Details

sample119.0ms

Algorithm

intervals

Results

96.0ms

632×

body

valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	2058
3	646
2	181
1	54
0	18

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (* a a))
0.1b	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.2b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.8b	(* (+ a 3) (* b b))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

6.0ms	(- a (* a a))
0.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
34.0ms	(* (+ a 3) (* b b))

series271.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- a (* a a))
63.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
96.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
55.0ms	(* (+ a 3) (* b b))

simplify1.5s

Counts

78 → 78

Iterations

Iter	Nodes
3	3793
2	901
1	281
0	118

prune832.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.8b	(* (+ a 3) (* b b))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
38.0ms	(* (+ a 3) (* b b))

series588.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
167.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
189.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
59.0ms	(* (+ a 3) (* b b))

simplify778.0ms

Counts

75 → 75

Iterations

Iter	Nodes
3	2421
2	576
1	180
0	73

prune987.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

localize78.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.8b	(* (+ a 3) (* b b))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
29.0ms	(* (+ a 3) (* b b))

series640.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
187.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
201.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
55.0ms	(* (+ a 3) (* b b))

simplify776.0ms

Counts

75 → 75

Iterations

Iter	Nodes
3	2421
2	576
1	180
0	73

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.1b

localize95.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.2b	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
0.8b	(* (+ a 3) (* b b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`flip3-+` `associate-r` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
1.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
33.0ms	(* (+ a 3) (* b b))

series615.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
186.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
189.0ms	(cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))
63.0ms	(* (+ a 3) (* b b))

simplify770.0ms

Counts

75 → 75

Iterations

Iter	Nodes
3	2421
2	576
1	180
0	73

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes283.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	16
1	16
0	14

end0.0ms

sample3.6s

Algorithm

intervals

Results

3.2s

20616×

body

valid