Details

sample158.0ms

Algorithm

intervals

Results

60.0ms	91×	body	1280	valid
32.0ms	257×	body	80	valid
30.0ms	71×	body	640	valid
15.0ms	47×	body	320	valid
4.0ms	18×	body	160	valid

simplify69.0ms

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

localize14.0ms

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)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

14×	`fma-def` `*-un-lft-identity`
11×	`exp-sum`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-diff`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 53

Calls

2 calls:

57.0ms	(+ (exp (- 0.0 im)) (exp im))
94.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series95.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp (- 0.0 im)) (exp im))
72.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	277	376
1	1271	319
2	5001	317

prune171.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp im) (exp im))
0.0b	(pow (exp (- 0.0 im)) 3)
0.0b	(pow (exp im) 3)
7.3b	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite35.0ms

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:

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (exp im) (exp im))
26.0ms	(pow (exp (- 0.0 im)) 3)
23.0ms	(pow (exp im) 3)
51.0ms	(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify116.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (103.0ms)

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

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
0.3b	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
7.4b	(- (exp (- 0.0 im)) (exp im))
7.4b	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

78×	`prod-diff`
58×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
50×	`add-cube-cbrt`
44×	`exp-sum`
15×	`add-exp-log` `add-cbrt-cube`
14×	`fma-neg`
6×	`pow1` `add-log-exp`
5×	`sub-neg` `times-frac` `associate-/r*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`flip3--` `associate-/r/` `flip--`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 133

Calls

4 calls:

3.0ms	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
49.0ms	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
43.0ms	(- (exp (- 0.0 im)) (exp im))
0.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
149.0ms	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
35.0ms	(- (exp (- 0.0 im)) (exp im))
78.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))

simplify79.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	616	2366
1	2479	1575
2	5001	1566

prune386.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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

sample3.9s

Algorithm

intervals

Results

1.5s	2900×	body	1280	valid
818.0ms	2478×	body	640	valid
813.0ms	8429×	body	80	valid
289.0ms	1216×	body	320	valid
101.0ms	605×	body	160	valid