Details

sample130.0ms

Algorithm

intervals

Results

51.0ms	86×	body	1280	valid
31.0ms	84×	body	640	valid
19.0ms	249×	body	80	valid
8.0ms	37×	body	320	valid
2.0ms	16×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	64	7
2	126	7
3	212	7
4	323	7
5	864	7
6	1202	7
7	1800	7
8	4419	7
9	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`associate-l`
14×	`fma-def`
13×	`add-cube-cbrt`
11×	`exp-sum`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube`
4×	`add-log-exp` `unswap-sqr`
3×	`+-commutative` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-r/` `-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`sub-neg` `sum-log`

Counts

2 → 68

Calls

2 calls:

10.0ms	(+ (exp (- 0.0 im)) (exp im))
17.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp (- 0.0 im)) (exp im))
71.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	357	512
1	1469	455
2	5001	453

prune165.0ms

Filtered

74 candidates to 57 candidates (23.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	3	75

Merged error: 0b

Counts

75 → 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))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

87×	`associate-l`
59×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`associate-r`
34×	`add-cube-cbrt`
33×	`fma-def`
22×	`exp-sum`
21×	`distribute-lft-out`
19×	`add-exp-log`
18×	`prod-diff`
14×	`unswap-sqr`
13×	`pow1` `add-cbrt-cube`
12×	`prod-exp`
10×	`*-commutative`
6×	`pow-prod-down` `cbrt-unprod`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*r/` `sum-log` `flip-+`

Counts

3 → 150

Calls

3 calls:

50.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
18.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms	(* (* 0.5 (sin re)) (exp im))

series176.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms	(* (* 0.5 (sin re)) (exp (- 0.0 im)))
38.0ms	(* (* 0.5 (sin re)) (exp im))

simplify68.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	537	937
1	2177	828
2	5001	821

prune333.0ms

Filtered

159 candidates to 119 candidates (25.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	160	2	162

Merged error: 0b

Counts

162 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-l`
12×	`add-sqr-sqrt`
9×	`add-exp-log`
6×	`pow1` `associate-r` `prod-exp` `add-cbrt-cube`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unswap-sqr`
3×	`pow-prod-down` `cbrt-unprod`
2×	`*-commutative`
1×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

1 → 35

Calls

1 calls:

9.0ms

(* (* 0.5 (sin re)) (exp im))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (* 0.5 (sin re)) (exp im))

simplify67.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	176	214
1	664	189
2	3044	189
3	5002	188

prune86.0ms

Filtered

38 candidates to 28 candidates (26.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Merged error: 0b

Counts

40 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.3b	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
0.3b	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
7.2b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

1318×	`*-un-lft-identity`
888×	`associate-l`
583×	`add-sqr-sqrt`
489×	`prod-diff`
373×	`add-cube-cbrt`
364×	`times-frac`
320×	`distribute-lft-out`
306×	`associate-r`
239×	`distribute-lft-out--`
176×	`exp-sum`
106×	`unswap-sqr`
76×	`*-commutative`
74×	`swap-sqr`
63×	`pow-unpow`
60×	`sum-cubes`
44×	`unpow-prod-down`
28×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
17×	`sub-neg`
15×	`fma-neg`
13×	`associate-/r*`
11×	`difference-of-squares`
10×	`pow1`
8×	`distribute-rgt-out--` `exp-diff` `associate-/r/`
6×	`pow-pow` `associate-*r/` `frac-add` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`exp-prod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`cbrt-undiv` `flip3-+` `div-exp` `pow-prod-down` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*l/` `pow-exp` `associate-/l/`
1×	`pow-to-exp` `frac-2neg` `diff-log` `unpow3` `clear-num` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 914

Calls

4 calls:

7.0ms	(pow (exp (- 0.0 im)) 3)
137.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
27.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
41.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (exp (- 0.0 im)) 3)
236.0ms	(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
102.0ms	(* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
56.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify256.0ms

Algorithm

egg-herbie

Counts

926 → 926

Iterations

Useful iterations: 1 (48.0ms)

Iter	Nodes	Cost
0	2282	29743
1	5002	21815

prune1.2s

Filtered

926 candidates to 249 candidates (73.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	926	0	926
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	926	2	928

Merged error: 0b

Counts

928 → 2

regimes68.0ms

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	18	10
1	22	10
2	22	10

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	2947×	body	1280	valid
616.0ms	2589×	body	640	valid
435.0ms	8602×	body	80	valid
193.0ms	1241×	body	320	valid
68.0ms	661×	body	160	valid