Details

sample139.0ms

Algorithm

intervals

Results

56.0ms	99×	body	1280	valid
27.0ms	78×	body	640	valid
19.0ms	272×	body	80	valid
11.0ms	48×	body	320	valid
3.0ms	19×	body	160	valid

simplify105.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (14.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1514	6
7	2284	6
8	5001	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

0.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
3.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
3.0ms	(/ 0.5 (exp im))

series124.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
69.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
13.0ms	(/ 0.5 (exp im))

simplify121.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 3 (114.0ms)

Iter	Nodes	Cost
0	215	417
1	712	366
2	4318	366
3	5001	364

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
0.0b	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
0.0b	(/ (sqrt 0.5) (exp im))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
25×	`associate-r`
13×	`add-cbrt-cube`
11×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`unswap-sqr`
6×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `associate-/r*` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num` `fma-udef`

Counts

4 → 121

Calls

4 calls:

0.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
6.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
7.0ms	(/ (sqrt 0.5) (exp im))
29.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))
163.0ms	(* (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))) (cos re))
36.0ms	(/ (sqrt 0.5) (exp im))
69.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))

simplify52.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	383	1087
1	1654	936
2	5002	897

prune350.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `fma-udef` `div-inv` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

0.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series124.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(fma (exp im) (* 0.5 (cos re)) (/ (* 0.5 (cos re)) (exp im)))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify107.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	185	290
1	784	243
2	3962	240
3	5001	238

prune104.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 0.5) (exp im))
0.0b	(exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))
1.0b	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
2.6b	(log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
40×	`times-frac`
37×	`add-cube-cbrt` `*-un-lft-identity`
29×	`sqrt-prod`
22×	`associate-r`
11×	`add-cbrt-cube`
10×	`add-exp-log`
8×	`pow1`
6×	`log-prod` `associate-l` `associate-/l*` `unswap-sqr`
4×	`expm1-log1p-u` `exp-prod` `log1p-expm1-u` `add-log-exp`
3×	`exp-sum` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `log-pow` `cbrt-unprod` `div-inv`
1×	`frac-2neg` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `-commutative` `rem-exp-log`

Counts

4 → 122

Calls

4 calls:

4.0ms	(/ (sqrt 0.5) (exp im))
1.0ms	(exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))
17.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
1.0ms	(log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))

series442.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (sqrt 0.5) (exp im))
93.0ms	(exp (log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im))))))
64.0ms	(* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))
250.0ms	(log (fma 0.5 (exp im) (* (sqrt 0.5) (/ (sqrt 0.5) (exp im)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	418	1135
1	1820	991
2	5001	930

prune421.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	8
1	16	8
2	16	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3006×	body	1280	valid
550.0ms	2552×	body	640	valid
374.0ms	8589×	body	80	valid
180.0ms	1267×	body	320	valid
60.0ms	654×	body	160	valid