Details

sample87.0ms

Algorithm

intervals

Results

34.0ms	84×	body	1280	valid
18.0ms	76×	body	640	valid
11.0ms	237×	body	80	valid
8.0ms	50×	body	320	valid
2.0ms	20×	body	160	valid

simplify68.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite111.0ms

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:

33.0ms	(+ (exp (- 0.0 im)) (exp im))
76.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ (exp (- 0.0 im)) (exp im))
67.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (33.0ms)

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

prune165.0ms

Filtered

59 candidates to 45 candidates (76.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (pow im 4) 1/12 (fma im im 2))
0.0b	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod` `fma-udef`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 32

Calls

2 calls:

0.0ms	(fma (pow im 4) 1/12 (fma im im 2))
8.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

series162.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(fma (pow im 4) 1/12 (fma im im 2))
122.0ms	(* (* 0.5 (sin re)) (fma (pow im 4) 1/12 (fma im im 2)))

simplify32.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	193	281
1	939	234
2	5001	234

prune101.0ms

Filtered

38 candidates to 26 candidates (68.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re)))
0.0b	(fma 0.5 (* (sin re) (pow im 2)) (fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re))))
0.1b	(* (sin re) (pow im 4))
0.1b	(* (sin re) (pow im 2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re)))
0.0ms	(fma 0.5 (* (sin re) (pow im 2)) (fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re))))
6.0ms	(* (sin re) (pow im 4))
7.0ms	(* (sin re) (pow im 2))

series598.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re)))
271.0ms	(fma 0.5 (* (sin re) (pow im 2)) (fma 0.041666666666666664 (* (sin re) (pow im 4)) (* 1.0 (sin re))))
91.0ms	(* (sin re) (pow im 4))
48.0ms	(* (sin re) (pow im 2))

simplify36.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	287	567
1	1094	494
2	5001	492

prune262.0ms

Filtered

88 candidates to 64 candidates (72.7%)

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))
0.2b	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
4.9b	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
4.9b	(- (exp (- 0.0 im)) (exp im))

rewrite105.0ms

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:

4.0ms	(* (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)))
0.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
46.0ms	(- (exp (- 0.0 im)) (exp im))

series358.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re))
146.0ms	(/ (* (* (fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im)))) (sin re)) 0.5) (- (exp (- 0.0 im)) (exp im)))
76.0ms	(fma (- (exp im)) (exp im) (exp (+ (- 0.0 im) (- 0.0 im))))
36.0ms	(- (exp (- 0.0 im)) (exp im))

simplify77.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (60.0ms)

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

prune368.0ms

Filtered

145 candidates to 87 candidates (60.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes131.0ms

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	2906×	body	1280	valid
595.0ms	2481×	body	640	valid
426.0ms	8413×	body	80	valid
191.0ms	1199×	body	320	valid
71.0ms	604×	body	160	valid