Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	51×	body	1280	valid
9.0ms	242×	body	80	valid
6.0ms	34×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(* (exp re) (sin im))

simplify164.0ms

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

prune43.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))

series111.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
51.0ms	(* (sqrt (exp re)) (sin im))

simplify62.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2306	370
3	5001	359

prune363.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`sqrt-prod`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (sin im))
24.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (sin im))
93.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im)))

simplify86.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	206	507
1	748	457
2	3530	447
3	5002	444

prune233.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

43×	`sqrt-prod`
36×	`cbrt-prod`
30×	`associate-l`
29×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
13×	`pow1`
12×	`add-exp-log` `add-cbrt-cube`
6×	`pow-pow`
4×	`sqrt-pow1` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`cube-mult` `pow-unpow` `exp-prod` `unpow3` `sqr-pow`
2×	`*-commutative` `unswap-sqr`
1×	`pow-to-exp` `pow1/2` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 123

Calls

4 calls:

8.0ms	(* (sqrt (exp re)) (sin im))
2.0ms	(cbrt (pow (sqrt (exp re)) 3))
32.0ms	(* (sqrt (cbrt (pow (sqrt (exp re)) 3))) (* (sqrt (exp re)) (sin im)))
3.0ms	(pow (sqrt (exp re)) 3)

series192.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sqrt (exp re)) (sin im))
12.0ms	(cbrt (pow (sqrt (exp re)) 3))
94.0ms	(* (sqrt (cbrt (pow (sqrt (exp re)) 3))) (* (sqrt (exp re)) (sin im)))
36.0ms	(pow (sqrt (exp re)) 3)

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	362	859
1	1710	748
2	5001	721

prune336.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes101.0ms

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

sample1.3s

Algorithm

intervals

Results

471.0ms	1528×	body	1280	valid
269.0ms	6993×	body	80	valid
240.0ms	1276×	body	640	valid
75.0ms	657×	body	320	valid
23.0ms	287×	body	160	valid