Details

sample38.0ms

Algorithm

intervals

Results

16.0ms

381×

body

valid

simplify54.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	86
5	86
4	78
3	57
2	33
1	16
0	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 3 (* z z) (* x y))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(fma 3 (* z z) (* x y))

simplify1.2s

Counts

13 → 13

Iterations

Iter	Nodes
done	5001
3	588
2	115
1	37
0	21

prune77.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z z)) (* z z))
0.1b	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
9×	`sum-log`
6×	`fma-def`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `+-commutative` `associate-+l+` `flip3-+` `add-cbrt-cube` `add-exp-log` `flip-+` `log1p-expm1-u`

Counts

2 → 37

Calls

2 calls:

36.0ms	(+ (+ (* x y) (* z z)) (* z z))
112.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series125.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (+ (* x y) (* z z)) (* z z))
71.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.1s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1141
1	209
0	60

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (* 3 z) z (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (* 3 z) z (* x y))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(fma (* 3 z) z (* x y))

simplify6.9s

Counts

13 → 13

Iterations

Iter	Nodes
done	5000
4	3930
3	463
2	100
1	34
0	21

prune99.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
3.1b	(cbrt (+ (* x y) (* z z)))
3.1b	(cbrt (+ (* x y) (* z z)))
3.1b	(cbrt (+ (* x y) (* z z)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

50.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
7.0ms	(cbrt (+ (* x y) (* z z)))
7.0ms	(cbrt (+ (* x y) (* z z)))
7.0ms	(cbrt (+ (* x y) (* z z)))

series749.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt (+ (* x y) (* z z))) (cbrt (+ (* x y) (* z z))))
149.0ms	(cbrt (+ (* x y) (* z z)))
189.0ms	(cbrt (+ (* x y) (* z z)))
207.0ms	(cbrt (+ (* x y) (* z z)))

simplify766.0ms

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1327
1	325
0	123

prune696.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes623.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

694.0ms

12100×

body

valid