Details

sample76.0ms

Algorithm

intervals

Results

21.0ms	44×	body	1280	valid
16.0ms	271×	body	80	valid
12.0ms	47×	body	640	valid
6.0ms	122×	body	80	overflowed
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1662	7
8	4217	7
9	5002	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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)))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

40.0ms	(+ (exp (- 0.0 im)) (exp im))
110.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (exp (- 0.0 im)) (exp im))
58.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	268	349
1	1226	295
2	5002	294

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp (- 0.0 im)) 3)
0.1b	(* (exp im) (exp im))
0.1b	(pow (exp im) 3)
6.2b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt` `exp-prod`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
13×	`pow1`
10×	`pow-pow`
8×	`unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `add-log-exp`
4×	`add-exp-log` `exp-sum` `pow-prod-down` `pow-sqr` `pow-prod-up`
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` `diff-log` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

22.0ms	(pow (exp (- 0.0 im)) 3)
16.0ms	(* (exp im) (exp im))
4.0ms	(pow (exp im) 3)
16.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(pow (exp (- 0.0 im)) 3)
11.0ms	(* (exp im) (exp im))
24.0ms	(pow (exp im) 3)
39.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify92.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	375	485
1	2149	423
2	5002	408

prune349.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (* re (pow im 2)))
0.1b	(* 0.16666666666666666 (pow re 3))
8.1b	(* re (pow im 2))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`add-exp-log`
21×	`associate-r`
13×	`prod-exp`
12×	`add-cbrt-cube`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l`
8×	`unpow-prod-down` `unswap-sqr`
5×	`pow1` `cbrt-unprod`
4×	`cube-prod` `sqr-pow`
3×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
2×	`unpow2`
1×	`cube-mult` `unpow3` `pow-prod-down`

Counts

3 → 77

Calls

3 calls:

22.0ms	(* 0.5 (* re (pow im 2)))
12.0ms	(* 0.16666666666666666 (pow re 3))
12.0ms	(* re (pow im 2))

series95.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* 0.5 (* re (pow im 2)))
33.0ms	(* 0.16666666666666666 (pow re 3))
26.0ms	(* re (pow im 2))

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	271	315
1	1155	269
2	5001	267

prune156.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

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

sample2.3s

Algorithm

intervals

Results

763.0ms	1555×	body	1280	valid
438.0ms	8478×	body	80	valid
357.0ms	1304×	body	640	valid
167.0ms	3599×	body	80	overflowed
97.0ms	590×	body	320	valid
36.0ms	303×	body	160	valid