Details

sample26.0ms

Algorithm

intervals

Results

14.0ms

340×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

2.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

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

simplify118.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune35.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.im) (* x.re y.im))
0.3b	(* (* x.im y.re) (* x.im y.re))
2.8b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
26.0b	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

9.0ms	(* (* x.re y.im) (* x.re y.im))
9.0ms	(* (* x.im y.re) (* x.im y.re))
12.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
29.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x.re y.im) (* x.re y.im))
28.0ms	(* (* x.im y.re) (* x.im y.re))
96.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
73.0ms	(/ (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (- (* x.re y.im) (* x.im y.re)))

simplify76.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	413	954
1	2306	805
2	5002	788

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x.re y.im) (* x.re y.im))
0.3b	(* (* x.im y.re) (* x.im y.re))
2.8b	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
25.9b	(* (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (/ 1 (- (* x.re y.im) (* x.im y.re))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

84×	`pow1`
37×	`add-exp-log`
35×	`pow-prod-down`
33×	`add-cbrt-cube`
20×	`prod-exp`
19×	`add-sqr-sqrt`
18×	`cbrt-unprod`
17×	`associate-r`
13×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`associate-l` `add-log-exp`
4×	`flip3--` `pow-plus` `flip--`
3×	`*-commutative` `unswap-sqr`
2×	`pow2` `frac-times` `swap-sqr` `div-exp` `associate-*l/` `associate-/r/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `rec-exp` `diff-log` `1-exp` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 124

Calls

4 calls:

9.0ms	(* (* x.re y.im) (* x.re y.im))
9.0ms	(* (* x.im y.re) (* x.im y.re))
10.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
50.0ms	(* (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (/ 1 (- (* x.re y.im) (* x.im y.re))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x.re y.im) (* x.re y.im))
31.0ms	(* (* x.im y.re) (* x.im y.re))
98.0ms	(- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re)))
75.0ms	(* (- (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.im y.re))) (/ 1 (- (* x.re y.im) (* x.im y.re))))

simplify132.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (122.0ms)

Iter	Nodes	Cost
0	462	1020
1	2971	844
2	5002	759

prune191.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

end0.0ms

sample714.0ms

Algorithm

intervals

Results

455.0ms

10465×

body

valid