Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

352×

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify117.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

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

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x.re y.im) (* x.im y.re))
1.7b	(log (+ (* x.re y.im) (* x.im y.re)))
2.8b	(exp (log (+ (* x.re y.im) (* x.im y.re))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1` `add-log-exp`
4×	`add-exp-log` `log-div` `exp-prod`
3×	`flip3-+` `exp-sum` `add-cbrt-cube` `flip-+`
2×	`exp-diff` `log-pow`
1×	`+-commutative` `rem-log-exp` `sum-log` `rem-exp-log`

Counts

3 → 42

Calls

3 calls:

4.0ms	(+ (* x.re y.im) (* x.im y.re))
3.0ms	(log (+ (* x.re y.im) (* x.im y.re)))
5.0ms	(exp (log (+ (* x.re y.im) (* x.im y.re))))

series114.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x.re y.im) (* x.im y.re))
52.0ms	(log (+ (* x.re y.im) (* x.im y.re)))
31.0ms	(exp (log (+ (* x.re y.im) (* x.im y.re))))

simplify126.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	177	313
1	493	282
2	1278	276
3	3421	270
4	5002	270

prune110.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y.re x.im) (* y.im x.re))
0.3b	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
33.0b	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

rewrite13.0ms

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×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* y.re x.im) (* y.im x.re))
4.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
4.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

series201.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* y.re x.im) (* y.im x.re))
128.0ms	(pow (+ (* y.re x.im) (* y.im x.re)) 3)
38.0ms	(cbrt (pow (+ (* y.re x.im) (* y.im x.re)) 3))

simplify47.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	258	435
1	1250	410
2	5002	402

prune126.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
1.0b	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
1.7b	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
35.7b	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
11×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
5×	`sum-cubes` `distribute-lft-out` `associate-/l*`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `flip3-+` `flip-+`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r*` `cbrt-unprod`
2×	`+-commutative` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

7.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
9.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
7.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
16.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3))
94.0ms	(+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im)))
57.0ms	(* (* x.im y.re) (- (* x.im y.re) (* x.re y.im)))
138.0ms	(/ (+ (pow (* x.re y.im) 3) (pow (* x.im y.re) 3)) (+ (* (* x.im y.re) (- (* x.im y.re) (* x.re y.im))) (* (* x.re y.im) (* x.re y.im))))

simplify109.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	436	1484
1	2568	1353
2	5002	1348

prune269.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes150.0ms

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

sample478.0ms

Algorithm

intervals

Results

230.0ms

10407×

body

valid