Details

sample47.0ms

Algorithm

intervals

Results

17.0ms	52×	body	1280	valid
8.0ms	208×	body	80	valid
8.0ms	40×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	13×	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

localize9.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

6.0ms

(* (exp re) (sin im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify171.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	91	106
1	300	93
2	1154	93
3	4869	92
4	5001	92

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 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))

rewrite30.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

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

series87.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (53.0ms)

Iter	Nodes	Cost
0	162	340
1	623	288
2	2267	288
3	5001	280

prune107.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 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))

rewrite32.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 103

Calls

4 calls:

13.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
8.0ms	(* (sqrt (exp re)) (sin im))
6.0ms	(pow (* (sqrt (exp re)) (sin im)) 3)
2.0ms	(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

series199.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (sin im)) 3)))
52.0ms	(* (sqrt (exp re)) (sin im))
57.0ms	(pow (* (sqrt (exp re)) (sin im)) 3)
52.0ms	(cbrt (pow (* (sqrt (exp re)) (sin im)) 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	270	847
1	1195	792
2	5001	772

prune281.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1/2 (* re im) im)
5.7b	(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
10.2b	(* (pow re 2) im)
11.1b	(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`associate-l`
11×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
6×	`pow1` `associate-r` `unswap-sqr`
4×	`expm1-log1p-u` `unpow-prod-down` `prod-exp` `sqrt-prod` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-prod-down` `pow-exp`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma 1/2 (* re im) im)
0.0ms	(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
6.0ms	(* (pow re 2) im)
8.0ms	(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma 1/2 (* re im) im)
31.0ms	(fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im))
23.0ms	(* (pow re 2) im)
49.0ms	(* (sqrt (exp re)) (fma 1/8 (* (pow re 2) im) (fma 1/2 (* re im) im)))

simplify43.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	239	558
1	1016	490
2	5001	490

prune222.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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

456.0ms	1538×	body	1280	valid
246.0ms	6805×	body	80	valid
227.0ms	1265×	body	640	valid
75.0ms	639×	body	320	valid
24.0ms	314×	body	160	valid