Details

sample41.0ms

Algorithm

intervals

Results

15.0ms	52×	body	1280	valid
7.0ms	208×	body	80	valid
7.0ms	40×	body	640	valid
2.0ms	21×	body	320	valid
1.0ms	13×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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	(* (exp re) (sin im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (sin im))

simplify166.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune41.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

20.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
8.0ms	(* (sqrt (exp re)) (sin im))

series86.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
50.0ms	(* (sqrt (exp re)) (sin im))

simplify58.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	154	318
1	601	264
2	2170	264
3	5001	257

prune95.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
0.0b	(* (sqrt (exp re)) (sin im))
0.2b	(pow (* (sqrt (exp re)) (sin im)) 3)
11.0b	(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
20×	`cbrt-prod`
14×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
11×	`pow1` `add-exp-log`
10×	`sqrt-prod` `add-cbrt-cube`
8×	`unswap-sqr`
5×	`sqr-pow`
4×	`add-log-exp`
3×	`cube-mult` `unpow-prod-down` `pow-unpow` `unpow3` `cube-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow-to-exp` `pow1/3` `rem-cbrt-cube`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
7.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(pow (* (sqrt (exp re)) (sin im)) 3)
2.0ms	(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

series197.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
44.0ms	(* (sqrt (exp re)) (sin im))
61.0ms	(pow (* (sqrt (exp re)) (sin im)) 3)
49.0ms	(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

simplify44.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	257	811
1	1146	751
2	5001	731

prune241.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

3.8b	(* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))
11.1b	(* (sqrt (exp re)) (+ im (* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

10.0ms	(* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))
15.0ms	(* (sqrt (exp re)) (+ im (* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))))

series132.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))
46.0ms	(* (sqrt (exp re)) (+ im (* im (+ (* 1/8 (pow re 2)) (* 1/2 re)))))

simplify53.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	323	525
1	1773	467
2	5001	467

prune119.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes105.0ms

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	6	3
1	6	3

end0.0ms

sample1.2s

Algorithm

intervals

Results

453.0ms	1538×	body	1280	valid
240.0ms	6805×	body	80	valid
209.0ms	1265×	body	640	valid
76.0ms	639×	body	320	valid
23.0ms	314×	body	160	valid