Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

331×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	18	7
done	18	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

(- (* x.re y.re) (* x.im y.im))

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(- (* x.re y.re) (* x.im y.im))

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 3 (172.0ms)

Iter	Nodes	Cost
0	33	168
1	92	163
2	273	163
3	788	149
4	1796	149
done	5000	149

prune41.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x.re y.re) (* x.im y.im))
0.3b	(pow (- (* x.re y.re) (* x.im y.im)) 3)
36.8b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

17.0ms	(- (* x.re y.re) (* x.im y.im))
22.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
20.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

series297.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x.re y.re) (* x.im y.im))
182.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3)
57.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3))

simplify938.0ms

Counts

69 → 69

Iterations

Useful iterations: done (934.0ms)

Iter	Nodes	Cost
0	97	1098
1	256	909
2	838	825
done	5001	821

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
0.9b	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
7.4b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
7.4b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `pow-unpow`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp`

Counts

4 → 64

Calls

4 calls:

21.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
11.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
13.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
22.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

series645.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
201.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
132.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
151.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

simplify4.1s

Counts

76 → 76

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	94	1212
1	214	1142
2	520	1072
3	1490	1040
4	4997	1018
done	5001	1018

prune368.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
7.4b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
7.4b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
7.4b	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 62

Calls

4 calls:

22.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
20.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
20.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
10.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

series504.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(pow (- (* x.re y.re) (* x.im y.im)) 3/2)
98.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
126.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))
124.0ms	(cbrt (pow (- (* x.re y.re) (* x.im y.im)) 3/2))

simplify4.0s

Counts

74 → 74

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	94	1272
1	214	1211
2	520	1124
3	1490	1078
4	4997	1061
done	5001	1061

prune417.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	9	7
done	9	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

518.0ms

10411×

body

valid