Details

sample38.0ms

Algorithm

intervals

Results

22.0ms

450×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1519
4	433
3	149
2	61
1	23
0	11

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
0.2b	(* 3 (* x.re x.im))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`associate-r` `*-commutative` `fma-udef`

Counts

2 → 30

Calls

2 calls:

1.0ms	(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
28.0ms	(* 3 (* x.re x.im))

series130.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(fma (* 3 (* x.re x.im)) x.re (- (pow x.im 3)))
31.0ms	(* 3 (* x.re x.im))

simplify2.8s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	4574
2	573
1	128
0	57

prune177.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x.im x.re) (* 3 x.re)) (- (pow x.im 3)))
0.2b	(* (* x.im x.re) (* 3 x.re))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-log-exp`
2×	`add-sqr-sqrt` `expm1-log1p-u` `sum-log` `*-un-lft-identity` `add-cube-cbrt` `log1p-expm1-u`
1×	`neg-sub0` `+-commutative` `associate-+r-` `fma-def` `flip3-+` `associate-r` `associate-l` `unsub-neg` `neg-log` `*-commutative` `flip-+`

Counts

2 → 42

Calls

2 calls:

35.0ms	(+ (* (* x.im x.re) (* 3 x.re)) (- (pow x.im 3)))
45.0ms	(* (* x.im x.re) (* 3 x.re))

series147.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (* (* x.im x.re) (* 3 x.re)) (- (pow x.im 3)))
60.0ms	(* (* x.im x.re) (* 3 x.re))

simplify1.8s

Counts

48 → 48

Iterations

Iter	Nodes
done	5001
2	1413
1	236
0	78

prune196.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow (* (* (* 3 x.re) x.im) x.re) 1) (- (pow x.im 3)))
0.1b	(* (* (* 3 x.re) x.im) x.re)
0.2b	(* (* 3 x.re) x.im)

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `associate-r` `add-cube-cbrt`
5×	`fma-def`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sum-log` `associate-l` `*-commutative` `distribute-lft-out`
1×	`neg-sub0` `+-commutative` `associate-+r-` `unpow-prod-down` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `neg-log` `flip-+` `sqr-pow`

Counts

3 → 67

Calls

3 calls:

28.0ms	(+ (pow (* (* (* 3 x.re) x.im) x.re) 1) (- (pow x.im 3)))
78.0ms	(* (* (* 3 x.re) x.im) x.re)
15.0ms	(* (* 3 x.re) x.im)

series182.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ (pow (* (* (* 3 x.re) x.im) x.re) 1) (- (pow x.im 3)))
46.0ms	(* (* (* 3 x.re) x.im) x.re)
34.0ms	(* (* 3 x.re) x.im)

simplify2.3s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
2	2228
1	287
0	100

prune372.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3)))) x.re (- (pow x.im 3)))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3))))
0.2b	(* x.im (* x.re (cbrt 3)))
0.4b	(* x.re (cbrt 3))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
7×	`associate-l`
4×	`cbrt-prod` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 84

Calls

4 calls:

0.0ms	(fma (* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3)))) x.re (- (pow x.im 3)))
81.0ms	(* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3))))
16.0ms	(* x.im (* x.re (cbrt 3)))
12.0ms	(* x.re (cbrt 3))

series405.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(fma (* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3)))) x.re (- (pow x.im 3)))
116.0ms	(* (* (cbrt 3) (cbrt 3)) (* x.im (* x.re (cbrt 3))))
88.0ms	(* x.im (* x.re (cbrt 3)))
80.0ms	(* x.re (cbrt 3))

simplify848.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1187
1	275
0	111

prune503.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.7s

14293×

body

valid