Details

sample150.0ms

Algorithm

intervals

Results

124.0ms

688×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(- a (* a a))
0.0b	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.7b	(* (+ a 3) (* b b))

rewrite50.0ms

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` `insert-posit16` `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 → 70

Calls

4 calls:

5.0ms	(- 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)
44.0ms	(* (+ a 3) (* b b))

series315.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- a (* a a))
86.0ms	(fma a (- a (* a a)) (* (+ a 3) (* b b)))
108.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
62.0ms	(* (+ a 3) (* b b))

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
3	3966
2	960
1	286
0	122

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.1b	(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)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.7b	(* (+ a 3) (* b b))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
16×	`cbrt-prod` `pow1`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow1/3` `swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up` `fma-udef`
1×	`pow2` `flip3-+` `pow-plus` `flip-+` `distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
0.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
7.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
35.0ms	(* (+ a 3) (* b b))

series504.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
121.0ms	(fma (fma a a (* b b)) (fma a a (* b b)) -1)
231.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
55.0ms	(* (+ a 3) (* b b))

simplify1.1s

Counts

102 → 102

Iterations

Iter	Nodes
3	2873
2	811
1	267
0	115

prune1.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (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)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.7b	(* (+ a 3) (* b b))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
16×	`pow1`
15×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `flip-+` `distribute-lft-out`

Counts

4 → 97

Calls

4 calls:

1.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
8.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
4.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
29.0ms	(* (+ a 3) (* b b))

series753.0ms

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
233.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
250.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
62.0ms	(* (+ a 3) (* b b))

simplify1.2s

Counts

109 → 109

Iterations

Iter	Nodes
3	2669
2	756
1	283
0	130

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

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)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.2b	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
0.7b	(* (+ a 3) (* b b))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`cbrt-prod`
16×	`pow1`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`add-exp-log`
10×	`associate-l`
9×	`add-cbrt-cube`
8×	`pow1/3`
7×	`associate-r`
6×	`swap-sqr`
5×	`pow-prod-down` `unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`associate-l/` `pow-sqr` `-commutative` `pow-prod-up`
1×	`pow2` `flip3-+` `pow-plus` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

15.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
5.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
4.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
24.0ms	(* (+ a 3) (* b b))

series804.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)))
231.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
251.0ms	(cbrt (* (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1)) (cbrt (fma (fma a a (* b b)) (fma a a (* b b)) -1))))
77.0ms	(* (+ a 3) (* b b))

simplify896.0ms

Counts

104 → 104

Iterations

Iter	Nodes
3	2612
2	732
1	257
0	112

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	30
1	30
0	23

end0.0ms

sample4.7s

Algorithm

intervals

Results

4.2s

20839×

body

valid