Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	36×	body	1280	valid
7.0ms	232×	body	80	valid
6.0ms	39×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 20

Calls

1 calls:

14.0ms

(* (exp re) (cos im))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (exp re) (cos im))

simplify150.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (143.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91

prune60.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (exp re)) (cbrt (exp re)))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))
0.0b	(cbrt (exp re))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

15.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series309.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (cbrt (exp re)) (cbrt (exp re)))
76.0ms	(cbrt (exp re))
73.0ms	(cbrt (exp re))
72.0ms	(cbrt (exp re))

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	118	463
1	379	426
2	1818	393
3	5002	361

prune360.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(log1p (expm1 (* (exp re) (cos im))))
0.4b	(expm1 (* (exp re) (cos im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log` `log1p-expm1-u`
3×	`expm1-log1p-u` `associate-r` `associate-l` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

14.0ms	(* (exp re) (cos im))
0.0ms	(log1p (expm1 (* (exp re) (cos im))))
1.0ms	(expm1 (* (exp re) (cos im)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(* (exp re) (cos im))
60.0ms	(log1p (expm1 (* (exp re) (cos im))))
52.0ms	(expm1 (* (exp re) (cos im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	130	241
1	400	211
2	1501	209
3	5001	209

prune134.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

425.0ms	1486×	body	1280	valid
228.0ms	6956×	body	80	valid
202.0ms	1255×	body	640	valid
63.0ms	608×	body	320	valid
22.0ms	312×	body	160	valid