a a) (+ 1 a))
134.0ms	(fma (+ (* a a) (* b b)) (+ (* a a) (* b b)) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
64.0ms	(* (* b b) (- 1 (* 3 a)))

simplify7.1s

Counts

105 → 105

Iterations

Iter	Nodes
3	4964
2	1527
1	443
0	157

prune953.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* b b) (- 1 (* 3 a)))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `unpow-prod-down` `add-cbrt-cube` `add-exp-log`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `unpow2` `sqr-pow`
2×	`sub-neg` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

24.0ms	(* (* b b) (- 1 (* 3 a)))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
13.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series479.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* (* b b) (- 1 (* 3 a)))
130.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
142.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
131.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify2.5s

Counts

103 → 103

Iterations

Iter	Nodes
3	2896
2	820
1	301
0	122

prune716.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

9.4b	(cbrt (+ (* a a) (* b b)))
9.4b	(cbrt (+ (* a a) (* b b)))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))
18.8b	(cbrt (pow (+ (* a a) (* b b)) 2))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`unpow-prod-down`
4×	`expm1-log1p-u` `pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `flip-+` `unpow2` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cbrt (+ (* a a) (* b b)))
8.0ms	(cbrt (+ (* a a) (* b b)))
11.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
7.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

series543.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ (* a a) (* b b)))
121.0ms	(cbrt (+ (* a a) (* b b)))
160.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))
143.0ms	(cbrt (pow (+ (* a a) (* b b)) 2))

simplify3.9s

Counts

82 → 82

Iterations

Iter	Nodes
4	6414
3	1791
2	567
1	203
0	91

prune707.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes337.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	24
1	24
0	17

end0.0ms

sample5.3s

Algorithm

intervals

Results

4.8s

20442×

body

valid