Details

sample83.0ms

Algorithm

intervals

Results

33.0ms	83×	body	1280	valid
14.0ms	290×	body	80	valid
13.0ms	59×	body	640	valid
5.0ms	35×	body	320	valid
2.0ms	24×	body	160	valid

simplify101.0ms

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	4421	7
9	5001	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite88.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

87.0ms

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

series71.0ms

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	238	265
1	1157	219
2	5002	218

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
5.4b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`add-cube-cbrt`
26×	`exp-prod`
22×	`exp-sum`
19×	`prod-diff`
17×	`unpow-prod-down` `cube-prod`
13×	`pow1`
10×	`pow-pow`
8×	`add-cbrt-cube`
6×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`sub-neg` `swap-sqr` `associate-r` `associate-l`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`cube-div` `pow2` `flip3--` `distribute-rgt-out--` `pow-plus` `exp-diff` `fma-neg` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 134

Calls

4 calls:

13.0ms	(pow (exp (- 0.0 im)) 3)
8.0ms	(* (exp im) (exp im))
2.0ms	(pow (exp im) 3)
7.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series116.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow (exp (- 0.0 im)) 3)
15.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
50.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify119.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	535	830
1	2725	565
2	5002	543

prune554.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

145.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
21.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
20.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
23.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

series541.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
147.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
128.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
126.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

simplify47.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	374	1123
1	1301	983
2	5002	954

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes136.0ms

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	14	7
1	14	7

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3038×	body	1280	valid
580.0ms	2463×	body	640	valid
441.0ms	8441×	body	80	valid
202.0ms	1244×	body	320	valid
68.0ms	635×	body	160	valid