Details

sample45.0ms

Algorithm

intervals

Results

27.0ms

456×

body

valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3015
6	1214
5	597
4	245
3	121
2	51
1	20
0	11

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x.re x.im) (* x.im x.re))
0.2b	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
6.8b	(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-*l/`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
7×	`associate-l`
6×	`associate-r`
5×	`flip3-+` `flip-+`
4×	`frac-add`
3×	`flip3--` `flip--`
2×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 67

Calls

4 calls:

7.0ms	(+ (* x.re x.im) (* x.im x.re))
17.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
22.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
24.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

series270.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* x.re x.im) (* x.im x.re))
38.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
107.0ms	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
81.0ms	(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify2.1s

Counts

79 → 79

Iterations

Iter	Nodes
done	5004
2	1703
1	405
0	135

prune418.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

42×	`associate-*l/`
20×	`flip3-+` `flip-+`
16×	`frac-add`
12×	`frac-times`
11×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`add-sqr-sqrt` `*-un-lft-identity` `flip3--` `flip--`
8×	`add-log-exp`
7×	`associate-l` `add-cube-cbrt`
6×	`associate-*r/`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `sum-log` `*-commutative`
1×	`distribute-lft-out` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

11.0ms	(+ (* x.re x.im) (* x.im x.re))
32.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
57.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
39.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

series261.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (* x.re x.im) (* x.im x.re))
23.0ms	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
111.0ms	(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
104.0ms	(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify3.7s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	4144
1	713
0	197

prune509.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

49.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
13.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
14.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series664.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(* (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re)))
151.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
164.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
159.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	5003
3	1991
2	805
1	310
0	124

prune566.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize128.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
15.9b	(cbrt (+ (* x.re x.im) (* x.im x.re)))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
25.5b	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `associate-*l/` `add-exp-log` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

1.0ms	(cbrt x.re)
7.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
13.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
13.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series747.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(cbrt x.re)
129.0ms	(cbrt (+ (* x.re x.im) (* x.im x.re)))
145.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))
179.0ms	(cbrt (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify1.5s

Counts

58 → 58

Iterations

Iter	Nodes
done	5002
3	1617
2	572
1	242
0	107

prune458.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.7s

14360×

body

valid