Details

analyze358.0ms

Algorithm: search

sample113.0ms

Algorithm

intervals

Results

35.0ms	59×	body	1280	valid
18.0ms	51×	body	1280	invalid
16.0ms	53×	body	640	valid
9.0ms	34×	body	640	invalid
8.0ms	128×	body	80	valid
5.0ms	83×	body	80	invalid
5.0ms	27×	body	320	invalid
2.0ms	11×	body	320	valid
1.0ms	6×	body	160	invalid
1.0ms	5×	body	160	valid

simplify106.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

11.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	231	248
1	1098	203
2	5001	203

prune43.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
0.0b	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
0.0b	(* (* 0.5 (sin re)) (exp im))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-l` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

12.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
6.0ms	(* (* 0.5 (sin re)) (exp im))

series37.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	327	481
1	1562	398
2	5001	393

prune80.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	60	3	63

Merged error: 0b

Counts

63 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
0.1b	(pow (exp (- 0.0 im)) 3)
0.1b	(pow (exp im) 3)
7.0b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
50×	`exp-prod`
38×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
16×	`exp-sum`
13×	`pow1` `distribute-lft-out--`
10×	`pow-pow`
9×	`sub-neg`
8×	`unpow-prod-down` `cube-prod` `pow-prod-down` `pow-sqr` `pow-prod-up` `add-cbrt-cube`
7×	`swap-sqr` `difference-of-squares`
6×	`pow-unpow` `add-log-exp`
5×	`exp-diff` `associate-r` `associate-l`
4×	`add-exp-log`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `frac-times` `flip3--` `distribute-rgt-out--` `pow-plus` `diff-log` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

12.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
6.0ms	(pow (exp (- 0.0 im)) 3)
3.0ms	(pow (exp im) 3)
6.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (exp (- 0.0 im)) (exp (- 0.0 im)))
4.0ms	(pow (exp (- 0.0 im)) 3)
4.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify102.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	426	614
1	2417	535
2	5001	502

prune245.0ms

Filtered

78 candidates to 141 candidates (-80.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	141	3	144

Merged error: 0b

Counts

144 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.1b	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
3.0b	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
8×	`add-exp-log` `add-cbrt-cube`
7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `log-prod`
4×	`associate-r` `exp-sum`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod`
2×	`exp-prod` `exp-to-pow` `associate-*r/`
1×	`flip3-+` `rem-log-exp` `associate-l` `*-commutative` `flip-+` `rem-exp-log` `distribute-lft-out`

Counts

3 → 51

Calls

3 calls:

11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
6.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
4.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series47.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
19.0ms	(exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
14.0ms	(log (exp (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify39.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	286	570
1	1232	484
2	5001	484

prune76.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	60	3	63

Merged error: 0b

Counts

63 → 3

regimes252.0ms

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	16	10
1	16	10

end0.0ms

analyze349.0ms

Algorithm: search

sample3.1s

Algorithm

intervals

Results

838.0ms	1529×	body	1280	valid
557.0ms	1529×	body	1280	invalid
379.0ms	1240×	body	640	valid
316.0ms	1234×	body	640	invalid
273.0ms	4322×	body	80	valid
159.0ms	2474×	body	80	invalid
121.0ms	624×	body	320	valid
114.0ms	632×	body	320	invalid
39.0ms	293×	body	160	invalid
37.0ms	285×	body	160	valid

Details

analyze358.0ms

sample113.0ms

simplify106.0ms

prune3.0ms

localize10.0ms

rewrite12.0ms

series15.0ms

simplify34.0ms

prune43.0ms

localize11.0ms

rewrite29.0ms

series37.0ms

simplify53.0ms

prune80.0ms

localize20.0ms

rewrite32.0ms

series19.0ms

simplify102.0ms

prune245.0ms

localize13.0ms

rewrite22.0ms

series47.0ms

simplify39.0ms

prune76.0ms

regimes252.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze349.0ms

sample3.1s

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